in an experiment it was found that string vibrates in n loops when a mass M is placed on the pan. What mass should be placed on the pan to make it vibrate in 2n loops with same frequency ? ( neglect the mass of pan )

Options

A. 2m
B. M/4
C. 4m
D. M/2

Answer

B

Explanation

`l=(nlamda)/(2) and l=(2nlamda')/(2) implies lamda'=(lamda)/(2)`, sinve `V=flamda`
`implies V'=(V)/(2)` also `V=sqrt((T)/(mu))=sqrt((Mg)/(mu)) implies sqrt(M')=(sqrt(M))/(2) implies M'=(M)/(4)`