Question

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

• A. 2 : 3
• B. 3 : 2
• C. 1 : 9
• D. 1 : 3

Answer 1

Answer: (C)

1 : 9

Answer 2

n = $\frac { 1 } { 2 \mathrm {~L} }$ $\sqrt{\frac{T}{m}}$

\ $\sqrt{T}$ µ nl

$\frac{T_{1}}{T_{2}}$= $\frac{\nu_{1}^{2}}{\nu_{2}^{2}}$× $\frac{\mathcal{l}_{1}^{2}}{\mathcal{l}_{2}^{2}}$