Question

The percent by which the fundamental frequency changed if the tension is increased by 30 percent is ? a)-20.04% b)-40.12% c)-30% d)-14.02%

Answer 1

Percentage increase in the fundamental frequency is

d)-14.02%

Step-by-step explanation:

As we know that fundamental frequency of the wave in string is given as

`f_o = (1)/(2L)\sqrt{(T)/(\mu)}`

now it is given that tension is increased by 30%

so here we will have

`T' = T(1 + 0.30)`

`T' = 1.30T`

now new value of fundamental frequency is given as

`f_o' = (1)/(2L)\sqrt{(1.30T)/(\mu)}`

now we have

`f_o' = √(1.3)f_o`

so here percentage change in the fundamental frequency is given as

`change = (f_o' - f_o)/(f_o) * 100`

% change = 14.02%