In a sonometer a metal of length of 20 cm and diameter `0.2` mm is stretched by aload of 2 kg. wt. if the density of materila of the wire is `7.8 gm//cm^(3)`. Find the fundamental frequenct of vibrations of the wire.

Options

A. 706.3Hz
B. 705.3 Hz
C. 708.3 Hz
D. 707.3 Hz

Answer

D

Explanation

Frequency of vibration of the wire is
`v=(1)/(2Ir)sqrt((T)/(rho pi))`
`:.` Fundamental frequency,
`=(1)/(2xx0.2xx10^(4))sqrt((2xx9.8)/(7.8xx10^(3)xx3.14))` ltbr. `=707. Hz`