Wave Mechanics Vibration Of String Question 11
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 $
BETA
