If the tension in a string is increased by `21` percent, the fundamental frequency of the string changes by `15 Hz`. Which of the following statements will also be correct?

Options

A. The original fundamental frequency is nearly `150 Hz`
B. The velocity of propagation changes nearly by `4.5%`
C. The velocity of propagation changes nearly by `10%`
D. The fundamental wavelength changes nearly by `10%`

Answer

A, C

Explanation

`V prop sqrt(T)`
`f prop sqrt(T)`
`(t)/(f + 15) = ((T)/(T + (21T)/(100)))^(1/2) = (10)/(11)`
`11f = 10f + 150`
`f = 150 Hz`