Wave Mechanics Question 515
Question: Consider four steel wires of dimensions given below (d = diameter and / = length): $ l=1m,d=1mm $ $ l=2m,d=2mm $ $ l=2m,d=1mm $ $ l=1m,d=2mm $ If same force is applied to all the wires then the elastic potential energy stored will be maximum in wire:
Options:
A) A
B) B
C) C
D) D
Show Answer
Answer:
Correct Answer: C
Solution:
[c] We have, $ U=\frac{F^{2}}{2k} $ Where $ k=\frac{Yl}{A}=\frac{Yl}{\frac{1}{4}\pi d^{2}} $
$ \
Therefore ,U\propto \frac{d^{2}}{l} $
BETA
