Super 30 Entrance Exam – Online Practice Test

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1. Fermi is a unit of...

A. length

B. mass

C. time

D. electric flux

2. The horizontal component of a force of 10 N inclined at 30° to the vertical is...

A. 5 N

B. 5√ 3 N

C. 3 N

D. 10/√ 3 N

3. The acceleration due to gravity on Mars is 3.7 m/s² . Compared with her mass and weight on the earth, an astronaut on Mars has...

A. less mass and less weight

B. more mass and more weight

C. the same mass and less weight

D. the same mass and more weight

4. To keep a vehicle moving at the speed v requires a force F. The power needed is...

A. F.v

B. (1/2)F.v²

C. F/v

D. F/v²

5. When the velocity of a moving object is doubled...

A. its acceleration is doubled

B. its momentum is doubled

C. its kinetic energy is doubled

D. its potential energy is doubled

6. The intermolecular potential is dependent on...

A. the shape of the molecules only

B. the molecular separation only

C. both the shape and the molecular separation

D. none of the above

7. A cable stretches by amount 'a' under a certain load. If it is replaced by a cable of the same material but half as long and half the diameter, the same load will stretch it by...

A. a/4

B. a/2

C. a

D. 2a

8. A certain person's heart beats 1.2 times per second and pumps 1.0 x10^-4m³ of blood per beat against an average pressure of 14 kPa. The power output of the heart is...

A. 1.2 W

B. 1.4 W

C. 1.7 W

D. 12 W

9. At which of the following temperatures would the molecules of a gas have twice the average kinetic energy they have at 20 °C

A. 40 °C

B. 80 °C

C. 313 °C

D. 586 °C

10. For monatomic gases, C_p/C_vis equal to...

A. 1.67

B. R

C. 1.67 R

D. 1.5 R

11. Of the following the one that is a vector is...

A. electric charge

B. electric field

C. electric energy

D. potential difference

12. Diamagnetic materials are substances that...

A. create a strong magnetic field

B. are attracted by a magnetic field

C. are repelled by a magnetic field

D. have double magnetism

13. When a ferromagnet is inserted in a current-carrying loop, the magnetic field...

A. decreases slightly

B. decreases greatly

C. does not change

D. increases greatly

14. A light ray passes through a prism with an angle of incidence θ, an angle of deviation δ and an angle of emergence ε. Minimum deviation occurs when...

A. δ = θ

B. δ = ε

C. θ = ε

D. δ = θ - ε

15. The image a camera forms on the film is...

A. always real

B. always virtual

C. always erect

D. sometimes inverted

16. If for the planets in solar system, r is the radius of the orbit and T is the periodic time, then the ratio r³ /T² is...

A. 1

B. same for all planets

C. more for farther planets

D. less for farther planets

17. A boy swings from a rope 4.9 m long. His approximate period of oscillation is...

A. 0.5 s

B. 3.1 s

C. 4.4 s

D. 12 s

18. The primary effect when the source is moving is a change in...

A. frequency

B. amplitude

C. wavelength

D. both frequency and amplitude

19. The distance between a node and the immediate next antinode is...

A. λ

B. λ/2

C. λ/3

D. λ/4

20. A thin ring has mass M and radius R. Its moment of inertia about the axis passing through its center and perpendicular to its plane is...

A. MR²

B. M²R

C. M/R²

D. M²/R

21. Two satellites have periods P₁and P₂, respectively. Their heights above the surface of the earth are h₁ and h_2,respectively. If h₁ > h₂, then...

A. P₁ > P₂

B. P₁ = P₂

C. P₁< P₂

D. P₁² > P₂ ²

22. A projectile is thrown in the direction making an angle θ with the horizontal. The projectile attains maximum height for θ equal to...

A. 0

B. π/4

C. π/2

D. π

23. A Carnot engine operates between 800K and 200K. If it absorbs 8 kJ of heat in each cycle, the work done by it per cycle is...

A. 1 kJ

B. 2 kJ

C. 2.7 kJ

D. 6 kJ

24. In a uniform segment of a circuit the current is proportional to the...

A. density of the segment

B. resistance of the segment

C. volume of the segment

D. potential difference at its ends

25. To charge a secondary cell, what is needed is...

A. a d.c. current

B. an a.c. current

C. fresh electrolyte

D. heating

26. Two parallel wires carry current in the same direction,...

A. they attract each other

B. they repel each other

C. they neither attract nor repel

D. they attract or repel depending on current type

27. If the maximum value of the induced e.m.f. is V_mand maximum r.m.s. current is √ 2 ampere for an a.c. circuit with resistance R, then the value of V_min volt is equal to...

A. 2R

B. R

C. 1/R

D. √ 2/R

28. The wavelength of light plays no role in...

A. interference

B. diffraction

C. resolving power

D. polarization

29. The value of the stopping potential depends on...

A. the intensity of light

B. the frequency of light

C. the metal surface area

D. the charge on the electron

30. The only atom which has no neutron in the nucleus is...

A. hydrogen

B. helium

C. oxygen

D. polonium

31. A Student measured the length of a rod and wrote it as 3.50cm. Which instrument did he use to measure it

1) A meter scale

2) A vernier callipers where the ‘10’ divisions in vernier scale matches with 9 divisions main scale and main scale has 10 divisions in ‘1 cm’

3) A screw gauge having 100 divisions in the circular scale and pitch as ‘1mm’

4) A screw gauge having 50 divisions in the circular scale and pitch as ‘1mm’

32. An object moving with a speed of 6.25 m/sec, is decelerated at a rate given by (dy/dt) = -2.5√v . Where ‘v’ is the instantaneous speed. The time taken by the object to come to rest, would be

1) 1 sec

2) 2 sec

3) 4 sec

4) 8 sec

33. The energy stored in the electric field produced by a metal sphere is ‘4.5 joule’. The charge on the sphere is '4μc' its radius will be [(1/4πε₀)=9×10⁹ N - m²c^-2]

1) 4mm

2) 8 mm

3) 2mm

4) 16 mm

34. A block of mass 10kg moving in X-direction with a constant speed of 10 msec^-1, is subjected to a retarding force F = (x/10) (Joule/meter) during its travel from x=10m to x=20m its final kenetic energy will be (in Joule)

1) 475

2) 450

3) 485

4) 515

35. A radiation of energy ‘E’ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (C is the Velocity of light )

1) E/C

2) 2E/C

3) EC

4) E/C²

36. Two bodies ‘A and B’ of masses 5 kg and 10 kg in contact with each other rest on a table against a rigid partition. Coefficient of friction between the bodies and the table is 0.2. A force of 200N is applied horizontally at ‘A’ action reaction force between A and B is (g = 10 m/sec²)

1) 170 N

2) 200 N

3) 190 N

4) 210 N

37. A thin circular loop of radius ‘R’ rotates about its vertical diameter with an angular frequency ‘ ’. A small bead on the wire loop remains at its lowermost point for ω ≤ √(g/R) . What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for ω = √(2g/R) (Neglect the friction)

1) 300

2) 600

3) 450

4) 1200

38. A rocket of initial mass 'm₀' moving with velocity ‘v’ discharges a jet of gases of mean density ‘ρ’ and effective area ‘A’ the minimum value of ‘v’ of fuel gas, which enables the rocket to rise vertically above is nearly

1) √(ρg)/(m₀A)

2) √(ρgA)/m₀

3) √(m₀g)/(ρA)

4) √(2m₀gA)/ρ

39. Two equal masses ‘A and B’ moving along the same straight line with velocities 3i m/sec and '-5i m/sec respectively collide elastically. Their velocities after the collision will be respectively

1) 4i m/sec for both

2) -3i m/sec and 5i m/sec

3) -4i m/sec and 4i m/sec

4) -5i m/sec and 3i m/sec

40. A cart of mass ‘M’ is tied by one end of a massless rope of length ‘10m’. The other end of the rope is in the hands of a man of mass ‘M’. The entire system is on a smooth horizontal surface. The man is at ‘x=o’ and the cart at ‘x=10m’ of the man pulls the cart by the rope , the man and the cart will meet at the point

1) X=0

2) x= 5 m

3) x = 10m

4) x=1.5m

41. Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry and the solid sphere about its diameter axis. After ‘t’ sec their angular velocities are . Choose the correct answer (initial angular speed of each is 'ω₀'

1) ω₁ = ω₂

2) ω₁ < ω₂

3) ω₁ > ω₂

4) Both 2 & 3

42. A solid sphere of mass ’M’ ; radius ‘R’ and having moment of inertia about an axis passing through the centre of mass is ‘I’. It recast into a disc of thickness ‘t’. Whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains ‘I’ then radius of the disc will be

1) 2R/√15

2) R/√2/15

3) 4R/√15

4) R/4

43. The radius of the planet is ‘R’ A satellite revolves around it in a circle of radius ‘r’ with an angular velocity ‘ω’. The acceleration due to the gravity onthe planet surface is

1) r³ω/R

2) r³ω³/R

3) r³ω²/R

4) r³ω²/R²

44. Out of the following functions representing motion of a particle which represents ‘SHM’

a) Y = sinωt - cosωt

b) Y = Sin³ ωt

c) Y = 5 cos[(3π/4) - 3ωt]

d) Y = 1 + ωt + ω²t²

1) only ‘a’ and ‘b’

2) only ‘a’

3) only ‘a’ and ‘d’

4) only ‘a’ and ‘c’

45. Four identical hollow cylindrical columns of mild steel support a big structure of mass 88000 kg. The inner and outer radii of each column are 30cm and 40cm respectively. Assuming load distribution is uniform. The compressional strain of each column is (Y = 2×10¹¹ N/m² )

1) 20×10^-6

2) 1.25×1010^-6

3) 5×10^-6

4) 10×10^-6

46. Gas at a pressure ‘P₀’ is contained in a vessel. If the masses of all the molecules are halved and their r.m.s speeds are doubled, the resulting pressure will be equal to

1) 4P₀

2) 2P₀

3) P₀

4) P₀/2

47. Two metal spheres are falling through a liquid of density 2 × 10³ kg/m³ with the same uniform speed. The material density of sphere ‘1 and 2’ are 8 × 10³ kg/m³ and 11 × 10³ kg/m³ The ratio of their radii is

1) 11/8

2) √(11/8)

3) 3/2

4) √(3/2)

48. A diatomic ideal gas is used in carnot engine as the working substance if during the adiabatic part of the cycle the volume of the gas increases from ‘V’ to ‘32V’. The efficiency of the engine is

1) 0.25

2) 0.5

3) 0.75

4) 0.99

49. The amount of radiation emitted by a perfectly black body is proportional to

1) Temperature on ideal gas scale

2) Fourth root of temperature on ideal gas scale

3) Fourth power of temperature on ideal gas scale

4) Source of temperature on ideal gas scale

50. A particle moves along X –axis in such a way that coordinate X varies with time t according to the equation . x = ( 2-5t+6t²)m The initial velocity of the particle is

1) -5m/s

2) 6m/s

3) -3m/s

4) 3m/s

51. One mole of an ideal gas at temperature ‘'T₁' expands according to the law (P/V) = constant expression for the workdone when its final temperature becomes 'T₂' is

1) R( T₂- T₁)

2) (R/2)( T₂- T₁)

3) (R/4)( T₂- T₁)

4) R (( T₂- (T_1/2))

52. A single slit of width ‘0.1mm’ is illuminated by a parallel beam of light of wave length and diffraction bands are observed on a screen ‘0.5m’ from the slit. The distance of the third dark band from the central bright band is

1) 9mm

2) 3mm

3)4.5mm

4)1.5mm

53. For a projectile, its horizontal range and maximum vertical heights are equal, maximum height reached by it is (‘u’ is initial velocity of the projectile)

1) u²/2g

2) 3u²/4g

3) 16u²/17g

4) 8u²/17g

54. Calorie is defined as the amount of heat required to raise temperature of 1g of water by 1⁰C and it is defined under which of the following conditions

1) From 14.50C to 15.50C at 760 mm of Hg

2) From 98.50C to 99.50C at 760 mm of Hg

3) From 13.50C to 14.50C at 76 mm of Hg

4) From 3.50C to 4.50C at 76 mm of Hg

55. A source and Listner both moving towards each other each with speed .frequency of the note emitted by the source is ‘600Hz’ Apparent wave length of sound wave received by the observer is ( V = 330 m/ sec)

1) 0.5m

2) 0.45m

3)0.1m

4) 0.6m

56. A wave represented by the given equation y = a cos(kx - ωt) is superposed with another wave to form a stationary wave such that the point x=0 is a node. The equation for the other wave is

1) y = a sin(kx + ωt)

2) y = -a cos(kx + ωt)

3) y = -a cos(kx - ωt)

4) y = -a sin(kx - ωt)

57. The plane faces of two identical plano-convex lenses each having focal length of 40cm are pressed against each other to form a usual convex lens. The distance from lens, at which an object must be placed to obtain a real, inverted image with magnification one is

1) 80cm

2) 40cm

3) 20cm

4) 162 cm

58. Two infinitely long parallel wires having linear charge densities 'λ₁'and 'λ₂' respectively are placed at a distance ‘R’. The force per unit length on either wire will be (k = (1/4πε₀))

1) K [2λ₁λ₂/R²]

2) K [2λ₁λ₂/R]

3) K[λ₁λ₂/R²]

4) K[λ₁λ₂/R]

59. An electric cell of e.m.f ‘E’ is connected across a copper wire of diameter ‘d’ and length 'l' the drift velocity of electron in the wire is 'v_d' If the length and diameter of the wire are doubled the new drift velocity of electron is

1) v_d

2) 2v_d

3) v_d/2

3) v_d/4

60. In a large building there are 15 bulbs of ‘40w’ 5 bulbs of ‘100w’. 5 fans of ‘80w’ and 1 heater of ‘1kw’ . The voltage of electric mains is ‘220 volts’.The minimum capacity of the main fuse of the building will be

1) 8.5 amp

2) 10 amp

3) 11.3 amp

4) 14 amp

61. Which of the following combinations should be selected for better tuning of an L.C.R series circuit used for communication

1) R = 15ΩL = 3.5H.C = 30μF

2) R = 25ΩL = 1.5H.C = 45μF

3) R = 20ΩL = 1.5H.C = 35μF

4) R = 25ΩL = 2.5H.C = 45μF

62. A square coil of side ‘25cm’ having 1000 turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant ‘t’ the ‘e.m.f’ induced in the coil is E= 200 sin100πt. The strength of the magnetic field is (in Tesla)

1) 5/125π

2) 2/125π

3) 1/125π

4) 4/125π

63. Magnetic moment and angular moment of revolving electron in a hydrogen atom ‘M’ and ‘L’ respectively then

1) (M/L) = (e/2m);M is opposite in direction to ‘L’

2) (M/L) = (e/2m);M and ‘L’ are in the same direction

3) (M/L) = (2e/m); M and ‘L’ are in the same direction

4) (M/L) = (4e/m);M is opposite in direction to ‘L’

64. A ‘2Mev’ proton is moving perpendicular to a uniform magnetic field of ‘2.5 Tesla’. The force on the proton is (mass of proton = 1.6 × 10^-27 kg)

1) 3×10^-10 N

2) 8× 10^-11 N

3) 3×10^-11N

4) 8×10^-12N

65. A voltage of peak value 283 volt and varying frequency is applied to a series L-C-R combination in which R =3 ohm, ‘L=25 mH and C = 40μF . The frequency of the source at which maximum power is dissipated in the circuit is

1) (5000/π) Hz

2) (50/π)Hz

3) (500/π)Hz

4) (5/π)Hz

66. A paramagnetic sample shows a net magnetization of 8 A/m when placed in an external magnetic field of 0.6 T at a temperature of 4 K. When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K, the magnetization will be

1) 32/3 A/m

2) 2/3 A/m

3) 6 A/m

4) 2.4 A/m

67. The threshold frequency for a metallic surface corresponds to an energy of 6.2ev and the stopping potential for a radiation incident on this surface is ‘5volt’. The incident radiation lies in

1) Infrared region

2) Visible region

3) X- ray region

4) Ultra – violet region

68. The de-Broglie wave length of an electron in first Bohr orbit is

1) Equal to one fourth the circumference of the first orbit

2) Equal to half the circumference of the first orbit

3) Equal to twice the circumference of the first orbit

4) Equal to the circumference of the first orbit

69. A nucleus of mass 'M + ∆m' is at rest and decays into two daughter nuclei of equal mass '(M/2)' each speed of light is ‘C’. The speed of daughter nuclei is

1) C√[∆m/M + ∆m]

2) C√[∆m/M]

3) C√[2∆m/ M]

4) C√[M/2∆m]

70. The aperture of the objective lens of a telescope is made large so as to

1) Increase the magnifying power of the telescope

2) Increase the resolving power of the telescope

3) Focus on distant objects

4) Ease of Manufacture

71. For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index

1) Lies between √2 and 1

2) Lies between 2and √2

3) Is less than 1

4) Is grater 2

72. Two coherent sources of intensity ratio 1:4 produce an interference pattern the fringe visibility will be

1) 1

2) 0.8

3)0.4

4) 0.6

73. Which logic gate is represented by the following combination of logic gates

1) OR

2) NAND

3)AND

4) NOR

74. The given graph represents V – I characteristic for a semiconductor device

Which of the following statement is correct

1) It is for a photodiode and points A and B represent open circuit voltage and current, respectively

2) It is for a LED and points A and B represents open circuit voltage and short circuit current respectively

3) It is V – I characteristic for solar cell where point A represents open circuit voltage and point B short circuit current

4) It is for a solar cell and points A and B represent open circuit voltage and current, respectively

75. If the velocity v of a particle moving along a straight line decreases linearly with its displacement ‘S’ from 20ms-1 to a value approaching zero at S=30m. Then acceleration of the particle at S=15m is

1) 2/3 ms-2

2) -2/3 ms-2

3) 20/3 ms-2

4) -20/3 ms-2

76. The velocity at the maximum height of a projectile is half of its initial velocity ‘u’. Its range on the horizontal plane is

1) 2u2/3g

2) √3u2/2g

3) u2/3g

4) u2/2g

77. A balloon of mass ‘m’ is found to accelerate up at the rate of g/6. The amount of water should be put inside the balloon so that it accelerates down at rate of g/6. (Assume buoyancy force remains the same)

1) m/5

2) 2m/5

3) 3m/5

4) 4m/5

78. The maximum value of ‘F’ for which both the blocks move together is

1) 95N

2) 100 N

3) 105 N

4) 110 N

79. The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease of cross sectional area by 2%. The percentage increase in its length is

1) 3%

2) 2.5%

3) 1%

4) 0.5%

80. Pick out the wrong statement from the following.

1) Viscosity depends upon the nature of the liquids

2) Generally viscosity of liquids is more than that of gases

3) In case of gases, viscosity decreases with increase in temperature

4) In case of liquids, viscosity decreases with increase in temperature

81. Two identical containers each of volume V joined by a normal pipe contains gas at a
temperature T. If one of the containers is now maintained at the same temperature T while the other is maintained at 2T, the number of moles of gas in the container having temperature 2T will be

1) PV/2RT

2) PV/RT

3) 2PV/3RT

4) PV/3RT

82. P-V diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be

1) 4R

2) 2.5R

3) 3R

4)4R/3

83. Mark out the incorrect statement regarding transverse standing waves on a string

1) Within a loop, the total energy of the wave remains constant.

2) When the particles are at the maximum displacements, the entire energy within the loopappears as potential energy

3) When the particles are crossing the mean position, the entire energy is equally divided aspotential energy and kinetic energy.

4) When the particles are crossing the mean position, the entire energy appears as kineticenergy

84. A sonometer wire resonate with a given tuning fork forming standing wave with five antinode between the two bridges when a mass of 9kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same position of the bridges. The value of M is

1) 25 kg

2) 5kg

3) 12.5kg

4) (1/25) kg

85. In the figure shown a source of sound of frequency 510 Hz move with constant velocity V_s=20 m/ s in the direction shown. The wind is blowing at a constant velocity V_w=20 m/S towards an observer who is at rest at point B. Corresponding to the sound emitted by the source in initial position A, the frequency detected by the observer is equal to (speed of sound relative to air = 330 m/s)

1) 510 Hz

2) 500 Hz

3) 525 Hz

4) 550 Hz

86. For a prism kept in air it is found that for an angle of incidence 600, the angle of refraction ‘A’, angle of deviation ‘δ ’ and angle of emergence ‘e’ become equal. Then the refractive index of the prism is

1) 1.73

2) 1.15

3) 1.5

4) 1.33

87. The power of a lens having refractive index 1.25 is +3 diopters. When placed in a liquid its power is -2 diopters. The refractive index of the liquid is

1) 1.2

2) 1.4

3) 1.5

4) 1.6

88. The length of a potentiometer wire is l. A cell of emf ‘e’ is balanced at a length l/5 from the positive end of the wire. Assuming there is no contribution in resistance from any part of the circuit except the potentiometer wire, the balancing length for the same cell if length of the wire is increased by l/2 is

1) 2l/15

2) 3 l /15

3) 3 l /10

4) 4 l /10

89. A uniform magnetic field B is directed out of the page. A metallic wire has the shape of a square frame and is placed in the field as shown. While the shape of the wire is steadily transformed into a circle in the same plane, the current in the frame

1) is directed clockwise

2) does not appear

3) is directed counterclockwise

4) is alternating

90. A variable frequency A.C. source is connected to a capacitor. How will the displacement current change with decrease in frequency?

1) Increases

2) Decreases

3) Remains same

4) Becomes zero

91. In natural α -decay process occurring in different types of nuclei at rest. Which of the following
is correct?

1) The kinetic energy of α-particle is zero

2) The kinetic energy of daughter nucleus is always less than kinetic energy of α-particle

3) The magnitude of linear momentum of α-particle and daughter nucleus are not equal

4) The daughter nucleus is always stable

Super 30 Entrance Exam – Online Practice Test

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