Wave Mechanics Question 519
Question: The system is rotated with angular speed ox. (see figure). What is the ratio of energy stored in each wire?
Options:
A) 31:9
B) 50:9
C) 47:9
D) 8:9
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ T _{1}-T _{2}=m{\omega _{0}}^{2}(2l) $
$ T _{2}=m{\omega _{0}}^{2}(3l) $
$ \
Therefore T _{1}=5m{\omega _{0}}^{2}l. $
$ \frac{Energy(A)}{Energy(B)}$=$\frac{{(stress)^{2}}_A volume A}{{(stress)}^{2}_B volumeB} $
$ =\frac{{{(5)}^{2}}}{{{(3)}^{2}}}\times ( \frac{A\times 2l}{A\times l} )=\frac{50}{9} $
BETA
