Question

A wave of frequency $500Hz$, travels between $X$ and $Y$, a distance of $600m$ in $2s$. How many wavelength are there in distance $XY$ ?

• A. 1000
• B. 300
• C. 180
• D. 2000

Answer 1

Answer: (A)

Wavelength $(\lambda )$ is defined as the distance between repeating units of a wave pattern.
Also, velocity $=\frac{\text{ distance }(d)}{\text{ time }(t)}$

Given, $d=600m,t=2s$
$\therefore v=\frac{600}{2}=300m/s,$
$f=500Hz$
From equation $v=f\lambda$, we have
$\lambda =\frac{v}{f}=\frac{300}{500}=\frac{3}{5}m$
Number of waves in $600m=\frac{600}{2/5}=1000$.