question_answer 1) A Carnot's engine has an efficiency of 50% at sink temperature\[50{}^\circ C\]. Calculate the temperature of source.
A)
\[133{}^\circ C\]
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B)
\[143{}^\circ C\]
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C)
\[100{}^\circ C\]
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D)
\[373{}^\circ C\]
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question_answer 2) Which of the following is not a state function?
A)
Work done at constant pressure
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B)
Enthalpy
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C)
Work done by conservative force
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D)
Work done by non-conservative force
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question_answer 3) What is the Q-value of the reaction? \[P{{+}^{7}}Li{{\xrightarrow[{}]{{}}}^{4}}He{{+}^{4}}He\] The atomic masses of \[^{1}H,\,{{\,}^{4}}He\,\,and\,{{\,}^{7}}Li\]are 1.0078254U, 4.0026034U and 7.016004U respectively
A)
17.35 MeV
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B)
18.06 MeV
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C)
177.35 MeV
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D)
170.35 MeV
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question_answer 4) If average velocity becomes 4 times then, what will be the effect on rms velocity at that temperature?
A)
1.4 times
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B)
4 times
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C)
2 times
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D)
\[\frac{1}{4}\]times
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question_answer 5) An aluminium rod and a copper rod are taken such that their lengths are same and their resistances are also same. The specific resistance of copper is half that of aluminium, but its density is three times that of aluminium. The ratio of the mass of aluminium rod and that of copper rod will be
A)
1/6
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B)
2/3
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C)
1/3
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D)
6
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question_answer 6) In a potentiometer, the null point is received at 7th wire. If now we have to change the null point at 9th wire, what should we do?
A)
Attach resistance in series with battery
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B)
Increase resistance in main circuit
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C)
Decrease resistance in main circuit
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D)
Decrease applied emf
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question_answer 7)
The earth moves in an elliptical orbit with the sun S at one of foci as shown in the figure. Its rotational kinetic energy is maximum at the point.
A)
A
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B)
B
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C)
C
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D)
D
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question_answer 8) If BH = \[\frac{1}{\sqrt{3}}{{B}_{V}},\]find the angle of dip. (where symbols have at their usual meanings)
A)
\[60{}^\circ \]
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B)
\[30{}^\circ \]
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C)
\[45{}^\circ \]
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D)
\[90{}^\circ \]
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question_answer 9) Reverberation time does not depend upon
A)
temperature
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B)
volume of room
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C)
size of window
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D)
carpet and curtain
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question_answer 10) The water of volume\[4\text{ }{{m}^{3}}\]at the height 20 m is pressed by\[2\times {{10}^{5}}N\]pressure. The work done by motor is
A)
\[8\times {{10}^{5}}J\]
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B)
\[16\times {{10}^{5}}J\]
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C)
\[12\times {{10}^{5}}J\]
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D)
\[32\times {{10}^{5}}J\]
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question_answer 11) The wavelength of K \[\alpha \] line in copper is 1.5\[\overset{o}{\mathop{\text{A}}}\,\]. The ionization energy of K electron in copper is
A)
\[11.2\times {{10}^{-17}}J\]
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B)
\[12.9\times {{10}^{-16}}J\]
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C)
\[1.7\times {{10}^{-15}}J\]
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D)
\[10\times {{10}^{-16}}J\]
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question_answer 12) If mass [M], length [L], time [T] and current [A] as fundamental units, the dimensional formula for permeability will be
A)
\[[{{M}^{-1}}L{{T}^{-2}}A]\]
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B)
\[[M{{L}^{-2}}{{T}^{-2}}{{A}^{-1}}]\]
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C)
\[[ML{{T}^{-2}}{{A}^{-2}}]\]
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D)
\[[ML{{T}^{-1}}{{A}^{-1}}]\]
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question_answer 13)
If in the following figure, height of object is\[{{H}_{1}}=+\]2.5 cm, then height of image\[{{H}_{2}}\]formed is
A)
\[-5\text{ }cm\]
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B)
+5 cm
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C)
+7.5cm
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D)
\[-7.5\text{ }cm\]
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question_answer 14) Moment of inertia of ring about its diameter is\[I\]. Then. moment of inertia about an axis passing through centre and perpendicular to its plane is
A)
\[2I\]
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B)
\[\frac{I}{2}\]
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C)
\[\frac{3}{2}I\]
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D)
\[I\]
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question_answer 15) Which of the following is true regarding beats?
A)
Frequency different, amplitude same
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B)
Frequency same, amplitude same
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C)
Frequency same, amplitude different
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D)
None of the above
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question_answer 16) When both the listener and source are moving towards each other, then which of the following is true regarding frequency and wavelength of wave observed by the observer?
A)
More frequency, less wavelength
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B)
More frequency, more wavelength
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C)
Less frequency, less wavelength
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D)
More frequency, constant wavelength
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question_answer 17) In which of the following, force is constant?
A)
Uniform circular motion
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B)
Elliptical motion
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C)
Uniform linear motion
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D)
Projectile motion
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question_answer 18) The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which car can be driven round a curve of radius 40 m without skidding is (assume \[g=10m/{{s}^{2}}\])
A)
40 m/s
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B)
20 m/s
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C)
15 m/s
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D)
10 m/s
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question_answer 19) A bomb of mass 3 kg explodes in air and splits in two parts of 2 kg and 1 kg. Small peace moves with a speed of 80 m/s, then the total energy of both the pieces will be
A)
1.07 kJ
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B)
2.14 kJ
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C)
2.4 kJ
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D)
4.8 kJ
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question_answer 20)
If\[{{k}_{s}}\]and\[{{k}_{p}}\]respectively are effective spring constant in series and parallel combination of springs as shown in figure, find \[\frac{{{k}_{s}}}{{{k}_{p}}}\]
A)
\[\frac{9}{2}\]
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B)
\[\frac{3}{7}\]
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C)
\[\frac{2}{9}\]
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D)
\[\frac{7}{3}\]
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question_answer 21)
A bob of pendulum was filled with Hg and entire Hg is drained out, then the time period of pendulum
A)
remains unchanged
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B)
decreases
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C)
increases
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D)
first increases then decreases
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question_answer 22) The minimum force required to move a body of mass m vertically upward is
A)
\[mg\]
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B)
\[mg/2\]
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C)
more than 2 mg
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D)
more than mg
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question_answer 23) The uncertainty in the momentum of a particle is\[{{10}^{-30}}kg-m/s\]. The minimum uncertainty in its position will be
A)
\[{{10}^{-8}}m\]
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B)
\[{{10}^{-12}}m\]
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C)
\[{{10}^{-16}}m\]
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D)
\[{{10}^{-4}}m\]
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question_answer 24) If distance between earth and sun become four times than time period becomes
A)
4 times
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B)
8 times
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C)
1/4 times
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D)
1/8 times
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question_answer 25) An air bubble is contained inside water. It behaves as
A)
concave lens
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B)
convex lens
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C)
neither convex nor concave
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D)
Cannot say
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question_answer 26) The power dissipated across resistance R which is connected across a battery of potential V is P. If resistance is doubled, then the power becomes
A)
1/2
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B)
2
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C)
1/4
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D)
2
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question_answer 27) BE/nucleon relation with mass number
A)
first decreases then increases
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B)
first increases then decreases
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C)
increases
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D)
decreases
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question_answer 28) A 100 V, AC source of frequency 500 Hz is connected to an L-C-R circuit with L = 8.1 mH, C = 12.5 \[\mu \] F, R = 10 \[\Omega \] all connected. What is the quality factor of circuit?
A)
2.02
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B)
2.5434
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C)
20.54
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D)
200.54
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question_answer 29) The inductance of a coil is L = 10 H and resistance R = 5\[\Omega \]. If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.
A)
\[2\times {{10}^{4}}V\]
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B)
\[1.2\times {{10}^{4}}V\]
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C)
\[2\times {{10}^{-4}}V\]
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D)
None of these
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question_answer 30) Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of linear momenta of B to A is
A)
1 : 3
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B)
3 : 1
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C)
1 : \[\sqrt{3}\]
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D)
\[\sqrt{3}\]: 1
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question_answer 31) Which of the following four fundamental forces has shortest range?
A)
Nuclear
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B)
Gravitational
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C)
Electromagnetic
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D)
Weak force
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question_answer 32) A proton is moving in a uniform magnetic field B in a circular path of radius a in a direction perpendicular to Z axis along which field B exists. Calculate the angular momentum, if the radius is a and charge on proton is e.
A)
\[\frac{Be}{{{a}^{2}}}\]
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B)
\[e{{B}^{2}}a\]
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C)
\[{{a}^{2}}eB\]
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D)
\[aeB\]
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question_answer 33) If acceleration of a particle at any time is given by \[a=2t+5\] Calculate, the velocity after 5s, if it starts from rest.
A)
50 m/s
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B)
25 m/s
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C)
100 m/s
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D)
75 m/s
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question_answer 34) To look inside an atom of diameter 100 pm we have to penetrate it upto a breadth of 10 pm. If we use an electron microscope, the minimum required energy will be
A)
1.5 keV
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B)
15 keV
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C)
150 keV
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D)
1.05 keV
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question_answer 35) A body from height h is dropped. If the coefficient of restitution is e, then calculate the height achieved after one bounce.
A)
\[{{h}_{1}}={{e}^{2}}h\]
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B)
\[{{h}_{1}}={{e}^{4}}h\]
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C)
\[{{h}_{1}}=eh\]
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D)
\[{{h}_{1}}=h/e\]
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question_answer 36) A body moves with uniform acceleration, then which of the following graph is correct?
A)
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B)
done
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C)
done
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D)
done
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question_answer 37) Two vectors are perpendicular, if
A)
\[A\to .B\to =1\]
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B)
\[A\to \times B\to =0\]
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C)
\[A\to .B\to =0\]
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D)
\[A\to \times B\to =AB\]
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question_answer 38) If coefficient of static friction is \[{{\mu }_{s}}\]and coefficient of kinetic friction is \[{{\mu }_{k}}\], which is correct?
A)
\[{{\mu }_{s}}={{\mu }_{k}}\]
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B)
\[{{\mu }_{s}}>{{\mu }_{k}}\]
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C)
\[{{\mu }_{s}}<{{\mu }_{k}}\]
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D)
Cannot predicted
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question_answer 39) Light year is used to measure
A)
distance between stars
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B)
distance between atoms
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C)
revolution time of earth around sun
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D)
None of the above
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question_answer 40) Electromagnetic waves are produced by
A)
accelerated charged particle
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B)
decelerated charged particle
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C)
charge in uniform motion
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D)
None of the above
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question_answer 41) A beam of proton with velocity\[4\times {{10}^{5}}m/s\]enters a uniform magnetic field of 0.3 T at an angle of \[60{}^\circ \]to the magnetic field. Find the radius of the helical path taken by the proton beam.
A)
0.2 cm
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B)
1.2 cm
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C)
2.2 cm
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D)
0.122 cm
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question_answer 42)
Three progressive waves A, B and C are shown in the figure with respect to A, the progressive wave
A)
B lags by \[\frac{\pi }{2}\] and C leads by \[\frac{\pi }{2}\]
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B)
B lags by \[\pi \] and C leads by \[\pi \]
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C)
B leads by \[\frac{\pi }{2}\] and C lags by \[\frac{\pi }{2}\]
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D)
B leads by \[\pi \] and C lags by \[\pi \]
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question_answer 43) When light passes from one medium to other then which will not change?
A)
Frequency
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B)
Wavelength
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C)
Amplitude
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D)
Velocity
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question_answer 44) Total internal reflection takes place
A)
When a ray moves from denser to rarer and incident angle is greater than critical angle.
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B)
When a ray moves from rarer to denser and incident angle is less than critical angle.
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C)
When a ray moves from rarer to denser and incident angle is equal to critical angle.
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D)
None of the above
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question_answer 45) A beam of light travelling along z-axis is described by the electric field \[{{E}_{y}}=(600\,V/m)\sin \omega \left( t-\frac{x}{c} \right)\] then maximum magnetic force on a charge\[q=2e\] moving along y-axis with a speed of \[3.0\times {{10}^{7}}m/s\]is\[(e=1.6\times {{10}^{-19}}C)\]
A)
\[19.2\times {{10}^{-17}}N\]
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B)
\[1.92\times {{10}^{-17}}N\]
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C)
0.992 N
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D)
None of these
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question_answer 46) In hydrogen atom, transition takes from state 2 to 1, an electromagnetic wave of frequency \[2.7\times {{10}^{15}}\]Hz is emitted. If this transition takes place from 3 to 1, emitted frequency will be
A)
\[3.2\times {{10}^{15}}z\]
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B)
\[32\times {{10}^{15}}Hz\]
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C)
\[1.6\times 15\text{ }Hz\]
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D)
\[16\times {{10}^{15}}Hz\]
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question_answer 47) The equipotential surface related to an electric field, increases in magnitude along\[x-\]axis is
A)
plane parallel to y-z plane
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B)
plane parallel to x-y plane
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C)
plane parallel to x-z plane
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D)
equi axis cylinder of increasing radius about\[x-\]axis
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question_answer 48) If 200 MeV energy is released in the fission of 92 U235. What will be the required number of fission per second to produce 1 kW of power?
A)
\[3.12\times {{10}^{13}}\]
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B)
\[3.12\times {{10}^{3}}\]
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C)
\[3.1\times {{10}^{17}}\]
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D)
\[3.12\times {{10}^{19}}\]
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question_answer 49) During projectile motion, the horizontal velocity
A)
first increases then decreases
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B)
first decreases then increases
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C)
always increases
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D)
always constant
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question_answer 50) Find the ratio of acceleration due to gravity g at depth d and at height A, where, d = 2h.
A)
1 : 1
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B)
1 : 2
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C)
2 : 1
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D)
1 : 4
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question_answer 51) What is the stoichiometry coefficient of\[Ca\]in the following reaction? \[Ca+A{{l}^{3+}}\xrightarrow[{}]{{}}C{{a}^{2+}}+Al\]
A)
2
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B)
1
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C)
3
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D)
4
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question_answer 52) What is the value of x in the potash alum \[{{K}_{2}}S{{O}_{4}}.A{{l}_{x}}{{(S{{O}_{4}})}_{3}}.24{{H}_{2}}O\]?
A)
4
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B)
1
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C)
2
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D)
None of these
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question_answer 53) Ozone is useful in the purification of water because
A)
it releases oxygen on dissociation
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B)
it does not give unpleasant smell like chlorine
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C)
it acts as bactericide and destroys the bacteria, fungi etc
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D)
All of the above
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question_answer 54) Internal energy is the sum of
A)
kinetic energy and potential energy
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B)
all types of energy of system
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C)
energies of internal system
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D)
None of the above
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question_answer 55) Which of the following is a combustion reaction?
A)
\[C+{{O}_{2}}\xrightarrow[{}]{{}}C{{O}_{2}}\]
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B)
\[C{{H}_{4}}+{{O}_{2}}\xrightarrow[{}]{{}}C{{O}_{2}}+{{H}_{2}}O\]
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C)
\[Mg+{{O}_{2}}\xrightarrow[{}]{{}}MgO\]
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D)
All of the above
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question_answer 56) \[{{C}_{6}}{{H}_{5}}^{14}COOH\]is heated with\[N{{a}_{2}}C{{O}_{3}}\]to release
A)
\[C{{O}_{2}}\]
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B)
\[^{14}C{{O}_{2}}\]
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C)
CO
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D)
None of these
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question_answer 57) The mass of two molecules A and B are 100 kg and 64 kg respectively. If the diffusion rate of A is\[12\times {{10}^{-3}}\]then, the diffusion rate of B will be
A)
\[15\times {{10}^{-3}}\]
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B)
\[64\times {{10}^{-3}}\]
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C)
\[5\times {{10}^{-3}}\]
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D)
\[46\times {{10}^{-3}}\]
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question_answer 58) Commercially ethyl bromide is manufactured by
A)
ethyl alcohol \[+HBr\]
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B)
ethanol\[+B{{r}_{2}}\]
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C)
alcohol \[+HBr\]
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D)
None of the above
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question_answer 59) In the presence of\[Fe/HCl,\]aniline obtains from which of the following?
A)
Benzene
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B)
Nitrobenzene
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C)
Dinitrobenzene
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D)
None of these
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question_answer 60) Which of the following is a strong base?
A)
Benzamide
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B)
Butanamine
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C)
Nitrobenzene
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D)
Benzene
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question_answer 61) On comparison of S and\[S\]the\[{{S}^{2-}}\]has
A)
large radius and large size
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B)
small radius and large size
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C)
large radius and small size
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D)
small radius and small size
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question_answer 62) Which of the following is not correct?
A)
\[{{t}_{1/2}}=\frac{0.693}{k}\]
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B)
\[N={{N}_{0}}{{e}^{-kt}}\]
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C)
\[\frac{1}{N}-\frac{1}{{{N}_{0}}}=In\,k{{t}_{1/2}}\]
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D)
None of these
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question_answer 63) Which of the following is the second most electronegative element?
A)
Oxygen
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B)
Nitrogen
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C)
Fluorine
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D)
Sulphur
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question_answer 64) Which of the following is not correct according to Aufbau's rule?
A)
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B)
done
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C)
done
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D)
done
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question_answer 65) Which of the following has the lowest ionization potential?
A)
Oxygen
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B)
Nitrogen
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C)
Fluorine
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D)
Sulphur
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question_answer 66) On homolytic fission,\[C{{H}_{3}}C{{H}_{2}}Cl\]gives
A)
\[C{{H}_{3}}\overset{\bullet }{\mathop{C}}\,{{H}_{2}}\]and\[C\overset{\bullet }{\mathop{l}}\,\]
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B)
\[C{{H}_{3}}\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\]and\[C{{l}^{-}}\]
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C)
\[C{{H}_{3}}\overset{+}{\mathop{C}}\,{{H}_{2}}\]and\[C\overset{\bullet }{\mathop{I}}\,\]
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D)
\[C{{H}_{3}}\overset{\bullet }{\mathop{C}}\,{{H}_{2}}\]
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question_answer 67) If the diffusion rate of\[N{{H}_{3}}\]is double of X, then the molecular weight of X will be
A)
68
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B)
48
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C)
12
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D)
8
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question_answer 68) The bond order of\[C-C\]bond of benzene.
A)
1
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B)
2
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C)
between 1 and 2
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D)
None of these
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question_answer 69) The decreasing order of bond length of following , Ethane Ethene Ethyne
A)
\[A>B>C\]
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B)
\[B>A>C\]
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C)
\[C>B>A\]
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D)
\[C>A>B\]
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question_answer 70) What is the range of the size of colloidal particle?
A)
1 to 100 nm
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B)
1 to 1000 cm
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C)
1 to 1000 mm
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D)
1 to 100 km
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question_answer 71) \[Z{{n}^{2+}}\xrightarrow[{}]{{}}Zn(s)\] \[E{}^\circ =-0.76V\] \[C{{u}^{2+}}\xrightarrow[{}]{{}}Cu(s)\] \[E{}^\circ =-0.34V\] Which of the following is the spontaneous reaction?
A)
\[Z{{n}^{2+}}+Cu\xrightarrow[{}]{{}}Zn+C{{u}^{2+}}\]
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B)
\[C{{u}^{2+}}+Zn\xrightarrow[{}]{{}}Cu+Z{{n}^{2+}}\]
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C)
\[Z{{n}^{2+}}+C{{u}^{2+}}\xrightarrow[{}]{{}}Zn+Cu\]
done
clear
D)
None of the above
done
clear
View Answer play_arrow
question_answer 72) Which of the following element has the maximum electron affinity?
A)
Fluorine
done
clear
B)
Chlorine
done
clear
C)
Sulphur
done
clear
D)
Xenon
done
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View Answer play_arrow
question_answer 73) Which is the most reactive inert gas?
A)
\[He\]
done
clear
B)
\[Ne\]
done
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C)
\[Ar\]
done
clear
D)
\[Xe\]
done
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View Answer play_arrow
question_answer 74) Which type of bond presents in\[Xe\]molecule?
A)
Covalent
done
clear
B)
lon-dipole
done
clear
C)
van der Waals
done
clear
D)
Dipole-dipole
done
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View Answer play_arrow
question_answer 75) Which of the following is irreversible reaction?
A)
\[2N{{H}_{3}}\xrightarrow[{}]{{}}{{N}_{2}}+3{{H}_{2}}\]
done
clear
B)
\[PC{{l}_{5}}\xrightarrow[{}]{{}}PC{{l}_{3}}+C{{l}_{2}}\]
done
clear
C)
\[KCl{{O}_{3}}\xrightarrow[{}]{{}}KCl+{{O}_{2}}\]
done
clear
D)
\[2S{{O}_{3}}\xrightarrow[{}]{{}}2S{{O}_{2}}+{{O}_{2}}\]
done
clear
View Answer play_arrow
question_answer 76) Heavy water is
A)
\[{{H}_{2}}O\]
done
clear
B)
\[{{D}_{2}}O\]
done
clear
C)
\[{{H}_{2}}{{O}_{2}}\]
done
clear
D)
None of these
done
clear
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question_answer 77) \[{{H}_{2}}S\]is not a
A)
reducing agent
done
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B)
acidic
done
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C)
oxidising agent
done
clear
D)
None of these
done
clear
View Answer play_arrow
question_answer 78) At constant temperature, the curve between p and V is
A)
straight line
done
clear
B)
increasing curve
done
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C)
straight line with slope
done
clear
D)
None of the above
done
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View Answer play_arrow
question_answer 79) At constant temperature, on doubling the p and V, the reversible constant will become
A)
constant
done
clear
B)
double
done
clear
C)
quarter
done
clear
D)
None of these
done
clear
View Answer play_arrow
question_answer 80) The electronic configuration of\[M{{n}^{2+}}\]is
A)
\[[Ne]3{{d}^{5}},4{{s}^{0}}\]
done
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B)
\[[Ar]3{{d}^{5}},4{{s}^{2}}\]
done
clear
C)
\[[Ar]3{{d}^{5}},4{{s}^{0}}\]
done
clear
D)
\[[Ne]3{{d}^{5}},4{{s}^{2}}\]
done
clear
View Answer play_arrow
question_answer 81) Generally the +3 oxidation state is
A)
Ni (28)
done
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B)
Fe (26)
done
clear
C)
Zn (30)
done
clear
D)
Cu (29)
done
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question_answer 82) The structure of 1, 2-dihydroxy butane is
A)
\[C(OH)-C(OH)-C-C\]
done
clear
B)
\[C-C{{(OH)}_{2}}-C-C\]
done
clear
C)
\[(OH)C-C-C-C(OH)\]
done
clear
D)
\[C-C(OH)-C(OH)-C\]
done
clear
View Answer play_arrow
question_answer 83) The atomic size increases on moving downward because
A)
the number of electrons increases
done
clear
B)
the number of protons and neutrons increases
done
clear
C)
the number of protons increases
done
clear
D)
the number of protons, neutrons and electrons increases
done
clear
View Answer play_arrow
question_answer 84) The ionization energy decreases on moving downward because
A)
charge increases
done
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B)
atomic size increases
done
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C)
atomic size decreases
done
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D)
screening effect decreases
done
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question_answer 85) Which of the following is tribasic acid?
A)
\[{{H}_{3}}P{{O}_{2}}\]
done
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B)
\[{{H}_{3}}P{{O}_{4}}\]
done
clear
C)
\[{{H}_{4}}{{P}_{2}}{{O}_{7}}\]
done
clear
D)
\[{{H}_{3}}P{{O}_{3}}\]
done
clear
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question_answer 86) Which has the maximum dipole moment?
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
question_answer 87) In electrolytic cell, the cathode acts as
A)
oxidising agent
done
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B)
reducing agent
done
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C)
Either [a] or [b]
done
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D)
Neither [a] nor [b]
done
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View Answer play_arrow
question_answer 88) The order of reaction may be
A)
zero
done
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B)
fraction
done
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C)
whole number
done
clear
D)
zero, fraction, whole number
done
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View Answer play_arrow
question_answer 89) Which has the maximum relative ionization power?
A)
\[\alpha -\]rays
done
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B)
\[\beta -\]rays
done
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C)
\[\gamma -\]rays
done
clear
D)
\[X-\]rays
done
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View Answer play_arrow
question_answer 90) Which of the following is a vitamin?
A)
Benzoic acid
done
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B)
Ascorbic acid
done
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C)
Oxalic acid
done
clear
D)
Formic acid
done
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View Answer play_arrow
question_answer 91) Which isomerism is shown by following compounds? \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH\]and\[C{{H}_{3}}C{{H}_{2}}OC{{H}_{3}}\]
A)
Position isomerism
done
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B)
Functional isomerism
done
clear
C)
Structural isomerism
done
clear
D)
Chain isomerism
done
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View Answer play_arrow
question_answer 92) White lead is
A)
\[P{{b}_{3}}{{O}_{4}}\]
done
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B)
\[PbO\]
done
clear
C)
\[2PbC{{O}_{3}}.Pb{{(OH)}_{2}}\]
done
clear
D)
\[Pb{{(C{{H}_{3}}COO)}_{2}}.Pb{{(OH)}_{2}}\]
done
clear
View Answer play_arrow
question_answer 93) The blister copper is
A)
impure copper
done
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B)
alloy of copper
done
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C)
pure copper
done
clear
D)
copper with 1% impurity
done
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View Answer play_arrow
question_answer 94) Claisen condensation is not given by
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
question_answer 95) \[AgN{{O}_{3}}\]does not give precipitate with\[CHC{{l}_{3}}\] because
A)
\[CHC{{l}_{3}}\]does not dissociate in water
done
clear
B)
Chemically\[AgN{{O}_{3}}\]is unreactive
done
clear
C)
Chemically\[CH{{l}_{3}}\]is unreactive
done
clear
D)
None of the above
done
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View Answer play_arrow
question_answer 96) In\[_{90}T{{h}^{228}}{{\xrightarrow[{}]{{}}}_{83}}B{{i}^{212}},\]the emitted\[\alpha \]and\[\beta \] particles are
A)
\[4\alpha ,1\beta \]
done
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B)
\[4\alpha ,2\beta \]
done
clear
C)
\[5\alpha ,1\beta \]
done
clear
D)
\[5\alpha ,2\beta \]
done
clear
View Answer play_arrow
question_answer 97) Which of the following is obtained on the hydrolysis of\[PC{{l}_{3}}\]?
A)
\[{{H}_{3}}P{{O}_{3}}\]
done
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B)
\[P{{H}_{3}}\]
done
clear
C)
\[{{H}_{3}}P{{O}_{4}}\]
done
clear
D)
\[POC{{l}_{3}}\]
done
clear
View Answer play_arrow
question_answer 98) Which bond is presents in protein and peptides?
A)
\[-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-NH-\]
done
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B)
\[-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-O-\]
done
clear
C)
\[-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-O-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-\]
done
clear
D)
\[-NH-\]
done
clear
View Answer play_arrow
question_answer 99) Blood cells do not shrink in blood, because blood is
A)
hypotonic
done
clear
B)
isotonic
done
clear
C)
isomolecular
done
clear
D)
hypertonic
done
clear
View Answer play_arrow
question_answer 100) On isothermal expansion of ideal gas, its
A)
internal energy increases
done
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B)
enthalpy increases
done
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C)
enthalpy becomes zero on decreasing
done
clear
D)
enthalpy remains unchanged
done
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question_answer 101) Let the coordinates of P are (1,0) and point Q lies on the curve\[{{y}^{2}}=8x\]. The locus of the midpoint of PQ is
A)
\[{{y}^{2}}-4x+2=0\]
done
clear
B)
\[{{y}^{2}}+4x+2=0\]
done
clear
C)
\[{{x}^{2}}+4y+2=0\]
done
clear
D)
\[{{x}^{2}}-4y+2=0\]
done
clear
View Answer play_arrow
question_answer 102) If\[{{A}^{2}}-A+I=O,\]then inverse of A is
A)
\[A+I\]
done
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B)
A
done
clear
C)
\[A-I\]
done
clear
D)
\[I-A\]
done
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View Answer play_arrow
question_answer 103) If\[1,\omega \]and\[{{\omega }^{2}}\]are the cube roots of unity, then the roots of the equation\[{{(x-1)}^{3}}+8=0\]are
A)
\[-1,-1+2\omega ,-1-2{{\omega }^{2}}\]
done
clear
B)
\[-1,-1,-1\]
done
clear
C)
\[-1,1-2\omega ,1-2{{\omega }^{2}}\]
done
clear
D)
\[-1,1+2\omega ,1+2{{\omega }^{2}}\]
done
clear
View Answer play_arrow
question_answer 104) The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{1}{{{n}^{2}}}{{\sec }^{2}}\frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}{{\sec }^{2}}\frac{4}{{{n}^{2}}}+...+\frac{1}{n}{{\sec }^{2}}1 \right]\]is
A)
\[\frac{1}{2}\sec 1\]
done
clear
B)
\[\frac{1}{2}co\sec 1\]
done
clear
C)
\[\tan 1\]
done
clear
D)
\[\frac{1}{2}\tan 1\]
done
clear
View Answer play_arrow
question_answer 105) Area of the greatest rectangle that can be inscribed in the ellipse\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\]is
A)
\[2ab\]
done
clear
B)
\[ab\]
done
clear
C)
\[\sqrt{ab}\]
done
clear
D)
\[\frac{a}{b}\]
done
clear
View Answer play_arrow
question_answer 106) The order and degree of the differential equation of the family of curve \[{{y}^{2}}=2c(x+\sqrt{c}),\]where c is a arbitrary constant, is
A)
order 1, degree 2
done
clear
B)
order 1, degree 1
done
clear
C)
order 1, degree 3
done
clear
D)
order 2, degree 2
done
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View Answer play_arrow
question_answer 107) If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the rank of SACHIN is
A)
601
done
clear
B)
600
done
clear
C)
603
done
clear
D)
602
done
clear
View Answer play_arrow
question_answer 108) The value of\[^{50}{{C}_{4}}+\sum\limits_{r=1}^{6}{^{56-r}{{C}_{3}}}\]is
A)
\[^{55}{{C}_{4}}\]
done
clear
B)
\[^{55}{{C}_{3}}\]
done
clear
C)
\[^{56}{{C}_{3}}\]
done
clear
D)
\[^{56}{{C}_{4}}\]
done
clear
View Answer play_arrow
question_answer 109) If the coefficient of\[{{x}^{4}}\]in the expansion of \[{{\left[ a{{x}^{2}}+\left( \frac{1}{bx} \right) \right]}^{11}},\]is equal to the coefficient of \[{{x}^{-7}}\]in the expansion of\[{{\left[ ax-\left( \frac{1}{b{{x}^{2}}} \right) \right]}^{11}},\]then the relation between a and b is
A)
\[a-b=1\]
done
clear
B)
\[a+b=1\]
done
clear
C)
\[\frac{a}{b}=1\]
done
clear
D)
\[ab=1\]
done
clear
View Answer play_arrow
question_answer 110) Let\[f:(-1,1)\to B\]is defined as \[f(x)={{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}.\]Function\[f\]is one-one and onto, then the interval B is
A)
\[\left( 0,\frac{\pi }{2} \right)\]
done
clear
B)
\[\left[ 0,\frac{\pi }{2} \right)\]
done
clear
C)
\[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]\]
done
clear
D)
\[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]
done
clear
View Answer play_arrow
question_answer 111) lf\[w=\frac{z}{z-\frac{i}{3}}\]and\[|w|=1,\] then z lies on
A)
a ellipse
done
clear
B)
a circle
done
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C)
a straight line
done
clear
D)
a parabola
done
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View Answer play_arrow
question_answer 112) If\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=-2\]and \[f(x)=\left| \begin{matrix} 1+{{a}^{2}}x & (1+{{b}^{2}})x & (1+{{c}^{2}})x \\ (1+{{a}^{2}})x & 1+{{b}^{2}}x & (1+{{c}^{2}})x \\ (1+{{a}^{2}})x & (1+{{b}^{2}})x & 1+{{c}^{2}}x \\ \end{matrix} \right|,\] then\[f(x)\]is a polynomial of power
A)
1
done
clear
B)
0
done
clear
C)
3
done
clear
D)
2
done
clear
View Answer play_arrow
question_answer 113) Let\[f(x)\]is differentiable at\[x=1\]and \[\underset{h\to 0}{\mathop{\lim }}\,\frac{1}{h}(1+h)=5,\]then the value of\[f'(1)\]is
A)
3
done
clear
B)
4
done
clear
C)
5
done
clear
D)
6
done
clear
View Answer play_arrow
question_answer 114) The value of\[\underset{x\to 0}{\mathop{\lim }}\,\left( \frac{\int_{0}^{{{x}^{2}}}{{{\sec }^{2}}t\,dt}}{x\sin x} \right)\]is
A)
3
done
clear
B)
2
done
clear
C)
1
done
clear
D)
0
done
clear
View Answer play_arrow
question_answer 115) In a triangle, let\[\angle C=\pi /2\]. If r is the radius of incircle and R is the radius of circumcircle, then value of\[2(r+R)\]is
A)
\[b+c\]
done
clear
B)
\[a+b\]
done
clear
C)
\[a+b+c\]
done
clear
D)
\[c+a\]
done
clear
View Answer play_arrow
question_answer 116) If\[{{\cos }^{-1}}x-{{\cos }^{-1}}\frac{y}{2}=\alpha ,\]then the value of \[4{{x}^{2}}-4xy\,cos\alpha +{{y}^{2}}\]is
A)
\[2\text{ }si{{n}^{2}}\alpha \]
done
clear
B)
4
done
clear
C)
\[\text{4 }si{{n}^{2}}\alpha \]
done
clear
D)
\[\text{-4 }si{{n}^{2}}\alpha \]
done
clear
View Answer play_arrow
question_answer 117) If\[\alpha \]and\[\beta \]are two unequal roots of the equation\[a{{x}^{2}}+bx+c=0,\] then the value of\[\underset{x\to \alpha }{\mathop{\lim }}\,\frac{1-\cos (a{{x}^{2}}+bx+c)}{{{(x-\alpha )}^{2}}}\]is
A)
\[\frac{{{a}^{2}}}{2}{{(\alpha -\beta )}^{2}}\]
done
clear
B)
\[0\]
done
clear
C)
\[\frac{-{{a}^{2}}}{2}{{(\alpha -\beta )}^{2}}\]
done
clear
D)
\[\frac{1}{2}{{(\alpha -\beta )}^{2}}\]
done
clear
View Answer play_arrow
question_answer 118) If\[x\frac{dy}{dx}y=y(log\text{ }y-log\text{ }x+1),\]then, the solution of the equation is
A)
\[y\log \left( \frac{x}{y} \right)=cx\]
done
clear
B)
\[x\log \left( \frac{y}{x} \right)=cy\]
done
clear
C)
\[\log \left( \frac{y}{x} \right)=cx\]
done
clear
D)
\[\log \left( \frac{x}{y} \right)=cy\]
done
clear
View Answer play_arrow
question_answer 119) The value of\[{{\int{\left\{ \frac{(\log x-1)}{1+{{(\log x)}^{2}}} \right\}}}^{2}}dx\]is
A)
\[\frac{\log x}{{{(\log x)}^{2}}+1}+c\]
done
clear
B)
\[\frac{x}{{{x}^{2}}+1}+c\]
done
clear
C)
\[\frac{x{{e}^{x}}}{1+{{x}^{2}}}+c\]
done
clear
D)
\[\frac{x}{{{(\log x)}^{2}}+1}+c\]
done
clear
View Answer play_arrow
question_answer 120) Let\[f:R\to R\]is a differentiable function\[f(2)=6,f'(x)=\frac{1}{48},\]then\[\underset{x\to 2}{\mathop{\lim }}\,\int_{6}^{f(x)}{\frac{4{{t}^{3}}}{x-2}}dt\]is equal to
A)
24
done
clear
B)
36
done
clear
C)
12
done
clear
D)
18
done
clear
View Answer play_arrow
question_answer 121) Let a non-negative continuous function\[f(x)\]is such that the area of the region bounded by the curve\[y=f(x),\]\[x-\]axis and the lines\[x=\frac{\pi }{4}\]ands\[x=\beta >\frac{\pi }{4}\]is\[\left( \beta \sin \beta +\frac{\pi }{4}\cos \beta +\sqrt{2}\beta \right),\]then the value of \[f\left( \frac{\pi }{2} \right)\]is
A)
\[\left( \frac{\pi }{4}+\sqrt{2}-1 \right)\]
done
clear
B)
\[\left( \frac{\pi }{4}-\sqrt{2}+1 \right)\]
done
clear
C)
\[\left( 1-\frac{\pi }{4}-\sqrt{2} \right)\]
done
clear
D)
\[\left( 1-\frac{\pi }{4}+\sqrt{2} \right)\]
done
clear
View Answer play_arrow
question_answer 122) The area of the region bounded by the curve \[y=lo{{g}_{e}}(x+e)\]and axes is
A)
1
done
clear
B)
2
done
clear
C)
3
done
clear
D)
4
done
clear
View Answer play_arrow
question_answer 123) The parabolas\[{{y}^{2}}=4x\]and\[{{x}^{2}}=4y\]divide the square region bounded by the lines\[x=4,\text{ }y=4\]and the coordinates axes. If \[{{S}_{1}},{{S}_{2}},{{S}_{3}}\]are respectively the areas of these parts numbered from top to bottom, then \[{{S}_{1}}:{{S}_{2}}:{{S}_{3}}\]is
A)
1 : 2 : 1
done
clear
B)
1 : 2 : 3
done
clear
C)
2 : 1 : 2
done
clear
D)
1 : 1 : 1
done
clear
View Answer play_arrow
question_answer 124) If the plane\[2ax-3at+4az+6=0\]passes through the midpoint of the line joining the centres of the spheres \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+6x-8y-2z=13\] and\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-10x+4y-2z=8,\]then a equals
A)
\[-1\]
done
clear
B)
1
done
clear
C)
\[-2\]
done
clear
D)
2
done
clear
View Answer play_arrow
question_answer 125) The distance between the line\[\overrightarrow{a}=2\hat{i}-2\hat{j}+3\hat{k}\] \[\lambda (\hat{i}+5\hat{j}+\hat{k})=5\]and the plane\[\overrightarrow{r}.(\hat{i}+5\hat{j}+\hat{k})=5\]is
A)
\[\frac{10}{9}\]
done
clear
B)
\[\frac{10}{3\sqrt{3}}\]
done
clear
C)
\[\frac{3}{10}\]
done
clear
D)
\[\frac{10}{3}\]
done
clear
View Answer play_arrow
question_answer 126) For any vector\[\overrightarrow{a}\]the value of\[{{(\overrightarrow{a}\times i)}^{2}}+{{(\overrightarrow{a}\times \hat{j})}^{2}}+{{(\overrightarrow{a}\times \hat{k})}^{2}}\]is equal to
A)
\[3{{\overrightarrow{a}}^{2}}\]
done
clear
B)
\[{{\overrightarrow{a}}^{2}}\]
done
clear
C)
\[2{{\overrightarrow{a}}^{2}}\]
done
clear
D)
\[4{{\overrightarrow{a}}^{2}}\]
done
clear
View Answer play_arrow
question_answer 127) If non-zero numbers a, b, c are in HP, then line \[\frac{x}{a}+\frac{y}{b}+\frac{1}{c}=0\]always passes through a fixed point. That point is
A)
\[(-1,2)\]
done
clear
B)
\[(-1,-2)\]
done
clear
C)
\[(1,-2)\]
done
clear
D)
\[\left( 1,-\frac{1}{2} \right)\]
done
clear
View Answer play_arrow
question_answer 128) If the circles \[{{x}^{2}}+{{y}^{2}}+2ax+cy+a=0\]and \[{{x}^{2}}+{{y}^{2}}-3ax+dy-1=0\]intersects at two different points P and Q, then the line \[5x+by-a=0\]passes through the points P and Q for
A)
only one value of a
done
clear
B)
no value of a
done
clear
C)
infinite values of a
done
clear
D)
only two values of a
done
clear
View Answer play_arrow
question_answer 129) In an ellipse OB is a semi-minor axis, F and F' are its focus and angle FBF' is right angle. Then, eccentricity of the ellipse is
A)
\[\frac{1}{\sqrt{2}}\]
done
clear
B)
\[\frac{1}{2}\]
done
clear
C)
\[\frac{1}{4}\]
done
clear
D)
\[\frac{1}{\sqrt{3}}\]
done
clear
View Answer play_arrow
question_answer 130) If\[y=ax+p\]is a tangent to the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1,\]then the locus of the point \[P(\alpha ,\beta )\]or is
A)
an ellipse
done
clear
B)
a circle
done
clear
C)
a parabola
done
clear
D)
a hyperbola
done
clear
View Answer play_arrow
question_answer 131) If the angle between the line \[\frac{x+1}{1}=\frac{y-1}{2}=\frac{z-2}{2}\]and the plane\[2x-y+\sqrt{\lambda z}+4=0\]is\[\theta \]such that\[\sin \theta =\frac{1}{3},\]then the value of\[\lambda \]is,
A)
\[\frac{5}{3}\]
done
clear
B)
\[-\frac{3}{5}\]
done
clear
C)
\[\frac{3}{4}\]
done
clear
D)
\[-\frac{4}{3}\]
done
clear
View Answer play_arrow
question_answer 132) Let A and B be two events such that\[P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}\]an\[P(\overline{A})=\frac{1}{4},\]where A stands for complement of event A. Then, events A and B are
A)
mutually exclusive and independent
done
clear
B)
independent but not equally likely
done
clear
C)
equally likely but not independent
done
clear
D)
equally likely and mutually exclusive
done
clear
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question_answer 133) Three houses are available in a locality. Three persons apply for the houses. Each applie for one house without consulting others. The probability that all three apply for the same house, is
A)
\[\frac{2}{9}\]
done
clear
B)
\[\frac{1}{9}\]
done
clear
C)
\[\frac{8}{9}\]
done
clear
D)
\[\frac{7}{9}\]
done
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question_answer 134) If\[\overrightarrow{a}=\hat{i}-\hat{k},\overrightarrow{b}=x\hat{i}+\hat{j}+(1-x)\hat{k}\]and\[\overrightarrow{c}=y\hat{i}+x\hat{j}+(1+x-y)\hat{k},\]then\[[\overrightarrow{a}\text{ }\overrightarrow{b}\text{ }\overrightarrow{c}]\]depends on
A)
only y
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B)
only\[x\]
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C)
both\[x\]and y
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D)
neither\[x\] nor y
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question_answer 135) Let a, b and c are different non-negative numbers. If vectors\[a\hat{i}+a\hat{j}+c\hat{k},\text{ }\hat{i}+\hat{k}\] and \[c\hat{i}+c\hat{j}+b\hat{k}\]lies in the same plane, then the value of c is
A)
geometric mean of a and b
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B)
arithmetic mean of a and b
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C)
zero
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D)
harmonic mean of a and b
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question_answer 136) If\[\vec{a},\text{ }\overrightarrow{b}\]and\[\overrightarrow{c}\]are non-coplanar vectors and\[\lambda \]is a real number, then \[[\lambda (\overrightarrow{a}+\overrightarrow{b}){{\lambda }^{2}}\overrightarrow{b}\,\lambda \,\overrightarrow{c}]=[\overrightarrow{a}\overrightarrow{b}+\overrightarrow{c}\overrightarrow{b}]\]for
A)
only one value of \[\lambda \]
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B)
no value of \[\lambda \]
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C)
only three values of\[\lambda \]
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D)
only two values of\[\lambda \]
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question_answer 137) The value of\[\int_{-\pi }^{\pi }{\frac{{{\cos }^{2}}x}{1+{{a}^{x}}}}dx,a>0\]is
A)
\[a\pi \]
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B)
\[\frac{\pi }{2}\]
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C)
\[\frac{\pi }{a}\]
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D)
\[2\pi \]
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question_answer 138) The radius of the circle in which the sphere\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-x+z-2=0\]cuts by the plane \[x+2y-z=4,\]is
A)
3
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B)
1
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C)
2
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D)
\[\sqrt{2}\]
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question_answer 139) The value of\[\tan \left\{ {{\cos }^{-1}}\left( -\frac{2}{7} \right)-\frac{\pi }{2} \right\}\]is
A)
\[\frac{2}{3\sqrt{5}}\]
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B)
\[\frac{2}{3}\]
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C)
\[\frac{1}{\sqrt{5}}\]
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D)
\[\frac{4}{\sqrt{5}}\]
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question_answer 140) If\[{{\tan }^{-1}}(x-1)+{{\tan }^{-1}}x+{{\tan }^{-1}}(x+1)\] \[={{\tan }^{-1}}3x,\]then the value of\[x\]is
A)
\[\pm \frac{1}{2}\]
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B)
\[0,\frac{1}{2}\]
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C)
\[0,-\frac{1}{2}\]
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D)
\[0,\pm \frac{1}{2}\]
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question_answer 141) The sum of the sequence\[1+\frac{1}{4.2!}+\frac{1}{16.4!}+\frac{1}{64.6!}+......\infty \]is
A)
\[\frac{e-1}{\sqrt{e}}\]
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B)
\[\frac{e+1}{\sqrt{e}}\]
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C)
\[\frac{e-1}{2\sqrt{e}}\]
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D)
\[\frac{e+1}{2\sqrt{e}}\]
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question_answer 142) If\[{{x}_{0}}=1\]is to find the real roots of the equation \[{{x}^{2}}-x=2\]by Newton-Raphson's method then the value of\[{{x}_{2}}\]is
A)
9/15
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B)
3
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C)
11/5
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D)
19/5
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question_answer 143) Let\[R=\{(1,\text{ }3),\text{(}4,\text{ }2),(2,\text{ }4),(2,\text{ }3),(3,\text{ }1)\}\]is a relation on the set\[A=\{1,2,3,4\}\]. Then, relation R is
A)
a function
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B)
transitive
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C)
not symmetric
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D)
reflexive
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question_answer 144) Let z and w are two complex numbers such that\[\overline{z}+i\overline{w}=0\]and arg\[zw=\pi ,\]then arg z is equal to
A)
\[\pi /4\]
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B)
\[\pi /2\]
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C)
\[3\pi /4\]
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D)
\[5\pi /4\]
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question_answer 145) If\[z=x-iy\]and\[{{z}^{1/3}}=p+iq,\]then\[{\left( \frac{x}{p}+\frac{y}{q} \right)}/{({{p}^{2}}+{{q}^{2}})}\;\]equal to
A)
1
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B)
\[-1\]
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C)
2
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D)
\[-2\]
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question_answer 146) If \[|{{z}^{2}}-1|=|{{z}^{2}}|+1,\].then z
A)
lies on real axis
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B)
lies on imaginary axis
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C)
lies on a circle
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D)
lies on an ellipse
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question_answer 147) Let\[A=\left[ \begin{matrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \\ \end{matrix} \right]\]and\[(10)B=\left[ \begin{matrix} 4 & 2 & 2 \\ -5 & 0 & \alpha \\ 1 & -2 & 3 \\ \end{matrix} \right]\] If B is the inverse of matrix A, then the value of \[\alpha \]is
A)
\[-2\]
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B)
\[-1\]
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C)
2
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D)
5
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question_answer 148) If \[{{a}_{1}},{{a}_{2}},{{a}_{3}},.....,{{a}_{n}}\]are in GP, then the value of \[\left| \begin{matrix} \log {{a}_{n}} & \log {{a}_{n+1}} & \log {{a}_{n+2}} \\ \log {{a}_{n+3}} & \log {{a}_{n+4}} & \log {{a}_{n+5}} \\ \log {{a}_{n+6}} & \log {{a}_{n+7}} & \log {{a}_{n+8}} \\ \end{matrix} \right|\]is
A)
0
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B)
1
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C)
2
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D)
\[-2\]
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question_answer 149) Let the arithmetic mean and geometric mean of two numbers are 9 and 4 respectively. Then, these numbers are the roots of following equation
A)
\[{{x}^{2}}+18x+16=0\]
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B)
\[{{x}^{2}}-18x+16=0\]
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C)
\[{{x}^{2}}+18x-16=0\]
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D)
\[{{x}^{2}}-18x-16=0\]
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question_answer 150) If\[(1-p)\]is one root of the equation \[{{x}^{2}}+px+(1-p)=0,\]then its roots are
A)
\[0,\text{ }1\]
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B)
\[-1,\text{ }1\]
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C)
\[0,-1\]
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D)
\[-1,\text{ }2\]
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