Question

Four wires of identical lengths, diameters and material are stretched on a sonometer box. The ratio of their tensions is 1 : 4 : 9 : 16. The ratio of their fundamental frequencies is -

• A. 1 : 6 : 9 : 16
• B. 4 : 3 : 2 : 1
• C. 1 : 2 : 3 : 4
• D. 1 : 4 : 9 : 16

Answer 1

Answer: (C)

1 : 2 : 3 : 4

Answer 2

n₁ : n₂ : n₃ : n₄ :

= $\sqrt{F_{1}}$: $\sqrt{F_{2}}$: $\sqrt{F_{3}}$: $\sqrt{F_{4}}$

= $\sqrt{1}$: $\sqrt{4}$: $\sqrt{9}$: $\sqrt{16}$

= 1 : 2 : 3 : 4