A segment of wire vibrates with fundamental frequency of 40 Hz under a tension of 9 kg-wt. Then, tension at which the fundamental frequency of the same wire becomes 900 Hz is

Options

A. 36 kg-wt
B. 27 kg-wt
C. 18 kg-wt
D. 72 kg-wt

Answer

a

Explanation

Fundamental frequency, `n=1/(2l)sqrt(T/m)and nprop sqrt(T)`
`therefore n_(1)/n_(2)=sqrt(T_(1)/T_(2))rArr 450/900=sqrt(9/T_(2))`
`T_(2)=36` kg-wt