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MHT CET 2025 (22 Apr, Shift 2) · Beats

Beats question from MHT CET 2025 (22 Apr, Shift 2)

Q25MHT CET 2025 · 22 APR · SHIFT 2Medium

Beats

The lengths of the two organ 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: $f = \frac{v}{2L}$ .
Beat frequency $= \frac{v}{2L} - \frac{v}{2(L+L_1)} = \frac{v}{2}\cdot\frac{L_1}{L(L+L_1)}$
So the answer is (d) $\frac{vL_1}{2L(L+L_1)}$ .

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