Write your understanding about coherent waves. A steel wire in a piano has a length of L = 0.9m and a mass of m = 5.4 g. To what tension T must this wire be stretched so that its fundamental vibration possesses a frequency f = 261.6 Hz?

The wave y (x,t) = Asin (kx − wt + (lambda sign)) has an amplitude of 0.245 cm and a period of 85.2 ms. What is the maximum particle velocity? Answer in m / s.

Q factor of a violin is 1000.find the number of vibrations executed by the string before its energy comes to 37% of its initial value.

In a liquid with a density of 1100 kg/m3, longitudinal waves with a frequency of 370 Hz are found to have a wavelength of 7.50 m. Calculate the bulk modulus of the liquid. Express your answer in pascals.

A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m.  Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. The sound wave is directly incident on a sheet of paper of surface area A = 0.013 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.

A uniform wire under tension, is fixed at its ends. If the ratio of tension in the wire to the square of its length is 360 dyne/cm² and fundamental frequency of vibration of wire is 300 Hz. Find its linear density.

A piano wire with mass 2.60g and length 81.0cm is stretched with a tension of 30.0N . A wave with frequency 110 Hz and amplitude 1.40 mm travels along the wire. (a)Calculate the average power carried by the wave. (b)What happens to the average power if the wave amplitude is halved?

A uniform wire under tension, is fixed at its ends. If the ratio of tension in the wire to the square of its length is 360 dyne/cm² and fundamental frequency of vibration of wire is 300 Hz. Find its linear density.

Calculate the fundamental frequency of vibration of an air column enclosed in a pipe open at both the ends of length 0.2 m, V = 340 m/sec.

A uniform wire under tension, is fixed at its ends. If the ratio of tension in the wire to the square of its length is 360 dyne/cm? and fundamental frequency of vibration of wire is 300 Hz. Find its linear density.