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Two wires of same material of length l a...

Two wires of same material of length l and 2l vibrate with frequencies 100 Hz and 150 Hz respectively. The ratio of their tensions is

A

`2:3`

B

`3:2`

C

`1:9`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
C
`n_1 (1)/(2l_1)sqrt(T_1/m) " and " n_2 = (1)/(2l_2) sqrt(T_2/m)`
`n_1/n_2 = l_2/l_1 sqrt(T_1/T_2) = (2l)/(l) sqrt(T_1/T_2)`
`100/150 = 2 sqrt(T_1/T_2)`
`2/6 = sqrt(T_1/T_2) therefore 1/9 = T_1/T_2`
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