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

Question

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

TestHub · Accepted Answer

∴ ∴ ​ n 1 ​ L 1 ​ = n 2 ​ L 2 ​ n 1 ​ × 49 = n 2 ​ × 48 n 2 ​ = 48 49 ​ n 1 ​ ​ Given that, beat frequency, ∣ n 1 ​ − n 2 ​ ∣ = 6 ∴ ∴ ∴ ​ ​ n 1 ​ − 48 49 ​ n 1 ​ ​ = 6 48 n 1 ​ ​ = 6 n 1 ​ = 288 Hz ​

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