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Objective Type Questions – SHM (Page 6)
Type: Numerical / Integer Answer
Difficulty: JEE Advanced
Instructions:
Solve the problems and write the correct numerical value (no units required).
Solve the problems and write the correct numerical value (no units required).
Q51.
A particle executes SHM with amplitude 0.10 m and angular frequency 10 rad s⁻¹. Find the maximum acceleration of the particle.
Answer: 10
A particle executes SHM with amplitude 0.10 m and angular frequency 10 rad s⁻¹. Find the maximum acceleration of the particle.
Answer: 10
Q52.
The time period of a mass–spring system is 2 s. Find the angular frequency of oscillation.
Answer: 3
The time period of a mass–spring system is 2 s. Find the angular frequency of oscillation.
Answer: 3
Q53.
A particle in SHM has maximum speed 2 m/s and angular frequency 4 rad s⁻¹. Find the amplitude of oscillation.
Answer: 0.5
A particle in SHM has maximum speed 2 m/s and angular frequency 4 rad s⁻¹. Find the amplitude of oscillation.
Answer: 0.5
Q54.
The displacement of a particle executing SHM is given by x = 0.05 sin(20t). Find the maximum velocity.
Answer: 1
The displacement of a particle executing SHM is given by x = 0.05 sin(20t). Find the maximum velocity.
Answer: 1
Q55.
A particle executes SHM with time period 4 s. How many oscillations does it complete in 1 minute?
Answer: 15
A particle executes SHM with time period 4 s. How many oscillations does it complete in 1 minute?
Answer: 15
Q56.
The ratio of maximum kinetic energy to maximum potential energy in SHM is ___.
Answer: 1
The ratio of maximum kinetic energy to maximum potential energy in SHM is ___.
Answer: 1
Q57.
In SHM, when displacement is half of amplitude, find the ratio of kinetic energy to total energy.
Answer: 3/4
In SHM, when displacement is half of amplitude, find the ratio of kinetic energy to total energy.
Answer: 3/4
Q58.
A spring–mass system oscillates with angular frequency 5 rad s⁻¹. If mass is 2 kg, find the spring constant.
Answer: 50
A spring–mass system oscillates with angular frequency 5 rad s⁻¹. If mass is 2 kg, find the spring constant.
Answer: 50
Q59.
The phase difference between two particles executing SHM differs by π/2. Find the fraction of time period corresponding to this phase difference.
Answer: 1/4
The phase difference between two particles executing SHM differs by π/2. Find the fraction of time period corresponding to this phase difference.
Answer: 1/4
Q60.
For a simple pendulum, time period is proportional to √L. If length becomes four times, by what factor does time period increase?
Answer: 2
For a simple pendulum, time period is proportional to √L. If length becomes four times, by what factor does time period increase?
Answer: 2
End of Objective Page 6
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