Question

A wave equation which gives the displacement along the y-direction is given by $y={10}^{-4}sin(60t+2x)$, where $x$ and $y$ are in metre and $t$ is time in second. This represents a wave

• A. travelling with a velocity of $30m/s$ in the negative x-direction
• B. of wavelength $\pi m$
• C. of frequency $\left(30/\pi \right)Hz$
• D. of amplitude ${10}^{-4}m$ travelling along the negative x-direction

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A travelling with a velocity of $30m/s$ in the negative x-direction
B of wavelength $\pi m$
C of frequency $\left(30/\pi \right)Hz$
D of amplitude ${10}^{-4}m$ travelling along the negative x-direction

Harmonic wave can be represented by:
$y=A\sin (\omega t-kx)$

Where,
Wavelength $\lambda =2\pi /k$
Frequency $f=\omega /2\pi$
Velocity of wave $V=\lambda f=\omega /k$
Amplitude $=A$