Looking for classes? Ksquare Career Institute, Bengaluru →
A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength $2\pi$ m and frequency of $\frac{1}{\pi}$ Hz is represented by:
A
$y = \sin(2\pi x + 2\pi t)$
B
$y = \sin(x - 2t)$
C
$y = \sin(2\pi x - 2\pi t)$
D
$y = \sin(10\pi x - 20\pi t)$
Detailed Solution
$k = \frac{2\pi}{\lambda} = \frac{2\pi}{2\pi} = 1$ and $\omega = 2\pi f = (2\pi)\left(\frac{1}{\pi}\right) = 2$
$y = \sin(kx - \omega t) = \sin(x - 2t)$
$y = \sin(kx - \omega t) = \sin(x - 2t)$