This simple harmonic motion quiz tests the following concepts of Physics by MCQs (multiple choice questions). The information below is formality you may start the quiz now.

• Motion of simple pendulum
• Conservation of energy in simple harmonic motion
• Simple harmonic motion as projection of uniform circular motion
• Formula of total energy in simple harmonic motion
• Formula of kinetic energy in simple harmonic motion
• velocity calculation in SHM
• Displacement Calculation in SHM
• Maximum acceleration formula in SHM
• Basic properties of SHM
• Motion of mass spring system in gravitational field
• Motion of simple pendulum in train
• Simple pendulum frequency and time period formulas
• Frequency and angular velocity relation
• Motion of simple pendulum in lift
• Frequency and time period relation

Q1. A Pendulum consists of a spherical bob which is full of water is vibrating in perfect vacuum. Through a small hole water is leaking. (Ignoring reaction force of water leaving the bob) what will happen to the time period of pendulum with water leakage form completely filled bob to completely empty one.
A) Increase
B) Decrease
C) Remains unaffected
D) First increase and then decrease

Q2. At resonance condition the amplitude of driven harmonic oscillator is
A) zero
B) small but non-zero
C) moderate
D) maximum

Q3. At resonance condition the frequency of oscillator
A) decreases
B) increases
C) remains same
D) None of the above options is correct

Q4. Resonance will be sharp pendulum with
A) pith bob
B) Iron bob
C) wood bob
D) same for all bobs

Q5. Three pendulums are of same length and consists of different bobs. If frequency of applied force is double to their natural frequency. Pendulum with maximum amplitude is one which has
A) pith bob
B) iron bob
C) wood bob
D) same for all bobs

Q6. If amplitude of vibrating body hardly depends on the frequency of applied force it means
A) damping is negligible
B) resonance is sharp
C) both A and B
D) none of the above

Q7. Acceleration for driven harmonic oscillator is zero at
A) extreme position
B) mean position
C) both A and B
D) none of the above

Q8. A body executing simple harmonic motion is at equilibrium at
A) extreme position
B) mean position
C) somewhere between extreme and mean position
D) no where

Q9. More will be the damping—— at any frequency other than resonance frequency.
A) more sharper the resonance and more will be amplitude
B) more sharper the resonance and less will be amplitude
C) less sharper the resonance and less will be amplitude
D) less sharper the resonance and more will be amplitude

Q10. Damping——– the time period of oscillator.
A) increases
B) decreases
C) not effect
D) may increase or decrease

Q11. An oscillator vibrating at its natural frequency is
A) free oscillator
B) forced oscillator
C) driven harmonic oscillator
D) both b and c

Q12. A circus performer is walking on a stretched string and string is vibrating due to his foot steps the string is an example of
A) free oscillator
B) forced oscillator
C) driven harmonic oscillator
D) both b and c

Key Concepts

Mass spring System:

• Frequency time period angular frequency for mass spring system all depends only on spring constant and mass attached only.
• The time period of mass spring system is independent of gravitational acceleration.
• The time period of mass spring system also independent of amplitude.
• During any simple harmonic motion potential energy and kinetic energy regularly changes into one another but in non dissipative case total energy remains conserved.
• Velocity during simple harmonic motion is maximum at mean position and minimum at extreme postion.
• Acceleration during simple harmonic motion is minimum at mean position or zero at mean position and maximum at extreme position.
• When displacement is 0.7 times of amplitude the kinetic energy and potential energy are equal and half of the total energy.

Simple pendulum:

• For simple pendulum the time period, angular frequency and frequency all depends only on length of pendulum and value of g.
• The time period of simple pendulum changes by changing apparent value of g.

This simple harmonic motion quiz will be best for SAT, GRE Physics, MDCAT, ECAT, IIT, JEE and other competitive exam students from all over the world.