Wave Mechanics Vibration Of String Question 44
Question: The fundamental frequency of a string stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is
[J & K CET 2000]
Options:
A) 4 kg wt
B) 8 kg wt
C) 12 kg wt
D) 16 kg wt
Show Answer
Answer:
Correct Answer: D
Solution:
$ n=\frac{1}{2l}\sqrt{\frac{T}{m}} $
Therefore $ n\propto \sqrt{T} $ For octave, $ {n}’=2n $
Therefore $ \frac{{{n}’}}{n}=\sqrt{\frac{{{T}’}}{T}}=2 $
Therefore $ {T}’=4T=16kg\text{-}wt $
BETA
