Q. 1
Which of the following is correct in respect to acceleration?
 a. Body does not require any force to accelerate
 b. Body’s velocity should be zero
 c. Body should be at rest
 d. Acceleration of the body can be negative
 e. Frictional force increases acceleration
 Answer: D
 Explaination: Explanation: To keep body moving with acceleration there must be some force applied from outside as frictional force tends to oppose the motion. Hence, A is incorrect. Velocity must be increasing all the time for acceleration or must be decreasing for deceleration. So, B is incorrect. Body at rest will experience no force so, no acceleration as well. Therefore, C is incorrect. Body thrown upwards experiences a negative acceleration since; motion of the body (upwards) is against acceleration due to gravity (acting downwards). Hence, D is the correct answer. Frictional force always tends to reduce the velocity of the body. Hence acceleration will reduce. Therefore, E is incorrect.
Q. 2
A car starts from a point A at 9 AM and reaches point B at 11 AM. If A and B are separated by 100 km and the car is moving with uniform speed, what is the speed of the car for the entire travel in m/s?
 a. 15.7 m/s
 b. 13.9 m/s
 c. 11.3 m/s
 d. 10.4 m/s
 e. 14.5 m/s
 Answer: B

Explaination: Explanation: t = 11 Am – 9 Am
Or, t = 2 h
Speed v = d/h
v = 100/2
Or, v = 50 km/h
As the time is given in hours we need to convert it into seconds. Also, distance is given in km so we need to convert it into m
50 km/h = 50*(1000/3600) m/s
50 km/h = 13.9 m/s
Hence, B is the correct answer option.
Q. 3
Which of the following is a unit of power?
 a. J
 b. Nm/s
 c. W/s
 d. N/s
 e. None of the above choices
 Answer: B

Explaination: Explanation: P = W/t
W = F . d
SI unit of force (F) is N, displacement (d) is m. and time (t) is s. Therefore,
P = Nm/s
Hence, B is the correct answer option.
Q. 4
An elevator of mass 800 kg is moving upwards with a constant velocity of 3 m/s. What would be the resultant force acting on the elevator?
 a. 7840 N
 b. 2400 N
 c. 266.67 N
 d. 0 N
 e. None of the above choices
 Answer: D

Explaination: Explanation: If the velocity of the object on which the forces are acting is zero, then it means that the object is in static equilibrium (no acceleration)
Force acting on a body is given as F = ma
As the elevator is moving up with constant velocity, it experiences zero acceleration and from the equation we can say that the resultant force acting on it is zero. Hence, D is the correct answer option.
Q. 5
Consider that a force of 50 N, as shown in the figure, is dragging a block of ice of mass 1.5 kg along a frictionless horizontal surface. What is the acceleration experienced by the block of ice?
 a. 28.87 m/s^{2}
 b. 25 m/s^{2}
 c. 16.67 m/s^{2}
 d. 19.24 m/s^{2}
 e. 57.73 m/s^{2}
 Answer: A

Explaination: Explanation: F = ma
50 cos 30^{0} = ma
1.5 a = 50 cos 30^{0}
a = 28.87 m/s^{2}
Hence, A is the correct answer option.
Q. 6
What would be the Potential Energy stored in a spring of spring constant 20 N/m that is compressed by 2 cm?
 a. 2*10^{3} J
 b. 10^{3} J
 c. 4*10^{3} J
 d. 7*10^{3} J
 e. 8*10^{3} J
 Answer: C

Explaination: Explanation: PE = (1/2) kx^{2}
As the distance is given in cm we need to convert it into m.
PE = (1/2) * 20 * 0.02^{2}
PE = 4 * 10^{3} Joule
Hence, C is the correct answer option.
Q. 7
A rotor with uniform angular speed of 210 rad/s needs a torque of 250 Nm from an engine. What would be the power of the engine required for the torque?
 a. 54500 W
 b. 52500 W
 c. 34600 W
 d. 1.19 W
 e. None of the above choices
 Answer: B

Explaination: Explanation: P = ζ ω
P = 250 * 210
P = 52500 W
Hence, B is the correct answer option.
Q. 8
A mass of 0.01 kg attached to a spring and the spring is compressed by 2 cm by a force of 45 N. If the force is removed, the system is set into oscillation, what would be the frequency of the oscillation?
 a. 45.55 Hz
 b. 15.21 Hz
 c. 56.15 Hz
 d. 75.53 Hz
 e. 89.12 Hz
 Answer: D

Explaination: Explanation: f = (1/2π) √k/m
The restoring force that develops in the spring due to the external force applied is given as
F = kx
As the distance is given in cm we need to convert it into m.
45 = k * 0.02
Or, k = 2250 N/m
f = (1/2π) √2250/0.01
f = 75.53 Hz
Hence, D is the correct answer option.
Q. 9
A tuning fork vibrates with a frequency of 500 Hz. If the speed of sound in air is 343 m/s, what is the distance the sound travels when the tuning fork makes 100 oscillations?
 a. 34.3 m
 b. 50.4 m
 c. 5 m
 d. 76.8 m
 e. 68.6 m
 Answer: E

Explaination: Explanation: v = f λ
342 = 500 * λ
Or, λ = 0.686 m
This is the distance that the sound travels in one oscillation. The distance traveled in 100 oscillations is
d = 100 * 0.686 m
(d is the distance traveled in 100 vibrations)
d = 68.6 m
Hence, E is the correct answer option.
Q. 10
What is the buoyant force exerted on a 20 cm block of iron submerged completely inside water?
 a. 0.234 N
 b. 0.111 N
 c. 2.289 N
 d. 1.34 N
 e. 0.196 N
 Answer: E

Explaination: Explanation: FB = ρ gV
As the volume is given in cm^{3} we need to convert it into m^{3}.
FB = 1000*9.8*2*10^{5}
FB = 0.196 N
Hence, E is the correct answer option.
Q. 11
A given mass of gas exerts a pressure of 24 cm of mercury at 20^{0}C. What pressure the gas would exert at 10^{0}C for an isochoric process?
 a. 25.11 cm
 b. 24.44 cm
 c. 34.45 cm
 d. 12.23 cm
 e. 26.88 cm
 Answer: E

Explaination: Explanation: Isochoric process is carried out at constant volume. As the pressure and temperature is changing, we have to apply GayLussac law. It is given as
P_{1}/T_{1} = P_{2}/T_{2}  (1)
As the temperature is given in C we need to convert it into Kelvin.
24/253 = P_{2}/283
P_{2} = 26.88 cm
Hence, E is the correct answer option.
Q. 12
Consider the figure given below. Two protons (+ev) are inside a cube of side length 4 cm. what is the electric flux produced by the charges?
 a. (e/ε_{o})
 b. Zero
 c. e/ε_{o}
 d. 1/ε_{o}
 e. (e/ε_{o})
 Answer: C

Explaination: Explanation: Φ = Q_{en} / ε_{o}
Q_{en} = +e + e – e
Or, Q_{en} = e
Φ = e / ε_{o}
Hence, C is the correct answer option.
Q. 13
What is the maximum value of kinetic energy of the photoelectrons emitted, when a photon of frequency 1.5*10^{15}Hz is directed on a silver surface? Assume the threshold frequency for silver is 1.5*10^{15}Hz
 a. 2.64*10^{9} J
 b. 2.64*10^{19} J
 c. 2.64*10^{18} J
 d. 2.64*10^{15} J
 e. 2.64*10^{11} J
 Answer: B

Explaination: Explanation: K_{max} = h(f –f_{o})
K_{max} = 6.6*10^{34}*[1.5*10^{15} – 1.1*10^{15}]
K_{max} = 2.64*10^{19} J
Therefore, B is the correct answer option.
Q. 14
At which angle does a ray of light reflect back to the same medium after being incident on another medium of a different refractive index?
 a. Less than critical angle
 b. Greater than critical angle
 c. 0^{0}
 d. 90^{0}
 e. Light will not reflect at any angle
 Answer: B
 Explaination: Explanation: Critical angle is the angle above which total internal reflection will occur. That is, if a ray of light is incident on an interface separating two different mediums, making an angle greater than the critical angle, then the ray of light will reflect back. This will only take place at an angle greater than the critical angle. Hence, A is an incorrect answer option where as B is the correct answer option. At 0^{0} a ray of light is incident on a medium orthogonally. If both the mediums are of same refractive indices then only will the ray of light reflect back. Otherwise we will have refraction of light. Hence, C is an incorrect option. At 90^{0} a ray of light will travel along the interface separating the mediums. There will be no reflection or refraction. Hence, D is an incorrect answer option. Light will reflect at an angle greater than the critical angle. Hence, E is an incorrect answer option.
Q. 15
If a liquid of density of 810 Kg/m^{3} and mass 0.950 Kg is kept in a vessel of negligible mass, what would be its volume in cm^{3}?
 a. 1.17*10^{3}
 b. 11.7
 c. 117
 d. 1.17
 e. 1170
 Answer: E

Explaination: Explanation: Volume = mass/density
Volume = 0.950/810
Or, Volume = 1.17*10^{3} m^{3}
We need to convert volume in m^{3} to cm^{3}
Volume = 1.17*10^{3}*106 cm^{3}
Or, Volume = 1170 cm^{3}
Hence, E is the correct answer option.