Question

A wave is represented by the equation

y = (0.001 mm) sin[(50 $s^{-1}$)t + (2.0 $m^{-1}$)x].

• A. The wave velocity = 100 m/s.
• B. The wavelength = 2.0 m.
• C. The frequency = $\frac{25}{\pi }$ Hz.
• D. The amplitude = 0.01 mm.

Answer 1

The correct option is C

The frequency = $\frac{25}{\pi }$ Hz.

Comparing with the standard equation,

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

$\omega$ = 2 $\pi$ f = 50

f= $\frac{25}{\pi }$ Hz

Amplitude is A= 0.001 mm.

K = 2 =2 $\frac{\pi }{\lambda }$

$\lambda$= π m

v = $\frac{w}{k}$ = $\frac{50}{2}$ = 25 m $s^{-1}$^.