Question

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given f(t) = A sin (t/T). The wave speed is ν. Write the wave equation.

Answer 1

Wavelength is Product of Speed and Time

Explanation:

Given,

Equation of the wave travelling in the positive x-direction at x = 0:

$f(t) = Asin \frac {t}{T}$

Here,  

Wave speed = v

Wavelength, $\lambda = v \times T$

where, T = Time period

Therefore, the general equation of the wave can be represented by

$y = Asin [\frac {t}{T} - \frac {x}{\sqrt T}]$