VITEE-2016 Solved Paper
PART I – PHYSICS
1. The potential energy of a system increases if work is done
(a) upon the system by a non conservative force
(b) by the system against a conservative force
(c) by the system against a non conservative force
(d) upon the system by a conservative force
2. In photoelectric effect, initially when energy of electrons emitted is E0, de-Broglie wavelength associated with them is λ0. Now, energy is doubled then associated de-Broglie wavelength λ’ is
(a) 
(b) 
(c) 
(d) 
3. In Wheatstone bridge, 4 resistors P = 10 Ω, Q = 5Ω, R = 4Ω, S = 4Ω are connected in cyclic order. The ensure no current through galvanometer.
(a) 5Ω resistance is connected in series with Q
(b) 4Ω resistance is connected parallel to S
(c) 10Ω resistance in connected in series with P
(d) 4Ω resistance is connected in series with R
4. In given circuit, C1 = C2 = C3 = initially. Now, a dielectric slab of dielectric constant K = 3/2 is inserted in C2.
The equivalent capacitance become
(a) 5C/7
(b) 7C/5
(c) 2C/3
(d) C/2
5. If the terminal speed of a sphere of gold(density = 19.5 kg/m3) is 0.2 m/s in a viscous liquid (density = 1.5 kg/m3), find the terminal speed of a sphere of silver (density = 10.5 kg/m3) of the same size in the same liquid
(a) 0.4 m/s
(b) 0.133 m/s
(c) 0.1 m/s
(d) 0.2 m/s
6. In shown fig, the circular loop of wire is moved with velocity towards the infinite current carrying wire. Then
(a) no current is induced in loop
(b) current in induced in loop clockwise
(c) current is induced in loop anticlockwise
(d) extra charges are induced on the wire loop
7. For a current carrying inductor, emf associated is 20 mV. Now, current through its changes from 6A to 2A in 2s. The coefficient of mutual inductance is
(a) 20 mH
(b) 10 mH
(c) 1 mH
(d) 2 mH
8. A square current carrying loop is changed to a circular loop in time t1. Then
(a) emf is induced in loop for time t < t1
(b) emf is induced in loop for time t > t1
(c) no emf is induced in loop during whole process
(d) emf is induced due to change in magnetic field
9. Hologram is based on phenomenon of
(a) diffraction
(b) polarization
(c) interference
(d) total internal reflection
10. In given circuit, all resistances are of 10Ω. Current flowing through ammeter is
(a) 3.6 A
(b) 1.8 A
(c) 2 A
(d) 1 A
11. The wavelength of an electron for transition from a state n1 to n2 is 9/8R. Which of the following wavelengths is possible for a transition from n2 to n1
(a) 
(b) 
(c) 
(d) 
12. Two sclenoids are given – 1st has 1 turn per unit length and 2nd has n turns per u nit length. Ratio of magnetic fields at their centres is
(a) n : 1
(b) 1 : n
(c) 1 : n2
(d) n2 : 1
13. Which statement is correct for the given circuit?
(a) I through R1 > I through R2
(b) I through R3 > I through R2 and R1
(c) I through R2 > I through R3 and R1
(d) I is same in R1, R2 and R3
14. A (+)vely charged particle is placed near an infinitely long straight conductor where there is zero gravity. Then
(a) the charged particle will not move
(b) it will move parallel to the straight conductor
(c) it will move perpendicular to the straight conductor
(d) it will move with constant acceleration
15. A metallic bar is heated from 0℃ to 100℃. The coefficient of linear expansion is 10−5K−1. What will be the percentage increase in length?
(a) 0.01%
(b) 0.1%
(c) 1%
(d) 10%
16. If the wavelength is brought down from 6000 Å o 4000 Å in a photoelectric experiment then what will happen?
(a) The work function of the metal will increase
(b) The threshold frequency will decrease
(c) No change will take place
(d) Cut off voltage will increase
17. For what value of A, B and C, the output Y = 1
(a) 0 0 1
(b) 1 0 1
(c) 1 0 0
(d) 0 1 0
18. Let the energy of an emitted photoelectron be E and the wave-length of incident light be λ. What will be the change in E if λ is doubled?
(a) E
(b) E/2
(c) 2E
(d) E/4
19. A solid sphere of radius R carries a uniform volume charge density ρ. The magnitude of electric field inside the sphere at a distance r from the centre is
(a) 
(b) 
(c) 
(d) 
20. Two points dipoles 
are located at (0, 0, 0) and (1m, 0, 2m) respectively. The resultant electric field due to the two dipoles at the point (1m, 0, 0) is
(a) 
(b) 
(c) 
(d) 
21. An iron rod of length 2m and cross-sectional area of 50 mm2 stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young’s modulus of iron rod is
(a) 19.6 × 1020 N/m2
(b) 19.6 × 1018 N/m2
(c) 19.6 × 1010 N/m2
(d) 19.6 × 1015 N/m2
22. Two resistances equal at 0℃ with temperature coefficient of resistance α1 and α2 joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be
(a) 
(b) 
(c) 
(d) 
23. The current density varies with radial distance r as J = ar2, in a cylindrical wire of radius R. the current passing through the wire between radial distance R/3 and R/2 is
(a) 
(b) 
(c) 
(d) 
24. A potentiometer circuit shown in the figure is set up to measure emf of cell E. As the point P moves from X to Y, the galvanometer G shows deflection always in the one direction, but the deflection decrease continuously until Y is reached. The balance point between X and Y may be obtained by
(a) decreasing the resistance R and decreasing V
(b) decreasing the resistance R and increasing V
(c) increasing the resistance R and increasing V
(d) increasing the resistance R and decreasing V
25. A current I flows in the anticlockwise direction through a square loop of a side lying in the xoy plane with center at the origin. The magnetic induction at the center of the square loop is
(a) 
(b) 
(c) 
(d) 
26. A particle charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment of that of its angular momentum depends on
(a) ω and q
(b) ω, q and m
(c) q and m
(d) ω and m
27. A long straight wire of radius R carries current i. The magnetic field inside the wire at distance r from its centre is expressed as :
(a) 
(b) 
(c) 
(d) 
28. If i1 = 3 sin ωt and i2 = 4 cos ωt, then i3 is
(a) 5 sin(ωt + 53°)
(b) 5 sin(ωt + 37°)
(c) 5 sin(ωt + 45°)
(d) 5 cos(ωt + 53°)
29. The equation of AC voltage is E = 220 in (ωt + π/6) and the A.C. current is I = 10 sin (ωt + π/6). The average power dissipatred is
(a) 150 W
(b) 550 W
(c) 250 W
(d) 50 W
30. The current in an L-R circuit builds up to (3/4)th of its steady state value in 4 seconds. The time constant of this circuit is
(a) 
(b) 
(c) 
(d) 
31. The magnetic flux in a closed circuit of resistance 10Ω varies with time as ϕ = (2t – 4t2 + 1). The current in the loop will change its direction after a time of
(a) 0.25 sec
(b) 0.5 sec
(c) 1 sec
(d) none
32. 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, the radius of this circle (in cm) is
(a) 36√5
(b) 4√5
(c) 36√7
(d) 36/√7
33. A metal ball of mass 2 kg moving with a velocity of 36 km/h has a head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together,, the loss in kinetic energy due to collision is
(a) 140 J
(b) 100 J
(c) 60 J
(d) 40 J
34. Two lenses of focal length f1 = 10 cm and f2 = −20 cm are kept as shown. The resultant power of combination will be
(a) −10D
(b) 5D
(c) 0
(d) 10D
35. When a plastic thin film of refractive index 1.45 is placed in the path of one of the interfering waves then the central fringe is displaced through width of five fringes. The thickness of the film, if the wavelength of light is 5890Å, will be
(a) 6.544 × 10−4 cm
(b) 65.44 × 10−4 cm
(c) 6.54 × 10−4 cm
(d) 6.5 × 10−4 cm
36. An unpolarised beam intensity I0 is incident on a pair of nicols making an angle of 60° with each other. The intensity of light emerging from the pair is
(a) I0
(b) I0/2
(c) I0/4
(d) I0/8
37. The half life of radioactive Radon is 3.8 days. The time at the end of which 1/20th of the radon sample will remain undecayed is (given log10 e = 0.4343)
(a) 3.8 days
(b) 16.5 days
(c) 33 days
(d) 76 days
38. If the nuclear radius of 27Al is 3.6 Fermi, the approximate nuclear radius of 64Cu in Fermi is
(a) 4.8
(b) 3.6
(c) 2.4
(d) 1.2
39. A hydrogen atom is in an excited state of principal quantum number (n), it emits a photon of wavelength (λ), when it returns to the ground state. The value of n is
(a) 
(b) 
(c) 
(d) 
40. A marbles block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10 s. Then the coefficient of friction is (Take g = 10 ms−2)
(a) 0.06
(b) 0.03
(c) 0.04
(d) 0.01
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