1.

If the length of a stretched string is shortened by `40 %` and the tension is increased by `44 %`, then the ratio of the final and initial fundamental frequencies isA. `3 : 4`B. `4 : 3`C. `1 : 3`D. `2 :1`

Answer» Correct Answer - D
`n = (1)/( 2l) sqrt((T)/(m))`
`(n_(2))/(n_(1)) = (l_(1))/(l_(2)) sqrt((T_(2))/(T_(1)))`
`= (l_(1))/([l_(1) - (40)/(100) l_(1)]) sqrt (((T_(1) + (44)/(100) T_(1))/(T_(1)))`
`= (100)/(60) xx (12)/(10) = 2 :1`


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