Question

A standing wave is represented by y= a sin (100t) cos (0.01x). Where y and a are in millimetres, t is in seconds and x is in metre . The velocity of the wave is

Answer 1

A standing wave is represented by y = asin(100t)cos(0.01x), where y and a are in millimetres, t is in sec and x in metres.

The velocity of wave .

we know if standard equation of standing wave is given by, $y=Asin(\omega t)cos(\kappa x)$

then, velocity of wave is $\nu=\frac{\omega}{\kappa}$

in given equation, $\omega$ = 100
and $\kappa$ = 0.01

so, velocity of wave = 100/0.01 = 10⁴