Two waves, travelling in the same direction through the same region, have equal frequencies, wavelengths and amplitudes. If the amplitudes of each wave is 4 mm and the phase difference between the waves is 90°, what is the resultant amplitude?

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?

Figure (15-E7) shows two wave pulses at t = 0 travelling on a string in opposite directions with the same wave

Two waves, each having a frequency of 100 Hz and a wavelength of 20 cm, are travelling in the same direction on a string. What is the phase difference between the waves (A) if the second wave was produced 0015 s later than the first one at the same place, (B) if the two waves were produced at the same instant but the first one was produced a distance 40 cm behind the second one? (C) If each of the waves has an amplitude of 20 mm, what would be the amplitudes of the resultant waves in part (A) and (B)?