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A tuning fork produces 5 beats s^(-1) wi...

A tuning fork produces 5 beats `s^(-1)` with a sonometer
wire of length 78 cm. If the length of the wire
iscreased byy 2 cm, then there is a resonance between
the tuning fork and the wire. The frequency of the
fork is

A

195 Hz

B

190 Hz

C

200 Hz

D

180 Hz

Text Solution

Verified by Experts

The correct Answer is:
A
For the sonometer wire n l = constant
`:. n_(1)/n_(2) = l_(2)/l_(1) = 80/78 = 40/39 " and " n_(1) gt n_(2)`
`:. ` If N is the frequency of the tuning fork, then
` n_(1) = N + 5 " and " n_(2) = N`
` :. (N +5)/N = 40/39`
` :. 40N = 39N + 195 :. N = 195 `Hz
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