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  4. Two waves of wave length 2 m and 2.02 m respectively moving with the same velocity and superimpose to produce 2 beats per second. The velocity of the waves is:

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Q. Two waves of wave length $2\, m$ and $2.02\, m$ respectively moving with the same velocity and superimpose to produce $2$ beats per second. The velocity of the waves is:

Waves

Solution:

Number of beats $\Delta n = n _{1}- n _{2}$
$2=\frac{ v }{\lambda_{1}}-\frac{ v }{\lambda_{2}}$
$\Rightarrow 2 =\frac{ v }{2}-\frac{ v }{2.02}$
$2 =\frac{ v }{202} \Rightarrow v =404$