When two waves of almost equal frequencies v₁ and v₂ reach at a point simultaneously, time inter

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14.Waves and Sound

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When two waves of almost equal frequencies $v_1$ and $v_2$ reach at a point simultaneously, the time interval between successive maxima is

A

$v_1 + v_2$

B

$v_1 - v_2$

C

$\frac{1}{{{v_1} + {v_2}}}$

D

$\frac{1}{{{v_1} - {v_2}}}$

Solution

When two waves of almost equal frequencies $\mathrm{v}_{1}$ and $\mathrm{v}_{2}$ reach at a point simultaneously, beats are produced.

Beat frequency, $v_{\text {beat }}=v_{1}-v_{2}$

Time interval between successive maxima

$=\frac{1}{v_{\text {beat }}}=\frac{1}{v_{1}-v_{2}}$

Standard 11

Physics

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