Question

Increase the tension of stretched wire by 5 kg weight then fundamental frequency increases with the ratio of 2 is to 3 find the initial tension

Answer 1

The initial tension in the wire will be 90 N.

• Let the initial tension be T.

• Let the final tension be T'.

Now, given

• T' = T + 5Kg wt

• So, T' = T + 50 N

• We know that fundamental frequency,

       f = 1/2L * √(T/u)

So,

• f ∝ √ T

• Also, f'/f = 2/3

Hence,

• f'/f = √(T'/T) = 2/3

squaring both the sides,

• T'/T = 4/9

Hence,

• (T+ 50)/T = 4/9

• So, T = 90 N.