Karnataka CET- 2013(Physics)

Question 1 of 48

1. Question

Which of the following is NOT correct?

Dimensional formula of thermal conductivity (K) is M¹L¹T^-3K^-1
Dimensional formula of potential (V) is M¹L²T³A^-1
Dimensional formula of permeability of free space (m₀) is M¹L¹T^-2A^-2

Question 2 of 48

2. Question

In a lift moving up with an acceleration of 5 ms^-2, a ball is dropped from a height of 1.25m. The time taken by the ball to reach the floor of the lift is ______(nearly) (g = 10 ms^-2)

0.3 second
0.2 second
0.16 second
0.4 second

Question 3 of 48

3. Question

A gun fires a small bullet with kinetic energy K. Then Kinetic energy of the gun while recoiling is

K
More than K
Less then K
√K

Question 4 of 48

4. Question

A truck accelerates from the speed ‘v’ to ‘2v’. Work done in during this is

Three times as the work done in accelerating it from rest to ‘v’
Same as the work done in accelerating it from rest to ‘v’
Four times as the work done in accelerating it from rest to ‘v’
Less than the work done in accelerating it from the rest to ‘v’

Question 5 of 48

5. Question

A projectile is projected at 10 ms^-1 by making at an angle 60^o to the horizontal. After some time its velocity makes an angle of 30^o to the horizontal. Its speed at this instant is

10/√3
10√3
5/√3
5√3

Question 6 of 48

6. Question

For which combination of working temperatures of source and sink, the efficiency of Carnot’s heat engine is maximum?

600K, 400K
400K, 200K
500K, 300K
300K, 100K

Question 7 of 48

7. Question

A solid cylinder of radius R made of an material of thermal conductivity K₁ is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K₂. The two ends of the combined system are maintained at two different temperatures. Then there is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is

K₁+K₂
K₁K₂/(K₁+K₂)
(3K₁+K₂)/4
(K₁+3K₂)/4

Question 8 of 48

8. Question

Two stars A and B radiate maximum energy at the wavelengths of 360 nm and 480 nm respectively. Then the ratio of the surface temperatures of A and B is

3 : 4
81 : 256
4 : 3
256 : 81

Question 9 of 48

9. Question

Two solids P and Q float in water. It is observed that P floats with half of its volume immersed and Q floats with 2/3^rd of its volume is immersed. The ratio of densities of P and Q is

4/3
3/4
2/3
3/2

Question 10 of 48

10. Question

The equation of a transverse wave is given by y = 0.05 sin π(2t – 0.02x), where x,y are in meter and t is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively ______

50 m, 50 ms^-1
100 m, 100 ms^-1
50 m, 100 ms^-1
100 m, 50 ms^-1

Question 11 of 48

11. Question

The frequency of the second overtone of the open pipe is equal to the frequency of the first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is

2 : 1
1 : 2
1 : 3
3 : 1

Question 12 of 48

12. Question

A person with vibrating tuning fork of frequency 338 Hz is moving towards a vertical wall with a speed of 2 ms^-1. Velocity of the sound in air is 340 ms^-1. The number of beats heard by that person per second is

2
4
6
8

Question 13 of 48

13. Question

Pick out the WRONG statement from the following :

Lateral shift increases as the angle of incidence increases
Lateral shift increases as the value of refractive index increases.
Normal shift decreases as the value of refractive index increases.
Both normal shift and lateral shift are directly proportional to the thickness of the medium

Question 14 of 48

14. Question

The distance between an object and its real image produced by a converging lens is 0.72 m. The magnification is 2. What will be the magnification when the object is moved by 0.04 m towards the lens?

2
4
3
6

Question 15 of 48

15. Question

The speed of light in media M₁ and M₂ are 1.5 × 10⁸ ms^-1 and 2 × 10⁸ ms^-1 A ray travels from medium M₁ to the medium M₂ with an angle of incidence θ. The ray suffers total internal reflection. The the value of the angle of incidence θ is

> Sin^-1(3/4)
< Sin^-1(3/4)
= Sin^-1(4/3)
≤ Sin^-1(3/4)

Question 16 of 48

16. Question

Which of the following phenomena support the wave theory of light?

Scattering
Interference
Diffraction
Velocity of light in a denser medium is less than the velocity of the light in the rarer medium

a, b, c
a, b, d
b, c, d
a, c, d

Question 17 of 48

17. Question

White light reflected from a soap film (Refractive Index = 1.5) has a maxima at 600 nm and a minima at 450 nm with no minimum in between. Then the thickness of the film is _____ × 10^-7

1
2
3
4

Question 18 of 48

18. Question

A cylindrical tube of length 0.2 m and radium R with sugar solution of concentration “C” produce a rotation of θ in the place of vibration of a plane polarized light. The same sugar solution is transferred to another tube of length 0.3 m of same radium. The remaining gap is filled by distilled water. Now the optical rotation produced is

θ
2(θ/3)
3(θ/2)
9(θ/4)

Question 19 of 48

19. Question

Radii of curvature of a converging lens are in the ratio 1 : 2. Its focal length is 6 cm and refractive index is 1.5. Then its radii of curvature are ______ respectively.

9 cm and 18 cm
6 cm and 12 cm
3 cm and 6 cm
4.5 cm and 9 cm

Question 20 of 48

20. Question

A small oil drop of mass 10^-6 kg is hanging in at rest between two plates separated by 1 mm having a potential difference of 500 V. The charge on the drop is _____ (g = 10 ms^-2)

2 × 10^-9 C
2 × 10^-11 C
2 × 10^-6 C
2 × 10^-8 C

Question 21 of 48

21. Question

Two metal spheres of radii 0.01 m and 0.02 m are given a charge of 15 mC and 45 mC respectively. They are then connected by a wire. The final charge of the first sphere is ____ × 10^-3

40
30
20
10

Question 22 of 48

22. Question

Two concentric spheres of radii R and r have positive charges q₁ and q₂ with equal surface charge densities. What is the electric potential at their common centre?

σ/ϵ₀ (R+r)
σ/ϵ₀ (R-r)
σ/ϵ₀ [(1/R) + (1/r)]
σ/ϵ₀ (R/r)

Question 23 of 48

23. Question

when an additional charge of 2 C is given to a capacitor, energy stored in it is increased by 21%. The original charge of the capacitor is

30 C
40 C
10 C
20 C

Question 24 of 48

24. Question

Masses of three wires of copper are in the ratio 1 : 3 : 5 and their lengths are in the ratio of 5 : 3 : 1. The ratio of their electrical resistances is

1 : 3 : 5
5 : 3 : 1
1 : 15 : 125
125 : 15 : 1

Question 25 of 48

25. Question

For a transformer, the turns ratio is 3 and its efficiency is 0.75. The current flowing in the primary coil is 2 A and the voltage applied to it is 100 V. Then the voltage and the current flowing in the secondary coil are ______ respectively.

150 V, 1.5 A
300 V, 0.5 A
300 V, 1.5 A
150 V, 0.5 A

Question 26 of 48

26. Question

A proton and helium nucleus are shot into a magnetic field at right angles to the field with same kinetic energy. The the ratio of their radii is

1 : 1
1 : 2
2 : 1
1 : 4

Question 27 of 48

27. Question

Two identical circular coils A and B are kept on a horizontal tube side by side without touching each other. If the current in the coil A increases with time, in response, the coil B

Is attracted by A
Remains stationary
Is repelled
Rotates

Question 28 of 48

28. Question

A charged particle with a velocity 2 × 10³ ms^-1 passes undetected through electric field and magnetic fields in mutually perpendicular directions. The magnetic field is 1.5 T. The magnitude of electric field will be

1.5 × 10³ NC^-1
2 × 10³ NC^-1
3 × 10³ NC^-1
1.33 × 10³ NC^-1

Question 29 of 48

29. Question

In R-L-C series circuit, the potential differences across each element is 20 V. Now the values of the resistance alone is doubles is doubled, then P.D. across R, L and C respectively

20 V, 10 V, 10 V
20 V, 20 V, 20 V
20 V, 40 V, 40 V
10 V, 20 V, 20 V

Question 30 of 48

30. Question

A series combination of resistor (R), capacitor (C) is connected to an A.C. source of angular frequency “ω”. Keeping the voltage same, if the frequency is changed to ω/3, the current becomes half of the original current. Then the ratio of the capacitive reactance and resistance at the former frequency is

√0.6
√3
√2
√6

Question 31 of 48

31. Question

Pick out the wrong statement from the following :

Mercury vapour lamp produces line emission spectrum.
Oil flame produces line emission spectrum
Band spectrum helps us to study molecular structure.
Sunlight spectrum is an example for line absorption spectrum

Question 32 of 48

32. Question

Light emitted during the de-excitation of electron from n = 3 to n = 2, when incident on a metal, photoelectrons are just emitted from the metal. In which of the following deexcitations photoelectric effect is not possible?

From n = 2 to n = 1
From n = 3 to n = 1
From n = 5 to n = 2
From n = 4 to n = 3

Question 33 of 48

33. Question

The additional energy that should be given to an electron to reduce its de-Broglie wavelength from 1 nm to 0.5 nm is

2 times the initial kinetic energy
3 times the initial kinetic energy
0.5 times the initial kinetic energy
4 times the initial kinetic energy

Question 34 of 48

34. Question

The ionization energy of an electron in the ground state of helium atom is 24.6 eV. The energy required to remove both the electron is

51.8 eV
79 eV
38.2 eV
49.2 eV

Question 35 of 48

35. Question

_____________ 3E
_______________ 5E/3
_______________ E

The figure show the energy level of certain atom. When the electron deexcites from 3E to E, an electromagnetic wave of wavelength λ is emitted. What is the wavelength of the electromagnetic wave emitted when the electron deexcites from 5E/3 to E?

3 λ
2 λ
5 λ
3λ/5

Question 36 of 48

36. Question

Maximum velocity of the photoelectron emitted by a metal is 1.8 × 10⁶ ms^-1. Take the value of specific charge of the electron is 1.8 × 10¹¹ C kg^-1. Then the stopping potential in volt is

1
3
9
6

Question 37 of 48

37. Question

λ₁ and λ₂ are used to illuminate the slits. β₁ and β₂ are the corresponding fringe widths. The Wavelength λ₁ can produce photoelectric effect when incident on a metal. But the wavelength λ₂ cannot photoelectric effect. The correct relation between β₁ and β₂ is

β₁ < β₂
β₁ = β₂
β₁ > β₂
β₁ ≥ β₂

Question 38 of 48

38. Question

Pick out the correct statement/s from the following :

Electron emission during β-decay is always accompanies by neutrino.
Nuclear force is charge independent.
Fusion is the chief source of stellar energy

a & b are correct
a and c are correct
only a is correct
b and c are correct

Question 39 of 48

39. Question

A nucleus _ZX^A emits an α-particle with velocity v. The recoil speed of the daughter nucleus is

(A-4)/4v
4v/(A-4)
v
v/4

Question 40 of 48

40. Question

A radioactive substance emits 100 beta particles in the first 2 seconds and 50 beta particles in the next 2 seconds. The mean life of the sample is

4 seconds
2 seconds
2/0.693 seconds
2 × 0.693 seconds

Question 41 of 48

41. Question

In which of the following statements, the obtained impure semiconductor is of p-type?

Germanium is doped with bismuth
Silicon is doped with antimony
Germanium is doped with gallium
Silicon is doped with phosphorus

Question 42 of 48

42. Question

The width of the depletion region in a P-N junction diode is

Increased by reverse bias
Increased by forward bias
Decreased by reverse bias
Independent of the bias voltage

Question 43 of 48

43. Question

When the transistor is used as an amplifier

Emitter-base junction must be reverse biased, Collector-base junction must be forward biased
Emitter-base junction must be forward biased, Collector-base junction must be forward biased
Emitter-base junction must be reverse biased, Collector-base junction must be reverse biased
Emitter-base junction must be forward biased, Collector-base junction must be reverse biased

Question 44 of 48

44. Question

Which of the following is not made by quarks?

Neutron
Positron
Proton
π-meson

Question 45 of 48

45. Question

Which one of the following is NOT correct?

In forward biased condition diode conducts.
If the packing fraction is negative, the element is stable
Binding energy is the energy equivalent to mass defect
Radioactive element can undergo spontaneous fission

Question 46 of 48

46. Question

The output of an OR gate is connected to both the inputs of a NAND gate. The combination will serve as

AND gate
NOT gate
NAND gate
NOR gate

Question 47 of 48

47. Question

A and B are the two radioactive elements. The mixture of these elements show a total activity of 1200 disintegrations/minute. The half life of A is 1 day and that of B is 2 days. What will be the total activity after 4 days? Given : The initial number of atoms in A and B are equal.

200 dis/min
250 dis/min
500 dis/min
150 dis/min

Question 48 of 48

48. Question

The binding energy/nucleon of deuteron (₁H²) and the helium atom (₂He⁴) are 1.1 MeV and 7 MeV respectively. If the two deuteron atoms fuse to form a single helium atom, then the energy released is

26.9 MeV
25.8 MeV
23.6 MeV
12.9 MeV

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