Question

The equation of a transverse wave is given by
$y=100\sin \pi (0.05x-t)$
where $x$ & $y$ in $m$ and $t$ is in second. It's frequency will be-

• A. $0.1{\text{sec}}^{-1}$
• B. $0.5{\text{sec}}^{-1}$
• C. $0.05{\text{sec}}^{-1}$
• D. $0.01{\text{sec}}^{-1}$

Answer 1

Answer: (B)

$0.5{\text{sec}}^{-1}$

$y=100\sin (0.05\pi x-\pi t)$

Compare with

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

$\omega =\pi$

$2\pi f=\pi$

$f=\frac{1}{2}$

$f=0.5{\text{sec}}^{-1}$