A certain spring has a linear mass density of `0.25 kg m^(-1)` and is stretched with a tension of 25 N. One end is given a sinusoidal motion with frequnecy 5 Hz and amplitude 0.01 m. At time t=0, the other end has zero displacement and is moving in the positive y-direction.
(i) Find the wave speed, amplitude, angular frequnecy, period, wavelength and wave number.
(ii) Write a wave function representing the wave.
(iii) Find the position of the point at x=0.25m at time t=0.1s.

A string has linear density mu=525 g//m and is under tension tau=45N . We send a sinusoidal wave with frequency f=120Hz and amplitude y_(m)=8.5 mm along the string. At what average rate does the wave transport energy?

In reference to a wave motion, define the terms (i) amplitude (ii) time period (iii) frequency (iv) angular frequency (v) wave length and wave number.

A string of linear density 0.2kg/m is stretched with a force of 500 N. If a transverse wave of wavelength 4m and amplitude (1//pi) metre is travelling along it, then the speed of the wave will be

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A string of length 10.0 m and mass 1.25kg stretched with a tension of 50N. If a transverse pulse is created at one end of the string, how long does it take to reach the other end ?

The mass of a string is 5.0 xx 10^(-3) kg, and it is stretched so that the tension in it is 180 N. A transverse wave traveling on this string has a frequency of 260 Hz and a wavelength: of 0.60 m. What is the length of the string?

A simple harmonic oscillator at the point x=0 genrates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. the rope has a linear mass density of 50.0 g//m and is strectches with a tension of 5.00 N. (a) determine the speed of the wave. (b) find the wavelength. (c ) write the wave function y(x,t) for the wave, Assume that the oscillator has its maximum upward displacement at time t=0. (d) find the maximum transverse acceleration at time t=0. (d) find the maximum transverse of points on the rope. (e) in the discussion of transverse waves in this chapter, the force of gravity was ignored. is that a reasonable assumption for this wave? explain.

A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x - direction. The expression for this wave is [

In an electromagnetic wave, the electric field Oscillates sinusoidally with a frequency of 3 xx 10^9 Hz and having amplitude 60 V/m. Find the wavelength of the wave and the amplitude of the magnetic field.