Wave Mechanics Question 731

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

[KCET 2000]

Options:

A) 16 : 9 : 4 : 1

B) 4 : 3 : 2 : 1

C) 1 : 4 : 2 : 16

D) 1 : 2 : 3 : 4

Show Answer

Answer:

Correct Answer: D

Solution:

$ n\propto \sqrt{T} $

Therefore $ n _{1}:n _{2}:n _{3}:n _{4}=\sqrt{1}:\sqrt{4}:\sqrt{9}:\sqrt{16}=1:2:3:4 $