Periodic motion — period, frequency; SHM and its equation; phase; oscillations of a spring; energy in SHM; simple pendulum; free, forced and damped oscillations, resonance; wave motion; transverse and longitudinal waves; speed of travelling wave; principle of superposition; reflection of waves; standing waves in strings and organ pipes; beats; Doppler effect.
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Q1 · Oscillations and Waves · EASY
A particle executes simple harmonic motion with amplitude 10 cm and time period 2 s. What is the maximum velocity of the particle?
Q2 · Oscillations and Waves · EASY
A string of length 1 m is fixed at both ends and vibrates in its fundamental mode. If the velocity of wave in the string is 200 m/s, what is the frequency of vibration?
Q3 · Oscillations and Waves · MEDIUM
A simple pendulum has a time period of 2 s on Earth. If it is taken to a planet where acceleration due to gravity is 4 times that on Earth, what will be its new time period?
Q4 · Oscillations and Waves · MEDIUM
Two tuning forks produce 6 beats per second when sounded together. One fork has frequency 256 Hz. When a small piece of wax is attached to the fork of unknown frequency, the beat frequency decreases to 4 per second. What is the frequency of the unknown fork?
Q5 · Oscillations and Waves · HARD
A closed organ pipe and an open organ pipe have the same fundamental frequency. If the length of the closed pipe is 20 cm, what is the length of the open pipe?