Write your understanding about coherent waves. A taut string for which u = 5.00 x 10 kg/m is under a tension of 80.0 N. How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60.0 Hz and an amplitude of 6.00 cm?

Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.

Use dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).

Two harmonic waves are given by: y1=Acos(kx−ωt) and y2=Asin(kx−wt+π/3) where k=5πm−1, ω=800πs−1 and A=4.0cm  sin(theta1) +/- sin(theta2) = 2sin( (theta1 +/- theta2) /2) cos( (theta1 -/+ theta2) /2) Using the provided identity, find the equation of the resultant wave and its amplitude.  Show all work.

A wave propagation is represented by y = 4 sin (20nt – x) where x is in cm and t is in s. Calculate the 4. (a) (b) (c) Wavelength Frequency Velocity [1 = 12 m; f = 10 Hz; v = 120 ms-1]