A one-metre long stretched string having a mass of 40 g is attached to a tuning fork. The fork vibrates at 128 Hz in a direction perpendicular to the string. What should be the tension in the string if it is to vibrate in four loops ?

Explanation

`l=1m`
Since it is vibrating in four loops

`lambda+lambda=1implieslambda=(l)/(2)=(1)/(2)=0.5m`
`V=vlambda=128Hzxx0.5`, `V=64m//s`
Let the length be `T, V=sqrt((T)/(m))T=V^(2)m`
where `m=` linear mass density `=(60)^(2)xx(40xx10^(-3)kg)/(1m)=T=163.84N`