Solved papers for VIT Engineering VIT Engineering Solved Paper-2010
done VIT Engineering Solved Paper-2010 Total Questions - 120
question_answer1) A straight wire carrying current \[i\] is turned into a circular loop. If the magnitude of magnetic moment associated with it in MKS unit is \[M\], the length of wire will be
question_answer2) The ratio of the amounts of heat developed in the four arms of a balance Wheatstone bridge, when the arms have resistances \[P=100\,\Omega \], \[Q=10\,\Omega \], \[R=300\,\Omega \] and \[S=30\,\Omega \] respectively is
question_answer3) An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature\[20{}^\circ C\]? The temperature of boiling water is\[100{}^\circ C\].
question_answer5) In Youngs double slit experiment, the spacing between the slits is d and wavelength of light used is \[\text{6000}\overset{\text{o}}{\mathop{\text{A}}}\,\].If the angular width of a fringe formed on a distance screen is \[1{}^\circ \], then value of \[d\] is
question_answer6) An electric dipole consists of two opposite charges of magnitude \[q=1\times {{10}^{-6}}C\] separated by 2.0 cm. The dipole is placed in an external field of\[1\times {{10}^{5}}N{{C}^{-1}}\]. What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starring from position of alignment\[(9=0{}^\circ )\]?
question_answer7) The electron of hydrogen atom is considered to be revolving round a proton in circular orbit of radius \[{{h}^{2}}/m{{e}^{2}}\] with velocity\[{{e}^{2}}/h\], where\[h=h/2\pi \]. The current \[i\] is
question_answer10) A proton of mass \[1.67\times {{10}^{-27}}kg\] enters a uniform magnetic field of 1 T at point A as shown in figure, with a speed of\[{{10}^{7}}m{{s}^{-1}}\]. The magnetic field is directed normal to the plane of paper downwards. The proton emerges out of the magnetic field at point\[C\], then the distance \[AC\] and the value of angle \[\theta \] will respectively be
question_answer11) A neutral water molecule\[\text{(}{{\text{H}}_{\text{2}}}\text{O)}\]in its vapour state has an electric dipole moment of magnitude\[6.4\times {{10}^{-30}}C-m\]. How far apart are the molecules centres of positive and negative charges?
question_answer12) Figure shows a straight wire of length \[l\] carrying current \[i\]. The magnitude of magnetic field produced by the current at point P is
question_answer15) A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is n and the cross-sectional area of the coil is A. When the coil turns through \[180{}^\circ \] about its diameter, the charge flowing through the coil is Q. The total resistance of the circuit is R. What is the magnitude of the magnetic induction?
question_answer17) An arc of radius r carries charge. The linear density of charge is \[\lambda \] and the arc subtends an angle \[\frac{\pi }{3}\]at the centre. What is electric potential at the centre?
question_answer18) Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are
question_answer19) 50\[\Omega \] and 100\[\Omega \] resistors are connected in series. This connection is connected with a battery of 2.4 V. When a voltmeter of 100\[\Omega \]resistance is connected across 100\[\Omega \] resistor, then the reading of the voltmeter will be
question_answer20) In space charge limited region, the plate current in a diode is 10 mA for plate voltage 150 V. If the plate voltage is increased to 600V, then the plate current will be
question_answer21) Light of wavelength strikes a photo-sensitive surface and electrons are ejected with kinetic energy E. If. the kinetic energy is to be increased to 2E, the wavelength must be changed to \[\lambda \]where
question_answer22) The maximum velocity of electrons emitted from a metal surface is\[v\], when frequency of light falling on it is\[f\]. The maximum velocity when frequency becomes \[4f\]is
question_answer23) The collector plate in an experiment on photoelectric effect is kept vertically above the emitter plate. Light source is put on and a saturation photo-current is recorded. An electric field is switched on which has a vertically downward direction, then
question_answer24) A cylindrical conductor of radius R carries a current i. The value of magnetic field at a point which is \[\frac{R}{4}\]distance inside from the surface is 10 T. The value of magnetic field at point which is 4R distance outside from the surface
question_answer25) The power of a thin convex lens \[\left( _{a}{{n}_{g}}=1.5 \right)\] is 5.0 D. When it is placed in a liquid of refractive index \[_{a}{{n}_{l}},\] then it behaves as a concave lens of focal length 100 cm. The refractive index of the liquid\[_{a}{{n}_{l}},\]will be
question_answer26) Find the value of magnetic field between plates of capacitor at a distance 1 m from centre, where electric field varies by \[{{10}^{10}}V/m\]per second.
question_answer27) sing an AC voltmeter the potential difference in the electrical line in a house is read to be 234 V. If line frequency is known to be 50 cycles/s, the equation for the line voltage is
A)
\[\text{V }\!\!~\!\!\text{ = 165 sin (100 }\!\!\pi\!\!\text{ t)}\]
question_answer29) Silver has a work function of 4.7 eV. When ultraviolet light of wavelength 100 nm is incident upon it, potential of 7.7 V is required to stop photoelectrons from reaching the collector plate. The potential required to stop electrons when light of wavelength 200 nm is incident upon silver is
question_answer30) Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii \[{{R}_{1}}\] and \[{{R}_{2}}\], respectively. The ratio of masses of X and Y is
question_answer31) According to the Bohrs theory of hydrogen atom, the speed of the electron, energy and the radius of its orbit vary with the principal quantum number n, respectively, as
question_answer32) In the hydrogen atom, the electron is making\[6.6\times {{10}^{15}}\,\text{rps}\]. If the radius of the orbit is \[0.53\times {{10}^{-10}}m\], then magnetic field produced at the centre of the orbit is
question_answer33) Two identical light sources \[{{S}_{1}}\] and \[{{S}_{2}}\]emit light of same wavelength\[\lambda \]. These light rays will exhibit interference if
question_answer34) In Meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is
question_answer35) A fish, looking up through the water, sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimetre is
question_answer37) In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If \[{{a}_{0}}\] is the radius of the ground state orbit, \[m\] is the mass and \[e\] is charge on the electron and \[{{\varepsilon }_{0}}\] is the vacuum permittivity, the speed of the electron is
question_answer38) A potential difference of \[2V\] is applied between the opposite faces of a Ge crystal plate of area \[1c{{m}^{2}}\] and thickness 0.5 mm. If the concentration of electrons in Ge is \[2\times {{10}^{19}}/{{m}^{2}}\] and mobilitys of electrons and holes are \[\text{0}\text{.36 }{{\text{m}}^{\text{2}}}{{\text{V}}^{\text{-1}}}{{\text{s}}^{\text{-1}}}\]and \[\text{0}\text{.14 }{{\text{m}}^{\text{2}}}{{\text{V}}^{\text{-1}}}{{\text{s}}^{\text{-1}}}\]respectively, then the current flowing through the plate will be
question_answer40) Two light rays having the same wavelength \[\lambda \] in vacuum are in phase initially. Then the first ray travels a path \[{{l}_{1}}\] through a medium of refractive index \[{{n}_{1}}\] while the second ray travels a path of length \[{{l}_{2}}\] through a median of refractive index\[{{n}_{2}}\]. The two waves are then combined to observe interference. The phase difference between the two waves is
question_answer44) For a reaction of type \[A+B\xrightarrow{{}}\] products, it is observed that doubling concentration of A causes the reaction rate to be four times as great, but doubling amount of B does not affect the rate. The unit of rate constant is
question_answer45) A chemical reaction was carried out at 320 K and 300 K. The rate constants were found to be \[{{k}_{1}}\] and \[{{k}_{2}}\] respectively. Then
question_answer53) For the reaction, \[2A(g)+{{B}_{2}}(g)2A{{B}_{2}}(g)\] the equilibrium constant, \[{{K}_{p}}\] at 300 K is 16.0. The value of \[{{K}_{p}}\] for \[A{{B}_{2}}(g)A(g)+1/2{{B}_{2}}(g)\]
question_answer77) The activity of an old piece of wood is just 25% of the fresh piece of wood. If \[{{t}_{1/2}}\] of C-14 is 6000 yr, the age of piece of wood is
question_answer78) The radius of \[N{{a}^{+}}\] is 95 pm and that of \[C{{l}^{-}}\] ion is 181 pm. Hence, the coordination number of \[N{{a}^{+}}\] will be
question_answer92) The chances of defective screws in three boxes A, B, C are \[\frac{1}{5},\frac{1}{6},\frac{1}{7}\]respectively. A box is selected at random and a screw drawn from it at random is found to be defective, Then, the probability that it came from box A, is
question_answer98) The line joining (5, 0) to \[(10\,\cos \theta ,\,10\sin \theta )\] is divided internally in the ratio 2 : 3 at P. If \[\theta \]varies, then the locus of P is
question_answer105) The equation of the common tangents to the two hyperbolas \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]and \[\frac{{{y}^{2}}}{{{a}^{2}}}-\frac{{{x}^{2}}}{{{b}^{2}}}=1,\]are
question_answer113) If \[\overrightarrow{a}=2\hat{i}+2\hat{j}+3\hat{k},\] \[\overrightarrow{b}=-\hat{i}+2\hat{j}+\hat{k}\] and \[\overrightarrow{c}=3\hat{i}+\hat{j},\] then \[\overrightarrow{a}+t\,\overrightarrow{b}\] is perpendicular to \[\overrightarrow{c},\]if t is equal to
question_answer114) The distance between the line \[\overrightarrow{r}=2\hat{i}-2\hat{j}+3\hat{k}+\lambda (\hat{i}-\hat{j}+4\hat{k})\] and the plane \[\overrightarrow{r}\cdot (\hat{i}+5\hat{j}+\hat{k})=5,\]is
question_answer115) The equation of sphere concentric with the sphere \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-5=0\]and which passes through the origin is
question_answer116) If the lines \[\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}\] and \[\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}\] intersect, then the value of k, is
question_answer119) If two circles \[2{{x}^{2}}+2{{y}^{2}}-3x+6y+k=0\] and \[{{x}^{2}}+{{y}^{2}}-4x+10y+16=0\] cut orthogonally, then the value of k is