A transverse wave of amplitude 050 mm and frequency 100 Hz is produced on a wire stretched to a tension of 100 N. If the wave speed is 100 m s⁻¹, what average power is the source transmitting to the wire?

A heavy but uniform rope of length L is suspended from a ceiling. (A) Write the velocity of a transverse wave travelling on the string as a function of the distance from the lower end. (B) If the rope is given a sudden sideways jerk at the bottom, how long will it take for the pulse to reach the ceiling? (C) A particle is dropped from the ceiling at the instant the bottom end is given the jerk. Where will the particle meet the pulse?

Two long strings A and B, each having linear mass density 12 × 10⁻² kg m⁻¹, are stretched by different tensions 48 N and 75 N respectively and are kept parallel to each other with their left ends at x = 0. Wave pulses are produced on the strings at the left ends at t = 0 on string A and at t = 20 ms on string B. When and where will the pulse on B overtake that on A?

A 200 Hz wave with amplitude 1 mm travels on a long string of linear mass density 6 g m⁻¹ kept under a tension of 60 N. (A) Find the average power transmitted across a given point on the string. (B) Find the total energy associated with the wave in a 20 m long portion of the string.

A tuning fork of frequency 440 Hz is attached to a long string of linear mass density 001 kg m⁻¹ kept under a tension of 49 N. The fork produces transverse waves of amplitude 050 mm on the string. (A) Find the wave speed and the wavelength of the waves. (B) Find the maximum speed and acceleration of a particle of the string. (C) At what average rate is the tuning fork transmitting energy to the string?