A) \[{{10}^{6}}\]
B) \[{{10}^{8}}\]
C) \[2\times {{10}^{6}}\]
D) \[2\times {{10}^{8}}\]
Correct Answer: A
Solution :
[a] \[Y=2\times {{10}^{10}}N{{m}^{-2}};\frac{\Delta l}{l}=0.01\] Work done per unit volume \[=\frac{1}{2}\times stress\times strain=\frac{1}{2}\times Y\times strai{{n}^{2}}\] \[=\frac{1}{2}Y{{\left( \frac{\Delta l}{l} \right)}^{2}}\] \[\therefore \,\,U=\frac{1}{2}\times 2\times {{10}^{10}}\times {{\left( \frac{1}{100} \right)}^{2}}=U={{10}^{6}}J{{m}^{-3}}\]
You need to login to perform this action.
You will be redirected in
3 sec
