Oscillations

The restoring force in SHM is:

1. Constant
2. Proportional to displacement and opposite in direction
3. Proportional to velocity
4. Always zero

At the mean position of an SHM particle:

1. Kinetic energy is maximum
2. Potential energy is maximum
3. Velocity is zero
4. Acceleration is maximum

The angular frequency of SHM is related to frequency by:

1. ω = f/2π
2. ω = 2πf
3. ω = πf
4. ω = f²

The phase difference between displacement and velocity in SHM is:

1. 0
2. π/4
3. π/2
4. π

The time period of a simple pendulum depends on:

1. Mass of bob
2. Length of pendulum
3. Amplitude only
4. Material of bob

A simple pendulum performs SHM when:

1. The amplitude is large
2. The angle of oscillation is small
3. The mass is very large
4. The length is zero

The total energy of a particle executing SHM is proportional to:

1. Amplitude
2. Square of amplitude
3. Frequency only
4. Velocity only

The acceleration of a particle in SHM is maximum at:

1. Mean position
2. Extreme positions
3. All positions
4. Midway positions only

The velocity of a particle in SHM is maximum at:

1. Extreme position
2. Mean position
3. Half amplitude position
4. Every point equally

The equation of simple harmonic motion is:

1. x = A sin(ωt + φ)
2. x = vt
3. x = ut + at²
4. x = constant

The maximum displacement of a particle from its mean position is called:

1. Frequency
2. Amplitude
3. Velocity
4. Phase

In simple harmonic motion, acceleration is:

1. Constant
2. Directly proportional to displacement and opposite in direction
3. Directly proportional to velocity
4. Zero at all points

The SI unit of frequency is:

1. Second
2. Hertz
3. Metre
4. Radian

The time taken by an oscillating particle to complete one oscillation is called:

1. Frequency
2. Amplitude
3. Time period
4. Phase

The motion of a particle that repeats itself after equal intervals of time is called:

1. Random motion
2. Periodic motion
3. Translational motion
4. Projectile motion