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Q.
The speed of a wave in a medium is $650\, m / s$. If $4000$ waves are passing through a point, in the medium in $1.67\, \min$, then its wavelength will be :
AFMCAFMC 2000
Solution:
Wavelength is defined as the distance between repeating units of a wave pattern. It is related to frequency and velocity as
Wavelength $\Rightarrow \frac{\text { velocity }}{\text { frequency }}$
Given, Time $t=1.67 \min .=100 \,s$
Frequency of wave is
$n=\frac{4000}{100}=40$ per sec
Wavelength of wave is
$\lambda=\frac{v}{n}=\frac{650}{40}=16.25\, m$