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A tuning fork of frequency 480 Hz produc...

A tuning fork of frequency 480 Hz produces 10 beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before

A

490 Hz

B

470 Hz

C

460 Hz

D

480 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `n_(1)=480, m=10`
`:. N_(2)=n_(1) pm m=480 pm 10=490` or 470.
when tension is increased, `n_(2)` will increase `( :' n_(2) prop sqrt(T))`.
As number of beats `s^(-1)` decrease, `n_(2)=470` Hz
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