Question

When a wave travels in a medium the particles displacement is, given by the equation $y=0.03 \sin \pi(2t-0.01 x)$, where $x$ and $y$ are in metre 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)

Here, displacement equation is
$y=0.03 \sin \pi(2 t-0.01 x)$ ...(i)
The standard equation is
$y=a \sin 2 \pi\left(\frac{t}{T}-\frac{x}{\lambda}\right)$ ...(ii)
Comparing the given Eq. (i) with standard Eq. (ii), we have
$\frac{2}{\lambda}=0.01$
or $\lambda=\frac{2}{0.01}=200\, m$