VIT

Engineering Entrance Exam

Solved Paper-2013

Physics

1. Two balls of equal masses are thrown upwards along the same vertical direction at an interval of 2s, with the same initial velocity of 39.2 m/s. The two balls will collide at a height of

(a) 39.2 m

(b) 73.5 m

(d) 117.6 m

Ans: (b)

2. The dimensional formula of magnetic flux is

(a)

(b)

(c)

(d)

Ans: (b)

3. The time dependence of a physical quantity P is given by P = P₀ eα P(−αt²), where α is a constant and t is time. The constant α

(a) is dimensionless

(b) has dimensions of P

(c)

(d)

Ans: (c)

4. If the potential energy of a gas molecule is M and N being positive constants, then the pote4ntial energy at equilibrium must be

(a)

(b)

(c)

(d)

Ans: (d)

5. A table fan rotating at a speed of 2400 rpm is switched off and the resulting variation of the revolution/minute with time is shown in figure. The total number of revolutions of the fan before it comes to rest is

(a) 160

(b) 280

(d) 420

Ans: (b)

6. In the adjoining figure, the position time graph of a particle of mass 0.1 kg is shown. The impulse at t = 2s is

(a) 0.02 kg m/s

(b) 0.1 kg m/s

(d) 0.4 kg m/s

Ans: (c)

7. The pressure on a square plate is measured by measuring the force on the plate and the length of sides of the plate. If the maximum error in measurement of force and length are respectively 4% and 2%, then the maximum error in the measurement of pressure of

(a) 1%

(b) 2%

(d) 8%

Ans: (d)

8. The centre of a wheel rolling on a plane surface moves with a speed υ₀. A particle on the rim of the wheel at the same level as the centre will be moving at speed

(a) zero

(b) v₀

(d) √2v₀

Ans: (d)

9. A body of mass 5 m initially at rest explodes into 3 fragments with mass ratio 3:1:1. Two of fragments each of mass ‘m’ are found to move with a speed of 60 m/s is mutually perpendicular directions. The velocity of third fragment is

(a) 10√2

(b) 20√2

(d) 60√2

Ans: (b)

10. A body of mass 2 kg moving with velocity of 6 m/s strikes in elastically with another body of same mass at rest. The amount of heat evolved during collision is

(a) 18 J

(b) 36 J

(d) 3 J

Ans: (a)

11. Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is

(a)

(b)

(c)

(d)

Ans: (a)

12. Four equal charges Q each are placed at four corners of a square of side α each. Work done in carrying a charge –q from its centre to infinity is

(a)

(b)

(c)

(d)

Ans: (d)

13. A network of resistances, cell and capacitor C(= 2 μF) is shown in adjoining figure. In steady state condition, the charge on 2 μF capacitor is Q, while R is unknown resistance. Values of Q and R are respectively

(a) 4 μC and 10 Ω

(b) 4 μC and 4 Ω

(d) 8 μC and 14 Ω

Ans: (a)

14. As the electron in Bohr’s orbit of hydrogen atom passes from state n = 20 to , n = 1, the KE (K) and the potential energy (U) changes as

(a) K four fold, U also four fold

(b) K two fold, V also two fold

(d) K two fold, U four fold

Ans: (a)

15. To get an OR gate from a NAND gate, we need

(a) Only two NAND gates

(b) Two NOT gates obtained from NAND gates and one NAND gate

(d) None of the above

Ans: (b)

16. If a current I is flowing in a loop of radius r as shown in adjoining figure, then the magnetic field induction ate the centre O will be

(a)

(b)

(c)

(d)

Ans: (b)

17. Two identical magnetic dipoles of magnetic moment 0.1 Am² each, placed at a separation of 2 m with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

(a)

(b)

(c)

(d)

Ans: (a)

18. The natural frequency of the circuit shown in adjoining figure is

(a)

(b)

(c)

(d)

Ans: (a)

19. A lead shot of 1 m diameter falls through a long column of glycerin. The variation of the velocity υ with distance covered (s) is correctly represented by

(a)

(b)

(c)

(d)

Ans: (a)

20. If ε₀ and μ₀ represent the permittivity and permeability of vacuum and ε and μ represent the permittivity and permeability of medium, then refractive index of the medium is given by

(a)

(b)

(c)

(d)

Ans: (b)

21. A student plots a graph between inverse of magnification 1/m produced by a convex thin lens and the object distance u as shown in figure. What was the focal length of the lens used?

(a) b/ca

(b) bc/a

(d) b/c

Ans: (c)

22. Two waves y₁ = A₁sin(ωt – β₁) and y₂A₂ sin(ωt – β₂) superimpose to form a resultant wave whose amplitude

(a)

(b)

(c)

(d)

Ans: (d)

23. When a certain metallic surface is illuminated with monochromatic light of wavelength λ, the stopping potential for photoelectric current 3 V₀. When the same surface is illuminated with a light of wave length 2λ, the stopping potential is V₀. The threshold wavelength for this surface to photoelectric effect is

(a) 4 λ

(b) 6 λ

(d)

Ans: (a)

24. In the V-T diagram shown in adjoining figure, what is the relation between p₁ and p₂?

(a)

(b)

(c)

(d)

Ans: (b)

25. If a gas mixture contains 2 moles of O₂ and 4 moles of Ar at temperature T, then what will be the total energy of the system (neglecting all vibrational modes)

(a) 11 RT

(b) 15 RT

(d) RT

Ans: (a)

26. In the adjoining figure, two pulses in a stretched string are shown. If initially their centres are 8 cm apart and they are moving towards each other, with speed of 2 cm/s, then total energy of the pulses after 2 s will be

(a) zero

(b) purely kinetic

(d) partly kinetic and partly potential

Ans: (b)

27. When two waves of almost equal frequency n₁ and n₂ are produce simultaneously, then the time interval between successive maxima is

(a)

(b)

(c)

(d)

Ans: (d)

28. A long glass capillary tube is dipped in water. It is known that water wets glass. The water level rises by h in the tube. The tube is now pushed down so that only a length h/2 is outside the water surface. The angle of contact at the water surface at the upper end of the tube will be

(a)

(b) 60°

(d) 15°

Ans: (b)

29. In the adjoining circuit, if the reading of voltmeter V₁ and V₂ are 300 volts each, then the reading voltmeter V₃ and ammeter A are respectively

(a) 220 V, 2.2 A

(b) 100 V, 2.0 A

(d) 100 V, 2.2 A

Ans: (a)

30. If the work done in turning a magnet of magnetic moment M by an angle of 90° from the magnetic meridian is n times the corresponding work done to turn it through an angle of 60°, then value of n is

(a) 1

(b) 2

(d) 1/4

Ans: (b)

31. The capacitance of a parallel plate capacitor with air as dielectric is C. If a slab of dielectric constant K and of the same thickness as the separation between the plates is introduced so as to fill 1/4^th of the capacitor (shown in figure, then the new capacitance is

(a)

(b)

(c)

(d)

Ans: (b)

32. Seven resistances are connected between points A and B as shown in adjoining figure. The equivalent resistance between A and B is

(a) 5 Ω

(b) 4.5 Ω

(d) 3 Ω

Ans: (c)

33. The amplitude of an electromagnetic wave in vacuum is doubled with no other changes made to the wave. As a result of this doubling of the amplitude, which of the following statement is correct?

(a) The frequency of the wave changes only

(b) The wave length of the wave changes only

(d) Alone of the Above is correct

Ans: (d)

34. An element with atomic number Z = 11 emits K_α – X ray of wavelength λ. The atomic number of element which emits K_α – X-ray of wavelength 4λ is

(a) 4

(b) 6

(d) 44

Ans: (b)

35. Motilities of electrons and holes in a sample of intrinsic germanium at room temperature are 0.36 m² V⁻¹s⁻¹ and 0.17 m²V⁻¹s⁻¹. The electron and hole densities are each equal to 2.5 × 10¹⁹ m³. The electrical conductivity of germanium is

(a) 4.24 Sm⁻¹

(b) 2.12 Sm⁻¹

(d) 0.47 Sm⁻¹

Ans: (b)

36. If a radio-receiver amplifiers all the signal frequencies equally well, it is said to have high

(a) sensitivity

(b) selectivity

(d) fidelity

Ans: (d)

37. If a progressive wave is represented as

where x is in meter and t is in second, then the distance travelled by the wave in 5 s is

(a) 5 m

(b) 10 m

(d) 32 m

Ans: (b)

38. The gravitational potential at a place varies inversely with x²(i.e., V = k/x²), the gravitational field at that place is

(a) 2k/x³

(b) −2k/x³

(d) −k/x

Ans: (a)

39. A copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm are connected end to end. When stretched by a force, the elongation in length 0.50 mm is produced in the copper wire. The stretching force is

(Y_Cu = 1.1 × 10¹¹ N/m², Y_steel = 2.0 × 10¹¹ N/m²

(a) 5.4 × 10² N

(b) 3.6 × 10² N

(d) 1.8 × 10² N

Ans: (d)

40. If υ_rms and υ_p represent the mean speed, root mean square and most probable speed of the molecules in an ideal monoatomic gas at temperature T and if m is mass of the molecule, then

(a)

(b) no molecule can have speed greater than

(d) None of the above

Ans: (a)

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