n number of waves are produced on a string in 0.5 s. Now, the tension in the string is doubled (Assume length and radius constant), the number of waves produced in 0.5s for the same harmonic will be

Options

A. n
B. `sqrt2n`
C. `(n)/(sqrt2)`
D. `(n)/(sqrt5)`

Answer

C

Explanation

`n=(1)/(2L) sqrt((T)/(m))`
` n '= (1)/(2L ) sqrt((2T)/(m))`
`=sqrt2 (1)/(2L) sqrt((T)/(m))`
`n'= sqrt2n`