Question

if, the tension in the string of paino is increased by 25%the find % change in frequency of string​

Answer 1

Solution. The tension in a piano wire is increased by 25%. Its frequency becomes 1.12 times the original frequency.

Answer 2

Question

The tension in a piano wire is increased by 25%. Its frequency becomes $$_____$$ times the original frequency.

Solution

Frequency

$~~$ $= \frac{velocity}{wavelength}$

Veloctity of a stretched string

$~~$ $= \sqrt{ \frac{Tension}{mass×density} }$

Now, when you increase tension by 25%,

New Tension

$~~$ $= \sqrt{\frac{1.25Tension}{mass×density} }$

So,

New frequency

$~~$ = 1.118 × Original frequency

= $\Large\boxed{1.12}$

Hope it helps!!