A wire under certain tension is in unison with a tuning fork when tension in the wire is increased by 2%, 3 beats/second are produced. Find the frequency of tuning fork.

Options

A. 250 Hz
B. 300 Hz
C. 400 Hz
D. 350 Hz

Answer

B

Explanation

As, `v_(1)propsqrt(T_(1)) and v_(2)propsqrt(T_(2))`
Also, `v_(2) gt v_(1)`
`thereforev_(2)-v_(1)=3`
`implies(v_(1))/(v_(2))=sqrt((T_(1))/(1.02T_(1)))`
or `(v_(2))/(v_(1))=sqrt(1.02)=1.01`
`thereforev_(2)=1.301xxv_(1)`
`1.02v_(1)-v_(1)=3`
or `v_(1)=300Hz`.