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

Question

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

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`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`

5 views Answered 2023-02-05 15:29