Question

The equation of a transverse wave is given by $y=10sin\pi \left(0.01 x - 2 t\right)$ where $x$ and $y$ are in $cm$ and $t$ is in seconds. Its frequency is

• A. $10 \, s^{- 1}$
• B. $2 \, s^{- 1}$
• C. $1 \, s^{- 1}$
• D. $0.01 \, s^{- 1}$

Answer 1

Answer: (C)

Comparing with the standard equation, $y=Asin\left(k x - \omega t\right)$ , we have
$\omega =2\pi rad/s$
Frequency $n=\frac{\omega }{2 \pi }=\frac{2 \pi }{2 \pi }=1s^{- 1}$
$\Rightarrow n=1 \, s^{- 1}$