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MHT CET 2026 (18 Apr, Shift 1) · Beats

Beats question from MHT CET 2026 (18 Apr, Shift 1)

Q13MHT CET 2026 · 18 APR · SHIFT 1Medium

Beats

The lengths of the two pipes open at both ends are L and $(L + L_1)$ . If they are sounded together, the beat frequency will be

( $v$ = velocity of sound in air)

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Answer: (d)

Open pipe fundamental: $f = \frac{v}{2L}$ .
$f_1 = \frac{v}{2L}$ , $f_2 = \frac{v}{2(L+L_1)}$
Beat frequency $= f_1 - f_2 = \frac{v}{2}\left[\frac{1}{L} - \frac{1}{L+L_1}\right] = \frac{vL_1}{2L(L+L_1)}$
So the answer is (d) $\frac{vL_1}{2L(L+L_1)}$ .

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