A sonometer wire 49 cm long is in unison with a tuning fork of frequency ' n '. If the length of the wire is decreased by 1 cm and it is vibrated with the same tuning fork, 6 beats are heard per second. The value of ' n ' is (a) 256 Hz (b) 288 Hz (c) 320 Hz (d) 384 Hz

Answer: (b). f ∝ 1/L: the 48 cm wire gives n + 6. n × 49 = (n + 6) × 48 n = 6 × 48 = 288 Hz So the answer is (b) 288 Hz.

A sonometer wire 49 cm long is in unison with a tuning fork of… | MHT CET 2023 (14 May, Shift 2)

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A sonometer wire $49\text{ cm}$ long is in unison with a tuning fork of frequency ' $n$ '. If the length of the wire is decreased by $1\text{ cm}$ and it is vibrated with the same tuning fork, 6 beats are heard per second. The value of ' $n$ ' is

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Answer: (b)

$f \propto \dfrac{1}{L}$ : the 48 cm wire gives $n + 6$ .
$n \times 49 = (n + 6) \times 48$
$n = 6 \times 48 = 288\text{ Hz}$
So the answer is (b) 288 Hz.

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