Question

A wave travels in a medium according to the equation of displacement given by
$y(x,t)=0.03\sin \pi (2t-0.01x)$
where y and x are in meter and t in second.
The wavelength of the wave is

• A. 200 m
• B. 100 m
• C. 20 m
• D. 10 m

Answer 1

Answer: (A)

200 m

Comparing the given equation with standard wave equation $y=A\sin (wt-kx)$

We find that the propagation constant,
$k=(\pi \times 0.01)m^{-1}$
Thus wavelength $\lambda =\frac{2\pi }{k}=\frac{2\pi }{\pi \times 0.01}=200m$