MHT CET 2023 Physics 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
Answer: (B)
Solution
The frequency of a stretched wire at fixed tension is inversely proportional to its length, . Initially for cm. After shortening to 48 cm the frequency rises to . Beat frequency: , so
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