Question

'n' number of waves are produced on a string in 0.5 seconds. Now the tension in a string is doubled (Keeping radius constant). The number of waves produced in 0.5 seconds for the same harmonic will be ______

Options

• `sqrt2  n`

• `sqrt2/n`

• `n/sqrt2`

• n

Answer 1

'n' number of waves are produced on a string in 0.5 seconds. Now the tension in a string is doubled (Keeping radius constant). The number of waves produced in 0.5 seconds for the same harmonic will be `underline(sqrt2  n)`.

Explanation:

Velocity = `sqrt("Tension"/"mass per length")`

`k/T ∝ sqrt("Tension")`

kf ∝ `sqrt("Tension")`

∴ If tension is doubled, the number of waves or frequency will be `sqrt2` times.

∴ `sqrt2` n