Question

the displacement of particle is given by Y is equal to 2 into 10 raise to minus 4 sin 100t - 50 X in SI units the wave velocity is​

Answer 1

wait.................

Answer 2

Given that,

The displacement of particle is given by :

$y=2\times 10^{-4}\sin (100t-50x)$ .......(1)

To find,

The velocity of wave

Solution,

The general equation of wave is given by :

$y=A\sin (\omega t-kx)$ .......(2)

The velocity of a wave is given by :

$v=\dfrac{\omega}{k}$

From equation (1) and (2), we get :

$k=50\\\\\omega=100$

Velocity,

$v=\dfrac{100}{50}\\\\v=2\ m/s$

So, the velocity of the wave is 2 m/s.

Learn more,

Speed of wave

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