Question

Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is 1 : 4 : 9 : 16 then the ratio of their fundamental frequencies are

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

Answer 1

Answer: (D)

1 : 2 : 3 : 4

Answer 2

$n \propto \sqrt{T}$

⇒ $n_{1}:n_{2}:n_{3}:n_{4} = \sqrt{1}:\sqrt{4}:\sqrt{9}:\sqrt{16} = 1:2:3:4$