A string under a tension of 129.6 N produces 10 beats per sec when it is vibrated along with a tuning fork. When the tension in the string is increased to 160 N, it sounds in unison with the same tuning fork, Calculate the fundamental frequency of the tuning fork.

Explanation

Let.f be the frequency of fork.
The wire frequency would be `(f+-10)`
In case of a wire under tension `f prop sqrt(T)`
`:.(f-10)/(f)=sqrt((129.6)/(160))` on simplification f=100 Hz