A metal wire of diameter `1 mm` is held on two knife edges by a distance `50 cm`. The tension in the wire is `100 N`. The wire vibrating with its fundamental frequency and a vibrating tuning fork together produce `5 beats//s`. The tension in the wire is then reduced to `81 N`. When the two are excited, beats are heard at the same rate. Calculate (a) frequency of a fork and (b) the density of material of wire.

A metal wire of diameter `1 mm` is held on two knife edges by a distan

1.	A metal wire of diameter `1 mm` is held on two knife edges by a distance `50 cm`. The tension in the wire is `100 N`. The wire vibrating with its fundamental frequency and a vibrating tuning fork together produce `5 beats//s`. The tension in the wire is then reduced to `81 N`. When the two are excited, beats are heard at the same rate. Calculate (a) frequency of a fork and (b) the density of material of wire.
Answer» Correct Answer - (a) `95 Hz` , (b) `(40)/(pi)xx10^(3)kg//m^(3)`

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