Oscillations & Waves Mock Tests

A forced harmonic oscillator has a resonance peak at frequency ω₀. If the damping coefficient is doubled, what happens to the amplitude at resonance?

A sound source moving towards a stationary observer produces a frequency 10/9 times the actual frequency. The speed of the source is (v = speed of sound):

Two waves are described by y₁ = 3 sin(100πt) and y₂ = 4 sin(100πt + π/2). The amplitude of the resultant wave is:

A mass of 2 kg is attached to a spring with spring constant 200 N/m. The mass is displaced and released. What is the time period of oscillation?

A particle executes simple harmonic motion with amplitude A and angular frequency ω. The ratio of maximum speed to maximum acceleration is:

A simple pendulum has a period of 2 seconds on Earth. If it is taken to a place where g is reduced by 4%, the new period is approximately:

A source of sound emits a frequency of 1000 Hz and moves toward a stationary observer at 30 m/s. If the speed of sound in air is 330 m/s, the apparent frequency heard by the observer is closest to:

A sound source moves towards a stationary observer at 30 m/s. The frequency heard by the observer is 200 Hz. If the speed of sound is 330 m/s, the actual frequency of the source is: