Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2008

BCECE Engineering Solved Paper-2008 Total Questions - 150

1) If E = energy, G = gravitational constant, \[I=\]impulse and \[M=\]mass, then dimensions of \[\frac{GI{{M}^{2}}}{{{E}^{2}}}\]are same as that of

A)

time

B)

mass

C)

length

D)

       force

View Answer
2) A point initially at rest moves along \[x-\]axis. Its acceleration varies with time as \[a=(6t+5)m/{{s}^{2}}.\]If it starts from origin, the distance covered in 2 s is

A)

20 m

B)

       18 m

C)

16 m

D)

       25 m

View Answer
3) Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \[F=10N,\]then tension \[{{T}_{1}}=\]

A)

1 N

B)

       5 N

C)

8 N

D)

       10 N

View Answer
4) A solid sphere rolls down two different inclined planes of same height, but of different inclinations. In both cases

A)

speed and time of descent will be same

B)

speed will be same, but time of descent will be different

C)

speed will be different, but time of descent will be same

D)

speed and time of descent both are different

View Answer
5) The angular amplitude of a simple pendulum is \[{{\theta }_{0}}.\]The maximum tension in its string will be

A)

\[mg(1-{{\theta }_{0}})\]

B)

       \[mg(1+{{\theta }_{0}})\]

C)

       \[mg(1-\theta _{0}^{2})\]

D)

       \[mg(1+\theta _{0}^{2})\]

View Answer
6) An engine pumps up 100 kg of water through a height of 10 m in 5s. Given that the efficiency of engine is 60%. If \[g=10\,m{{s}^{-2}},\] the power of the engine is

A)

3.3 kW

B)

       0.33 kW

C)

       0.033 kW

D)

       33 kW

View Answer
7) At what speed, the velocity head of water is equal to pressure head of 40 cm of Hg?

A)

10.3 m/s

B)

       2.8 m/s

C)

5.6 m/s

D)

       8.4 m/s

View Answer
8) If the electric flux entering and leaving an enclosed surface respectively are \[{{\phi }_{1}}\] and \[{{\phi }_{2}}\] the electric charge inside the surface will be

A)

\[\frac{{{\phi }_{2}}-{{\phi }_{1}}}{{{\varepsilon }_{0}}}\]

B)

       \[\frac{{{\phi }_{1}}+{{\phi }_{2}}}{{{\varepsilon }_{0}}}\]

C)

\[\frac{{{\phi }_{1}}-{{\phi }_{2}}}{{{\varepsilon }_{0}}}\]

D)

       \[{{\varepsilon }_{0}}\,({{\phi }_{1}}+{{\phi }_{2}})\]

View Answer
9) In the propagation of light waves, the angle between the direction of vibration and plane of polarization is

A)

\[{{0}^{o}}\]

B)

       \[{{90}^{o}}\]

C)

\[{{45}^{o}}\]

D)

       \[{{80}^{o}}\]

View Answer
10) A light emitting diode (LED) has a voltage drop of 2 V across it and passes a current of 10 mA. When it operates with a 6 V battery through a limiting resistor R, the value of R is

A)

\[40\,k\Omega \]

B)

\[4\,k\Omega \]

C)

\[200\,\Omega \]

D)

       \[400\,\Omega \]

View Answer
11) The minimum potential difference between the base and emitter required to switch a silicon transistor ON is approximately

A)

1 V

B)

       3 V

C)

5 V

D)

       4.2 V

View Answer
12) Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is \[\pi /3\]and the maximum height reached by it is 102 m. Then the maximum height reached by the other in metre is

A)

336

B)

       224

C)

56

D)

       34

View Answer
13) Which one of the following is a possible nuclear reaction?

A)

\[_{5}^{10}B+_{2}^{4}He\xrightarrow{{}}_{7}^{13}N+_{1}^{1}H\]

B)

\[_{11}^{23}Na+_{1}^{1}H\xrightarrow{{}}_{10}^{20}Ne+_{2}^{4}He\]

C)

\[_{93}^{239}Np+\xrightarrow{{}}_{94}^{239}Pu+{{\beta }^{-}}+\bar{v}\]

D)

\[_{7}^{11}N+_{1}^{1}H\xrightarrow{{}}_{6}^{12}C+{{\beta }^{-}}+v\]

View Answer
14) Two circular discs A and B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?

A)

A and B have same specific heats

B)

Specific heat of A is less

C)

Specific heat of B is less

D)

Nothing can be said

View Answer
15) During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio \[{{C}_{p}}/{{C}_{v}}\]for the gas is

A)

4/3

B)

       2

C)

5/3

D)

       3/2

View Answer
16) The sum of two vectors \[\vec{A}\] and \[\vec{B}\] is at right angles to their difference. Then

A)

\[A=B\]

B)

\[A=2B\]

C)

\[B=2A\]

D)

\[\vec{A}\] and \[\vec{B}\] have the same direction

View Answer
17) A ball is thrown up at an angle with the horizontal. Then the total change of momentum by the instant it returns to ground is

A)

acceleration due to gravity \[\times \] total time of flight

B)

weight of the ball \[\times \] half the time of flight

C)

weight of the ball \[\times \]total time of flight

D)

weight of the ball \[\times \]horizontal range

View Answer
18) When a spring is stretched by a distance \[x,\]it exerts a force, given by \[F=(-5x-16{{x}^{3}})N\] The work done, when the spring is stretched from 0.1 m to 0.2 m is

A)

\[8.7\times {{10}^{-2}}J\]

B)

       \[12.2\times {{10}^{-2}}J\]

C)

\[8.7\times {{10}^{-1}}J\]

D)

       \[12.2\times {{10}^{-1}}J\]

View Answer
19) Time period of a simple pendulum of length\[l\] is \[{{T}_{1}}\]and time period of a uniform rod of the same length \[l\] pivoted about one end and oscillating in a vertical plane is \[{{T}_{2}}.\]Amplitude of oscillations in both the cases is small. Then\[{{T}_{1}}/{{T}_{2}}\]is

A)

\[\frac{1}{\sqrt{3}}\]

B)

       \[1\]

C)

\[\sqrt{\frac{4}{3}}\]

D)

       \[\sqrt{\frac{3}{2}}\]

View Answer
20) An insulator plate is passed between the plates of a capacitor. Then current

A)

first flows from A to Band then from B to A

B)

first flows from B to A and then from A to B

C)

always flows from B to A

D)

always flows from A to B

View Answer
21) Two parallel large thin metal sheets have equal surface charge densities \[(\sigma =26.4\times {{10}^{-12}}C/{{m}^{2}})\] of opposite signs. The electric field between these sheets is

A)

\[1.5\,N/C\]

B)

       \[1.5\times {{10}^{-10}}\,N/C\]

C)

\[3\,N/C\]

D)

       \[3\times {{10}^{-10}}\,N/C\]

View Answer
22) The electric current passes through a metallic wire produces heat because of

A)

collisions of conduction electrons with each other

B)

collisions of the atoms of the metal with each other

C)

the energy released in the ionization of the atoms of the metal

D)

collisions of the conduction electrons with the atoms of the metallic wire

View Answer
23) Two concentric circular coils of ten turns each are situated in the same plane. Their radii are 20 cm and 40 cm and they carry respectively 0.2 A and 0.3 A currents in opposite direction. The magnetic field in tesla at the centre is

A)

\[35\,{{\mu }_{0}}/4\]

B)

       \[\,{{\mu }_{0}}/80\]

C)

\[7\,{{\mu }_{0}}/80\]

D)

       \[5\,{{\mu }_{0}}/4\]

View Answer
24) Electromagnetic waves with frequencies greater than the critical frequency of ionosphere cannot be used for communication using sky wave propagation, because

A)

the refractive Index of the ionosphere becomes very high for \[f>{{f}_{c}}\]

B)

the refractive index of the ionosphere becomes very low for \[f>{{f}_{c}}\]

C)

the refractive index of the ionosphere becomes very high for \[f<{{f}_{c}}\]

D)

None of the above

View Answer
25) In a choke coil, the reactance \[{{X}_{L}}\]and resistance R are such that

A)

\[{{X}_{L}}=R\]

B)

       \[{{X}_{L}}>>R\]

C)

\[{{X}_{L}}<<R\]

D)

       \[{{X}_{L}}=\infty \]

View Answer
26) Reverberation time does not depend upon

A)

temperature

B)

volume of room

C)

size of window

D)

carpet and curtain

View Answer
27) 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

B)

Increase resistance in main circuit

C)

Decrease resistance in main circuit

D)

Decrease applied emf

View Answer
28) If average velocity becomes 4 times then what will be the effect on rms velocity at that temperature?

A)

1.4 times

B)

       4 times

C)

2 times

D)

       \[\frac{1}{4}\] times

View Answer
29) 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 1.007825u, 4.002603 u and 7.016004 u respectively

A)

17.35 MeV

B)

18.06 MeV

C)

177.35 MeV

D)

       170.35 MeV

View Answer
30) A Carots engine has an efficiency of 50% at sink temperature \[50{{\,}^{o}}C.\] Calculate the temperature of source.

A)

\[133{{\,}^{o}}C\]

B)

       \[143{{\,}^{o}}C\]

C)

\[100{{\,}^{o}}C\]

D)

       \[373{{\,}^{o}}C\]

View Answer
31) \[4{{m}^{3}}\]of water is to be pumped to a height of 20 m and forced into a reservoir at a pressure of \[2\times {{10}^{5}}N/{{m}^{2}}.\] The work done by the motor is (external pressure\[={{10}^{5}}\,N/{{m}^{2}}\])

A)

\[8\times {{10}^{5}}J\]

B)

       \[16\times {{10}^{5}}\,J\]

C)

\[12\times {{10}^{5}}\,J\]

D)

       \[32\times {{10}^{5}}\,J\]

View Answer
32) Moment of inertia of ring about its diameter is \[I.\] Then, moment of inertia about an axis passing through centre perpendicular to its plane is

A)

\[2I\]

B)

       \[\frac{I}{2}\]

C)

\[\frac{3}{2}I\]

D)

       \[I\]

View Answer
33) 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

B)

More frequency, more wavelength

C)

Less frequency, less wavelength

D)

More frequency, constant wavelength

View Answer
34) 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\[g=10\,m{{s}^{-2}}\])

A)

\[40\,m{{s}^{-1}}\]

B)

       \[20\,m{{s}^{-1}}\]

C)

\[15\,m{{s}^{-1}}\]

D)

       \[10\,m{{s}^{-1}}\]

View Answer
35) A bomb of mass 3.0 kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 80 m/s. The total energy-.imparted, to the two fragments is

A)

1.07 kJ

B)

       2.14 kJ

C)

2.4 kJ

D)

       4.8 kJ

View Answer
36) If distance between earth and sun become four times, then time period becomes

A)

4 times

B)

       8 times

C)

1/4 times

D)

       1/8 times

View Answer
37) An air bubble is contained inside water. It behaves as a

A)

concave lens

B)

convex lens

C)

Neither convex nor concave

D)

Cannot say

View Answer
38) 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

B)

       2

C)

1/4

D)

       4

View Answer
39) A 100 V, AC source of frequency 500 Hz is connected to an LCR circuit with\[L=8.1\,mH,\]\[C=12.5\mu F,R=10\,\Omega \]all connected in series as shown in figure. What is the quality factor of circuit?

A)

\[2.02\]

B)

\[2.5434\]

C)

\[20.54\]

D)

       \[200.54\]

View Answer
40) 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)

\[2\times {{10}^{4}}V\]

B)

\[1.2\times {{10}^{4}}V\]

C)

\[2\times {{10}^{-4}}V\]

D)

       None of these

View Answer
41) A proton is moving in a uniform magnetic field   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 charge on proton is e.

A)

\[\frac{Be}{{{a}^{2}}}\]

B)

\[e{{B}^{2}}a\]

C)

\[{{a}^{2}}eB\]

D)

       \[aeB\]

View Answer
42) We wish to see inside an atom. Assuming the atom to have a diameter of 100 pm, this means that one must be able to resolve a width of say 10 pm. If an electron microscope is used, the minimum electron energy required is about

A)

1.5 keV

B)

       15 keV

C)

       150 keV

D)

       1.5 MeV

View Answer
43) A body from height h is dropped. If the coefficient of restitution is e, then calculate the height achieved after one bounce.

A)

\[{{h}_{1}}={{e}^{2}}h\]

B)

       \[{{h}_{1}}={{e}^{4}}h\]

C)

\[{{h}_{1}}=eh\]

D)

       \[{{h}_{1}}=\frac{h}{e}\]

View Answer
44) A beam of light travelling along \[x-\]axis is described by the electric field\[{{E}_{y}}=(600\,V{{m}^{-1}})\sin \omega (t-x/c)\] then maximum magnetic force on a charge \[q=2e,\]moving along \[y-\]axis with a speed of \[3.0\times {{10}^{7}}\,m{{s}^{-1}}\] is \[(e=1.6\times {{10}^{-19}}C)\]

A)

\[19.2\times {{10}^{-17}}N\]

B)

       \[1.92\times {{10}^{-17}}\,N\]

C)

       \[0.192\,N\]

D)

       None of these

View Answer
45) Equipotential surfaces associated with an electric field which is increasing in magnitude along the \[x-\]direction are

A)

planes parallel to \[yz-\]plane

B)

planes parallel to \[xy-\]plane

C)

planes parallel to \[xz-\]plane

D)

coaxial cylinders of increasing radii around the \[x-\]axis

View Answer
46) If 200 MeV energy is released in the fission of a single nucleus of \[{{\,}_{92}}U{{\,}^{235}},\] how many fissions must occur per second to produce a power 1 kW?

A)

\[3.12\times {{10}^{13}}\]

B)

       \[3.12\times {{10}^{3}}\]

C)

       \[3.1\times {{10}^{17}}\]

D)

       \[3.12\times {{10}^{19}}\]

View Answer
47) Find ratio of acceleration due to gravity g depth d and at height h, where d = 2h.

A)

\[1:1\]

B)

       \[1:2\]

C)

       \[2:1\]

D)

       \[1:4\]

View Answer
48) A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of combination is

A)

\[-1.5\,D\]

B)

\[-6.5\,D\]

C)

       \[+6.5D\]

D)

       \[+\,6.67D\]

View Answer
49) In a Youngs experiment, two coherent sources are placed 0.90 mm apart and the fringes are observed one metre away. If it produces the second dark fringe at a distance of 1 mm from the central fringe, the wavelength monochromatic light used would be

A)

\[60\times {{10}^{-4}}cm\]

B)

       \[10\times {{10}^{-4}}cm\]

C)

\[10\times {{10}^{-5}}cm\]

D)

       \[6\times {{10}^{-5}}cm\]

View Answer
50) A bar magnet when placed at an angle of \[{{30}^{o}}\] the direction of magnetic field induction of \[5\times {{10}^{-2}}T,\]experiences a moment of couple \[25\times {{10}^{-6}}\,N-m.\] If the length of the magnet is 5 cm its pole strength is

A)

\[2\times {{10}^{-2}}A-m\]

B)

       \[5\times {{10}^{-2}}A-m\]

C)

       \[2\,A-m\]

D)

       \[5\,A-m\]

View Answer
51) The number of moles of \[\text{KMn}{{\text{O}}_{\text{4}}}\]reduced by one mole of KI in alkaline medium is

A)

1

B)

5

C)

1/2

D)

                       1/5

View Answer
52) Value    of   \[x\]    in   potash    alum, \[{{K}_{2}}S{{O}_{4}}.A{{l}_{x}}{{(S{{O}_{4}})}_{3}}.24{{H}_{2}}O\]

A)

4

B)

       1

C)

2

D)

       None of these

View Answer
53) Ozone is used for purifying water because

A)

it dissociates and release oxygen

B)

do not leave any foul smell like chlorine

C)

kills bacteria, cyst, fungi and acts as a biocide

D)

All of the above

View Answer
54) Internal energy is sum of

A)

kinetic energy and potential energy

B)

all types of energy of the system

C)

energy of internal system

D)

None of the above

View Answer
55) Total volume of atoms present in a face centred cubic unit cell of a metal is (\[r=\]atomic radius)

A)

\[\frac{20}{3}\pi {{r}^{3}}\]

B)

       \[\frac{24}{3}\pi {{r}^{3}}\]

C)

       \[\frac{12}{3}\pi {{r}^{3}}\]

D)

       \[\frac{16}{3}\pi {{r}^{3}}\]

View Answer
56) If two molecules of A and B having mass 100 kg and 64 kg and rate of diffusion of A is \[12\times {{10}^{-3}},\] then what will be the rate of diffusion of B?

A)

\[15\times {{10}^{-3}}\]

B)

       \[64\times {{10}^{-3}}\]

C)

       \[~5\times {{10}^{-3}}\]

D)

       \[~46\times {{10}^{-3}}\]

View Answer
57) Aniline is prepared in presence of Fe/HCl from

A)

benzene

B)

nitrobenzene

C)

                       dinitrobenzene

D)

       None of these

View Answer
58) Difference between S and \[{{S}^{2-}}\]as \[{{S}^{2-}}\]has

A)

larger radii and larger size

B)

smaller radii and larger size

C)

larger radii and smaller size

D)

smaller radii and smaller size

View Answer
59) Which of the following is not correct?

A)

\[{{t}_{1/2}}=\frac{0.693}{k}\]

B)

\[N={{N}_{0}}{{e}^{-kt}}\]

C)

\[\frac{1}{N}=\frac{1}{{{N}_{0}}}=\ln \,k{{t}_{1/2}}\]

D)

None of the above

View Answer
60) Which is not in accordance to aufbau principle?

A)



B)

C)



D)



View Answer
61) \[C{{H}_{3}}C{{H}_{2}}Cl\]undergoes homolytic fission, produces

A)

\[C{{H}_{3}}\overset{\centerdot }{\mathop{C}}\,{{H}_{2}}\]and \[\overset{\centerdot }{\mathop{C}}\,l\]

B)

\[C{{H}_{3}}\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\]and \[C{{l}^{\text{o}-}}\]

C)

\[C{{H}_{3}}\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\]and \[\overset{\centerdot }{\mathop{C}}\,l\]

D)

\[C{{H}_{3}}\overset{\centerdot }{\mathop{C}}\,{{H}_{2}}\]and \[C{{l}^{\text{o}-}}\]

View Answer
62) \[C-C\]bond order in benzene is

A)

1

B)

2

C)

between 1 and 2

D)

None of these

View Answer
63) In colloid particles, range of diameter is

A)

1 to 100 nm

B)

1 to 1000 cm

C)

1 to 1000 mm

D)

       1 to 100 km

View Answer
64) \[Z{{n}^{2+}}\xrightarrow{{}}Zn(s);{{E}^{o}}=-0.76\,V\] \[C{{u}^{2+}}\xrightarrow{{}}Cu(s);{{E}^{o}}=-0.34\,V\] Which of the following is spontaneous?

A)

\[Z{{n}^{2+}}+Cu\xrightarrow{{}}Zn+C{{u}^{2+}}\]

B)

\[C{{u}^{2+}}+Zn\xrightarrow{{}}Cu+Z{{n}^{2+}}\]

C)

\[Z{{n}^{2+}}+C{{u}^{2+}}\xrightarrow{{}}Zn+Cu\]

D)

None of the above

View Answer
65) Highest electron affinity among the following is

A)

fluorine

B)

chlorine

C)

sulphur

D)

       xenon

View Answer
66) Which of the following noble gases is most reactive?

A)

He

B)

       Ne

C)

Ar

D)

       Xe

View Answer
67) Which one of the following is a correct set with respect to molecule, hybridisation and shape?

A)

\[BeC{{l}_{2}},\text{ }s{{p}^{2}},\,\]linear

B)

\[BeC{{l}_{2}},\text{ }s{{p}^{2}},\]triangular planar

C)

\[~BC{{l}_{3}},\text{ }s{{p}^{2}},\] triangular planar

D)

\[BC{{l}_{3}},s{{p}^{3}},\]tetrahedral

View Answer
68) \[{{H}_{2}}S\]is not a/an

A)

reducing agent

B)

acidic

C)

oxidizing agent

D)

None of the above

View Answer
69) On doubling p and V with constant temperature, the equilibrium constant will

A)

remain constant

B)

become double

C)

become one-fourth

D)

None of the above

View Answer
70) What is the electronic configuration of\[M{{n}^{2+}}\]?

A)

\[~[Ne]\text{ }3{{d}^{5}},\text{ }4{{s}^{o}}\]

B)

       \[\text{ }\!\![\!\!\text{ }Ar\text{ }\!\!]\!\!\text{ }3{{d}^{5}},\text{ }4{{s}^{2}}\]

C)

\[\text{ }\!\![\!\!\text{ }Ar\text{ }\!\!]\!\!\text{ }3{{d}^{5}},\text{ }4{{s}^{0}}\]

D)

      \[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{d}^{5}},\text{ }4{{s}^{2}}\]

View Answer
71) Increase in atomic size down the group is due to

A)

increase in number of electrons

B)

increase in number of protons and neutrons

C)

increase in number of protons

D)

increase in number of protons, neutrons and electrons

View Answer
72) Which is tribasic acid?

A)

\[{{H}_{3}}P{{O}_{2}}\]

B)

\[{{H}_{3}}P{{O}_{4}}\]

C)

\[{{H}_{4}}{{P}_{2}}{{O}_{7}}\]

D)

       \[{{H}_{3}}P{{O}_{3}}\]

View Answer
73) Highest ionizing power is exhibited by

A)

\[\alpha -\] rays

B)

\[\beta -\]rays

C)

\[\gamma -\]rays

D)

       \[X-\]rays

View Answer
74) Blister copper is

A)

impure \[Cu\]

B)

\[Cu\]alloy

C)

pure \[Cu\]

D)

Cu having 1% impurity

View Answer
75) Claisen condensation is not given by

A)

B)

C)

D)

View Answer
76) \[AgN{{O}_{3}}\]does not give precipitate with \[CHC{{l}_{3}}\] because

A)

\[CHC{{l}_{3}}\] does not ionize in water

B)

\[Agn{{O}_{3}}\] is chemically inert

C)

\[CHC{{l}_{3}}\] is chemically inert

D)

None of the above

View Answer
77) \[_{90}T{{h}^{228}}\xrightarrow{{}}{{\,}_{83}}B{{i}^{212}}\]by

A)

\[4\alpha ,1\beta \]

B)

\[4\alpha ,2\beta ,\]

C)

\[5\alpha ,1\beta \]

D)

       \[5\alpha ,2\beta ,\]

View Answer
78) Blood cells do not shrink in blood because blood is

A)

hypotonic

B)

isotonic

C)

equimolar

D)

       hypeitonic

View Answer
79) The compound in which underlined carbon uses only its \[s{{p}^{3}}\]hybrid orbitals for bond formation is

A)

\[C{{H}_{3}}\underset{\scriptscriptstyle-}{C}OOH\]

B)

       \[C{{H}_{3}}\underline{C}ON{{H}_{2}}\]

C)

\[C{{H}_{3}}\underline{C}{{H}_{2}}OH\]

D)

       \[C{{H}_{3}}\underline{C}H=C{{H}_{2}}\]

View Answer
80) t-butyl alcohol is

A)

2-methyl propan-2-ol

B)

2-methyl propan-1-ol

C)

3-methyl butan-1-ol

D)

3-methyl butan-2-ol

View Answer
81) Optical isomerism is shown by

A)

propanol-2

B)

       butanol-2

C)

ethanol

D)

       methanol

View Answer
82) When \[{{C}_{2}}{{H}_{2}},C{{H}_{4}}\]and \[{{C}_{2}}{{H}_{4}}\]passes through a test tube which have ammoniacal \[C{{u}_{2}}C{{l}_{2}},\]find out which gas comes out unaffected from test tube?

A)

\[{{C}_{2}}{{H}_{2}}\]and \[C{{H}_{4}}\]

B)

\[{{C}_{2}}{{H}_{2}}\]and \[{{C}_{2}}{{H}_{4}}\]

C)

\[{{C}_{2}}{{H}_{4}}\]and \[C{{H}_{4}}\]

D)

\[{{C}_{2}}{{H}_{2}}\]

View Answer
83) When hydrogen molecules decomposed into its atoms which conditions gives maximum yield of H atoms?

A)

High temperature and low pressure

B)

Low temperature and high pressure

C)

High temperature and high pressure

D)

Low temperature and low pressure

View Answer
84) Natural rubber is a polymer of

A)

styrene

B)

chloroprene

C)

\[C{{H}_{2}}=\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,-CH=C{{H}_{2}}\]or isoprene

D)

1, 3-butadiene

View Answer
85) Which of the following compounds is aromatic?

A)



B)



C)



D)



View Answer
86) The value of \[\Lambda _{eq}^{\infty }\] for\[N{{H}_{4}}Cl,NaOH\] and\[NaCl\] are respectively, 149.74, 248.1 and \[126.4\,oh{{m}^{-1}}\,c{{m}^{2}}e{{q}^{-1}}.\] The value of \[A_{eq}^{\infty }\]of \[N{{H}_{4}}OH\]is

A)

371.44

B)

271.44

C)

71.44

D)

Cannot be predicted from given data

View Answer
87) Number of atoms of He in 100 u of He (atomic wt of He is 4) are

A)

25

B)

       100

C)

50

D)

       \[100\times 6\times {{10}^{-23}}\]

View Answer
88) Which has least gold number?

A)

Gelatin

B)

       Starch

C)

       Albumin

D)

       Blood

View Answer
89) In a compound C, H and N are present in 9 : 1 : 3.5 by weight. If molecular weight of the compound is 108, then the molecular formula of the compound is

A)

\[{{C}_{2}}{{H}_{6}}{{N}_{2}}\]

B)

       \[{{C}_{3}}{{H}_{4}}N\]

C)

       \[{{C}_{6}}{{H}_{8}}{{N}_{2}}\]

D)

       \[{{C}_{9}}{{H}_{12}}{{N}_{3}}\]

View Answer
90) In the following reaction \[{{C}_{2}}{{H}_{2}}\xrightarrow[HgS{{O}_{4}}/{{H}_{2}}S{{O}_{4}}]{{{H}_{2}}O}X\rightleftharpoons C{{H}_{3}}CHO,\]What is \[X\]?

A)

\[C{{H}_{3}}C{{H}_{2}}OH\]

B)

\[C{{H}_{3}}-O-C{{H}_{3}}\]

C)

\[C{{H}_{3}}C{{H}_{2}}CHO\]

D)

\[C{{H}_{2}}=CHOH\]

View Answer
91) Which one of the following will most readily be dehydrated in acidic conditions?

A)



B)



C)



D)



View Answer
92) Which of the following solutions will have \[pH=9\]at 298 K?

A)

\[1\times {{10}^{-9}}\,M\,HCl\]solution

B)

\[1\times {{10}^{-5}}\,M\,NaOH\]solution

C)

\[1\times {{10}^{-9}}\,M\,KOH\]solution

D)

Both (a) and (b)

View Answer
93) The following data are for the decomposition of ammonium nitrite in aqueous solution.

Vol. of \[{{N}_{2}}\]in cc Times (min)

6.25 10

9.00 15

11.40 20

13.65 25

35.65 Infinity

The order of reaction is

A)

zero

B)

       one

C)

two

D)

       three

View Answer
94) An alkyl halide by formation of its Grignard reagent and heating with water yields propane. What is the original alkyl halide?

A)

Methyl iodide

B)

       Ethyl iodide

C)

       Ethyl bromide

D)

       Propyl bromide

View Answer
95) The following reaction is known as

A)

Perkin reaction

B)

Gattermann reaction

C)

Kolbe reaction

D)

Gattermann-aldehyde reaction

View Answer
96) Aldehyde with \[N{{H}_{2}}.N{{H}_{2}}\]forms

A)

hydrazones

B)

       aniline

C)

       nitrobenzene

D)

       None of these

View Answer
97) Van t Hoff factor of \[Ca{{(N{{O}_{3}})}_{2}}\]us

A)

one

B)

       two

C)

three

D)

       four

View Answer
98) 1 mole of \[{{H}_{2}}\]and 2 moles of \[{{I}_{2}}\]are taken initially in a two litre vessel. The number of moles of \[{{H}_{2}}\]at equilibrium is 0.2. Then, the number of moles of \[{{I}_{2}}\]and HI at equilibrium are

A)

1.2, 1.6

B)

       1.8, 1.0

C)

       0.4, 2.4

D)

       0.8, 2.0

View Answer
99) The volume of water to be added to 100 cm3 of \[0.5\text{ }N\text{ }{{H}_{2}}S{{O}_{4}}\]to get decinormal concentration is

A)

\[400\,c{{m}^{3}}\]

B)

       \[450\,c{{m}^{3}}\]

C)

       \[~500\,c{{m}^{3}}\]

D)

       \[100\,c{{m}^{3}}\]

View Answer
100) 1.520 g of hydroxide of a metal on ignition gave 0.995 g of oxide. The equivalent weight of metal is

A)

1.52

B)

       0.995

C)

                       190

D)

       9

View Answer
101) If \[f:R\to R\]is defined by \[f(x)=[2x]-2[x]\] for all \[x\in R,\]where \[[x]\]is the greatest integer not exceeding x, then the range of\[f\]is

A)

\[\{x\in R:0\le x\le 1\}\]

B)

\[(0,1)\]

C)

\[\{x\in R:x>0\}\]

D)

\[\{x\in R:x\le 0\}\]

View Answer
102) If \[x=\sqrt{\frac{2+\sqrt{3}}{2-\sqrt{3}},}\]then \[{{x}^{2}}{{(x-4)}^{2}}\] is equal to

A)

7

B)

       4

C)

2

D)

       1

View Answer
103) For all integers \[n\ge 1,\]which of the following is divisible by 9?

A)

\[{{8}^{n}}+1\]

B)

       \[{{4}^{n}}-3n-1\]

C)

       \[{{3}^{2n}}+3n+1\]

D)

       \[{{10}^{n}}+1\]

View Answer
104) Eight different letters of an alphabet are given Words of four letters from these are formed The number of such words with at least one letter repeated is

A)

\[\left( _{4}^{8} \right)-{{\,}^{8}}{{P}_{4}}\]

B)

       \[{{8}^{4}}+\left( _{4}^{8} \right)\]

C)

       \[{{8}^{4}}-{{\,}^{8}}{{P}_{4}}\]

D)

       \[{{8}^{4}}-\left( _{4}^{8} \right)\]

View Answer
105) The number of natural numbers less than 1000, in which no two digits are repeated is

A)

738

B)

       792

C)

837

D)

       720

View Answer
106) \[1+\frac{2}{4}+\frac{2.5}{4.8}+\frac{2.5.8}{4.8.12}+\frac{2.5.8.11}{4.8.12.16}+...\]is equal to

A)

\[{{4}^{-2/3}}\]

B)

       \[\sqrt[3]{16}\]

C)

       \[\sqrt[3]{4}\]

D)

       \[{{4}^{3/2}}\]

View Answer
107) The coefficient of \[{{x}^{n}}\]in\[\frac{1-2x}{{{e}^{x}}}\]is

A)

\[\frac{(1+2n)}{n!}\]

B)

       \[{{(-1)}^{n}}.\frac{\left( 1+2n \right)}{n!}\]

C)

       \[{{(-1)}^{n}}.\frac{(1-2n)}{n!}\]

D)

       \[{{(-1)}^{n}}.\frac{(1+4n)}{n!}\]

View Answer
108) If \[\sqrt{9{{x}^{2}}+6x+1}<(2-x),\]then

A)

\[x\in \left( -\frac{3}{2},\frac{1}{4} \right)\]

B)

\[x\in \left( -\frac{3}{2},\frac{1}{4} \right]\]

C)

\[x\in \left[ -\frac{3}{2},\frac{1}{4} \right)\]

D)

\[x<\frac{1}{4}\]

View Answer
109) The difference between two roots of the equation \[{{x}^{3}}-13{{x}^{2}}+15x+189=0\] is\[2.\]Then, the roots of the equation are

A)

\[-3,5,7\]

B)

       \[-3,-7,-9\]

C)

       \[3,-5,7\]

D)

       \[-3,7,9\]

View Answer
110) If \[\alpha ,\beta ,\gamma \]are the roots of the equation \[{{x}^{3}}-6{{x}^{2}}+11x+6=0,\]then \[\sum {{\alpha }^{2}}\beta +\sum {{\alpha }^{2}}\beta +\sum \alpha {{\beta }^{2}}\]is equal to

A)

80

B)

       84

C)

90

D)

- 84

View Answer
111) If A is an inverrible matrix of order n, then the determinant of \[adj\,(A)\] is equal to

A)

\[|A{{|}^{n}}\]

B)

       \[|A{{|}^{n+1}}\]

C)

       \[|A{{|}^{n-1}}\]

D)

       \[|A{{|}^{n+2}}\]

View Answer
112) \[\left| \begin{matrix}    \log e & \log {{e}^{2}} & \log {{e}^{3}} \\    \log {{e}^{2}} & \log {{e}^{3}} & \log {{e}^{4}} \\    \log {{e}^{3}} & \log {{e}^{4}} & \log {{e}^{5}} \\ \end{matrix} \right|\]is equal to

A)

0

B)

       1

C)

4 loge

D)

       5 loge

View Answer
113) The equation of the locus of \[z\] such that \[\left| \frac{z-i}{z+i} \right|=2,\]where \[z=x+iy\]is a complex number, is

A)

\[3{{x}^{2}}+\text{ }3{{y}^{2}}+10y\text{ }-3=0\]

B)

\[~3{{x}^{2}}+3{{y}^{2}}+10y+3=0\]

C)

\[3{{x}^{2}}-3{{y}^{2}}-10y-3=0\]

D)

\[{{x}^{2}}+{{y}^{2}}-5y+3=0\]

View Answer
114) If \[5\cos x+12\cos y=13,\] then the maximum value of \[5\,\sin x+12\sin y\]is

A)

12

B)

       \[\sqrt{120}\]

C)

       \[\sqrt{20}\]

D)

       13

View Answer
115) The quadratic equation whose roots are \[{{\sin }^{2}}{{18}^{o}}\]and \[{{\cos }^{2}}{{36}^{o}}\]is

A)

\[~16{{x}^{2}}-12x+1=0\]

B)

\[16{{x}^{2}}+12x+1=0\]

C)

\[16{{x}^{2}}-12x-1=0\]

D)

\[16{{x}^{2}}+\text{10}x+1=0\]

View Answer
116) For all values of \[\theta ,\] the values of \[3-\cos \theta +\cos \left( \theta +\frac{\pi }{3} \right)\] lie in the interval

A)

\[[-2,3]\]

B)

       \[[-2,1]\]

C)

       \[[2,4]\]

D)

       \[[1,5]\]

View Answer
117) If \[x=\tan {{15}^{o}},y=\cos ec{{75}^{o}}\]and \[z=4\sin {{18}^{o}},\]then

A)

\[x<y<z\]

B)

       \[y<z<x\]

C)

       \[z<x<\text{ }y\]

D)

       \[~x<z<\text{ }y\]

View Answer
118) If in \[\Delta \,ABC,\,\,\tan \frac{A}{2}=\frac{5}{6}\] and \[\tan \frac{C}{2}=\frac{2}{5},\]then\[a,b,c\] are such that

A)

\[{{b}^{2}}=ac\]

B)

\[2b=a+c\]

C)

\[2ac=b(a+c)\]

D)

\[a+b=c\]

View Answer
119) If \[b+c=3a,\]then \[\cot \frac{B}{2}\cot \frac{C}{2}\]is equal to

A)

3

B)

       1

C)

4

D)

       2

View Answer
120) The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be \[{{30}^{o}}.\] After walking 120 m towards it on level ground the elevation is found to be \[{{60}^{o}}.\] Then the height of the object (in metres) is

A)

120

B)

       \[60\sqrt{3}\]

C)

       \[120\sqrt{3}\]

D)

       \[60\]

View Answer
121) If \[\vec{a}+\vec{b}+\vec{c}=\vec{o}\]and \[|\vec{a}|=3,|\vec{b}|=4\]and \[|\vec{c}|=\sqrt{37},\]then the angle between \[\vec{a}\]and \[\vec{b}\] is

A)

\[\frac{\pi }{4}\]

B)

       \[\frac{\pi }{2}\]

C)

\[\frac{\pi }{6}\]

D)

       \[\frac{\pi }{3}\]

View Answer
122) The position vector of a point lying on the line joining the points whose position vectors are \[\hat{i}+\hat{j}-\hat{k}\]and \[\hat{i}-\hat{j}+\hat{k}\]is

A)

\[\hat{j}\]

B)

       \[\hat{i}\]

C)

\[\hat{k}\]

D)

       \[\vec{o}\]

View Answer
123) If the volume of parallelepiped with\[4\hat{i}+5\hat{j}+\hat{k},-\hat{j}+\hat{k}\]with coterminous edges \[4\hat{i}+5\hat{j}+\hat{k},-\hat{j}+\hat{k}\] and \[3\hat{i}+9\hat{j}+p\hat{k}\]is 34 cubic unit, then? is equal to

A)

4

B)

       -13

C)

       13

D)

       6

View Answer
124) If A and B are two independent events such that \[P(B)=\frac{2}{7},P(A\cup {{B}^{c}})=0.8,\]then \[P(A)\] is equal to

A)

0.1

B)

       0.2

C)

       0.3

D)

       0.4

View Answer
125) Seven balls are drawn simultaneoulsy from a bag containing 5 white and 6 green balls. The probability of drawing 3 white and 4 green balls is

A)

\[\frac{7}{{{\,}^{11}}{{C}_{7}}}\]

B)

       \[\frac{{{\,}^{5}}{{C}_{3}}+{{\,}^{6}}{{C}_{4}}}{{{\,}^{11}}{{C}_{7}}}\]

C)

       \[\frac{{{\,}^{5}}{{C}_{2}}+{{\,}^{6}}{{C}_{2}}}{{{\,}^{11}}{{C}_{7}}}\]

D)

       \[\frac{{{\,}^{6}}{{C}_{3}}+{{\,}^{5}}{{C}_{4}}}{{{\,}^{11}}{{C}_{7}}}\]

View Answer
126) The equation of the line passing through the point of intersection of the lines\[~x-3y+2=0\] and and perpendicular to the line \[2x+5y-7=0\] is

A)

\[2x-3y+1=0\]

B)

\[~6x-9y+11=0\]

C)

\[~2x-3y+5=0\]

D)

\[3x-2y+1=0\]

View Answer
127) Let O be the origin and A be a point on the curve \[{{y}^{2}}=4x.\]Then the locus of the mid point of OA, is

A)

\[{{x}^{2}}=4y\]

B)

       \[{{x}^{2}}=2y\]

C)

       \[{{x}^{2}}=16y\]

D)

       \[{{y}^{2}}=2x\]

View Answer
128) The lines represented by the equation \[{{x}^{2}}-\text{ }{{y}^{2}}-\text{ }x+3y-2=0\]are

A)

\[x+y-1=0,\,x-y+2=0\]

B)

\[x-y-2=0,x+y+1=0\]

C)

\[x+y+2=,0,x-y-1=0\]

D)

\[x-y+1=0,x+y-2=0\]

View Answer
129) If OA is equally inclined to OX, OY and OZ and if A is \[\sqrt{3}\]unit from the origin, then A is

A)

\[(3,3,3)\]

B)

       \[(-1,1,-1)\]

C)

       \[(-1,1,1)\]

D)

       \[(1,1,1)\]

View Answer
130) If the direction cosines of two lines are such that \[l+m+n=0,{{l}^{2}}+{{m}^{2}}-{{n}^{2}}=,0\]then the angle between them is

A)

\[\pi \]

B)

       \[\pi /3\]

C)

       \[\pi /4\]

D)

       \[\pi /6\]

View Answer
131) The number of common tangents to the two circles \[{{x}^{2}}+\text{ }{{y}^{2}}-\text{ }8x+2y=0\] and \[{{x}^{2}}+{{y}^{2}}-2x-16y+25=0\]is

A)

1

B)

       2

C)

       3

D)

       4

View Answer
132) The length of the tangent drawn to the circle \[{{x}^{2}}+{{y}^{2}}-2x+4y-11=0\]from the point \[(1,3)\]is

A)

1

B)

       2

C)

3

D)

       4

View Answer
133) Equation of the latusrectum of the ellipse \[9{{x}^{2}}+4{{y}^{2}}-18x-8y-23=0\text{ }\]are

A)

\[y=\pm \text{ }\sqrt{5}\]

B)

\[x=\pm \text{ }\sqrt{5}\]

C)

       \[y=1\pm 5\]

D)

       \[x=-1\pm \sqrt{5}\]

View Answer
134) If the eccentricity of a hyperbola is\[\sqrt{3},\], then the eccentricity of its conjugate hyperbola is

A)

\[\sqrt{2}\]

B)

\[\sqrt{3}\]

C)

\[\sqrt{\frac{3}{2}}\]

D)

       \[2\sqrt{3}\]

View Answer
135) If \[{{x}^{y}}={{y}^{x}},\]then \[x(x-y\log x)\frac{dy}{dx}\]is equal to

A)

\[y(y-x\log \,y)\]

B)

\[y(y+x\,\log \,y)\]

C)

       \[x(x+y\log x)\]

D)

       \[x(y-x\log y)\]

View Answer
136) \[f(x)={{e}^{x}}\sin x,\]then \[f(x)\]is equal to

A)

\[{{e}^{6x}}\sin 6x\]

B)

       \[2{{e}^{x}}\cos x\]

C)

       \[8{{e}^{x}}\sin x\]

D)

       \[8{{e}^{x}}\cos x\]

View Answer
137) If \[0<p<q,\]then \[\underset{n\to \infty }{\mathop{\lim }}\,{{({{q}^{n}}+{{p}^{n}})}^{1/n}}\]is equal to

A)

\[e\]

B)

                       \[p\]

C)

\[q\]

D)

       0

View Answer
138) \[\underset{x\to \infty }{\mathop{\lim }}\,[{{x}^{2}}+2x-1]\]is equal to

A)

\[\infty \]

B)

       \[\frac{1}{2}\]

C)

4

D)

       1

View Answer
139) If \[f(x)=\left\{ \begin{matrix}    \frac{1-\sqrt{2}\sin x}{\pi -4x}, & if\,x\ne \frac{\pi }{4} \\    a & if\,x=\frac{\pi }{4} \\ \end{matrix} \right.\] is continuous at \[\frac{\pi }{4},\] then a is equal to

A)

4

B)

2

C)

1

D)

       1/4

View Answer
140) If \[\theta \]is the angle between the curves \[xy=2\]and \[{{x}^{2}}+4y=0,\]then \[\tan \theta \]is equal to

A)

1

B)

-1

C)

2

D)

3

View Answer
141) In the interval \[(-3,3)\] the function \[f(x)=\frac{x}{3}+\frac{3}{x},x\ne 0\]is

A)

increasing

B)

decreasing

C)

neither increasing nor decreasing

D)

partly increasing and partly decreasing

View Answer
142) If \[\int_{{}}^{{}}{\,\sqrt{\frac{x}{{{a}^{3}}-{{x}^{3}}}}dx}=g(x)+c,\]then \[g(x)\]is equal to

A)

\[\frac{2}{3}{{\cos }^{-1}}x\]

B)

\[\frac{2}{3}{{\sin }^{-1}}\left( \frac{{{x}^{3}}}{{{a}^{3}}} \right)\]

C)

                       \[\frac{2}{3}{{\sin }^{-1}}\left( \sqrt{\frac{{{x}^{3}}}{{{a}^{3}}}} \right)\]

D)

       \[\frac{2}{3}{{\cos }^{-1}}\left( \frac{x}{a} \right)\]

View Answer
143) If \[\frac{dx}{{{x}^{2}}+2x+2}=f(x)+c,\]then \[f(x)\]is equal to

A)

\[{{\tan }^{-1}}(x+1)\]

B)

       \[2{{\tan }^{-1}}(x+1)\]

C)

                       \[-{{\tan }^{-1}}(x+1)\]

D)

       \[3{{\tan }^{-1}}(x+1)\]

View Answer
144) \[\int_{0}^{\pi /2}{\frac{dx}{1+{{\tan }^{3}}x}}\]is equal to

A)

\[\pi \]

B)

\[\frac{\pi }{2}\]

C)

\[\frac{\pi }{4}\]

D)

       \[\frac{3\pi }{2}\]

View Answer
145) The solution of\[(1+{{x}^{2}})\frac{dy}{dx}+2xy-4{{x}^{2}}=0\]is

A)

\[3x(1+{{y}^{2}})=4{{y}^{3}}+c\]

B)

\[3y(1+{{x}^{2}})=4{{x}^{3}}+c\]

C)

\[3x(1-{{y}^{2}})=4{{y}^{3}}+c\]

D)

\[3y(1+{{y}^{2}})=4{{x}^{3}}+c\]

View Answer
146) The function \[f(x)=\log (x+\sqrt{{{x}^{2}}+1})\]is

A)

an even function

B)

an odd function

C)

a periodic function

D)

neither an even nor an odd function

View Answer
147) If p, q and rare simple propositions with truth values T, F, T, then the truth value of\[(\tilde{\ }p\vee q)\wedge \tilde{\ }q\Rightarrow p\]is

A)

true

B)

       false

C)

true, if r is false

D)

       None of these

View Answer
148) The dual of \[x+(yx)=x\]is

A)

\[(x+y).(x+x)=x\]

B)

\[x.(y+x)=x\]

C)

\[x.(y.x)=x\]

D)

None of the above

View Answer
149) Forces of magnitudes 5N, 10N, 15N and 20 N   act on a particle in the direction of North, South, East and West respectively. The magnitude of their resultant is

A)

\[15\sqrt{2}N\]

B)

       \[10\,N\]

C)

       \[25\sqrt{2}\,N\]

D)

\[5\sqrt{2}\,N\]

View Answer
150) The value of \[\int_{-\pi /2}^{\pi /2}{\log \left( \frac{2-\sin \theta }{2+\sin \theta } \right)}d\theta \]is

A)

0

B)

       1

C)

       2

D)

       None of these

View Answer