On increasing the tension in the string by 10 kg wt, the fundamental frequency increases in the ratio of 1 : 2. Calculate the initial tension in the string.

Explanation

As `(v_(1))/(v_(2)) = sqrt((T_(1))/(T_(2)))`
`(v_(1)^(2))/(v_(2)^(2)) = (T_(1))/(T_(2))`
`T_(2) = T_(1) + 10, (v_(1))/(v_(2)) = (1)/(2)`
`therefore" "(1)/(4) = (T_(1))/(T_(1) + 10)`
`T_(1) + 10 = 4 T_(1)`
`3 T_(1) = 10`
`T_(1) = (10)/(3) = 3.3` kg wt.