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Home » General Knowledge » Aptitude Test - 63
Hassan
1.A spring of force constant 800N/m has an extension of 5cm. The work done in extending it from 5cm to 15cm is?
A. 8J
B. 16J
C. 24J
D. 8J
2.A simple pendulum is attached to the roof of a lift. If the time period of oscillation, when the lift is stationary is T, then the frequency of oscillation when the lift falls freely, will be?
A. Zero
B. T
C. 1/T
D. Zero
3.A lightly damped oscillator with a frequency v is set in motion by a harmonic driving force of frequency v’. When v’ is lesser than v, then the response of the oscillator is controlled by?
A. Spring constant
B. Inertia of the mass
C. Oscillator frequency
D. Spring constant
4.What is the time period of a pendulum hanged in a satellite? (T is the time period on earth)
A. Zero
B. T
C. Infinite
D. Zero
5.Which of the following functions represents a simple harmonic oscillation?
A. sinωt-cosωt
B. sinωt+sin2ωt
C. sinωt-sin2ωt
D. sinωt-cosωt
6.The displacement of a simple harmonic motion doing oscillation when kinetic energy = potential energy (amplitude = 4cm) is?
A. 2√2cm
B. 2cm
C. 1/√2 cm
D. 2√2cm
7.The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increases length is?
A. 50%
B. 21%
C. 30%
D. 50%
8.A spring of spring constant 5×103N/m is stretched initially by 5cm from the unstretched position. Then the work done to stretch is further by another 5cm is?
A. 6.25Nm
B. 12.50Nm
C. 18.75Nm
D. 6.25Nm
9.A particle is executing simple harmonic motion at midpoint of mean position and extremely. What is the potential energy in terms of total energy (E)?
A. E/4
B. E/16
C. E/2
D. E/4
10.A particle executes simple harmonic motion with an angular velocity of 3.5 rad/sec and maximum velocity acceleration 7.5 m/s2 respectively. What is the amplitude of oscillations?
A. 0.28m
B. 0.36m
C. 0.707m
D. 0.28m
11.The time period of a simple pendulum on a satellite, orbiting around the earth, is?
A. Infinite
B. Zero
C. 84.6 min
D. Infinite
12. In forced oscillation of a particle, the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force. Then
A. ω1=ω2
B. ω1 is lessed than ω2
C. ω1 is lesser than ω2, when damping is small and ω1 is greater than ω2, when damping is large
D. ω1=ω2
13.If a simple pendulum oscillates with amplitude of 50mm and time period of 2s, then its maximum velocity is?
A. 0.10m/s
B. 0.16m/s
C. 0.24m/s
D. 0.10m/s
14.If the period of oscillation of mass m suspended from a spring is 2s, then the period of mass 4m will be?
A. 1s
B. 4s
C. 8s
D. 1s
15.The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2×10-2 cosπt(in m). The time at which the maximum speed first occurs is?
A. 0.5s
B. 0.75s
C. 0.125s
D. 0.5s
16.The maximum velocity of a particle, executing simple harmonic motion with amplitude 7mm, is 4.4m/s. The period of oscillation is?
A. 0.01s
B. 0.1s
C. 10s
D. 0.01s
17.If the frequency of oscillation of a particle doing simple harmonic motion is n, the frequency of kinetic energy is?
A. 2n
B. n
C. n/2
D. 2n
18.Natural length of spring is 60 cm and its spring constant is 4000 N/m. A mass of 20 kg is hung from it. The extension produced in the spring (take g=9.8m/s2) is?
A. 4.9cm
B. 0.49cm
C. 9.4cm
D. 4.9cm
19.The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is?
A. 0.5Ï€
B. π
C. 0.707 π
D. 0.5Ï€
20.A particle executes simple harmonic motion between x = -A and x = +A. The time taken for it to go from 0 to A/2 is T1 and to go from A/2 to A is T2. Then?
A. T1 < T2
B. T1 > T2
C. T1=T2
D. T1 < T2
21.A simple pendulum has a time period T1, when on the earth’s surface; and T2, when taken to a height R above the earth’s surface (R is the radius of the earth). The value of T2/T1 is?
A. 2
B. √2
C. 4
D. 2
22.A child swinging on a swing stands up. Then the time period of the swing will?
A. Increase
B. Decrease
C. Remain the same
D. Increase
23.If a particle is oscillating on the same horizontal plane in the ground?
A. It has only kinetic energy but no potential energy
B. It has only potential energy but no kinetic energy
C. It has both kinetic and potential energies
D. It has only kinetic energy but no potential energy
24.If the length of simple pendulum is tripled, what will be its new time period in terms of original period T?
A. 0.7T
B. 1.73T
C. T/2
D. 0.7T
25.A spring 40mm long is stretched by the acceleration of a force. If 10N force is required to stretch the spring through 1mm, then work done in stretching through 40mm is?
A. 84J
B. 48J
C. 24J
D. 84J
26.A spring of force constant k is cut into two pieces, such that one piece is double the length of the other. Then the long piece will have a force constant of?
A. (2/3) k
B. (3/2) k
C. 3k
D. (2/3) k
27.In a simple harmonic oscillator, at the mean position?
A. Kinetic energy in minimum, potential energy is maximum
B. Both kinetic and potential energies are maximum
C. Kinetic energy is maximum, potential energy is minimum
D. Kinetic energy in minimum, potential energy is maximum
28.What is the maximum acceleration of the particle executing the simple harmonic motion, y = 2sin[(πt/2)+φ], where y is in cm?
A. π/2 cm/s2
B. π2/2 cm/s2
C. π/4 cm/s2
D. π/2 cm/s2
29.When the maximum kinetic energy of a simple pendulum is K, then what its displacement (in terms of amplitude a) when its kinetic energy is K/2?
A. a/√2
B. a/2
C. a/√3
D. a/√2
30.The mass and the radius of a planet are twice that of earth. Then, period of oscillation of a second pendulum on that planet will be?
A. 1/√2s
B. 2√2s
C. 2s
D. 1/√2s
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