JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-30
question_answer
The amount of work required for increasing the length of a given wire of length \[l\] by \[l\] will be : (A \[=\] Area, \[Y=\] Young's modulus of material of the wire)
A) \[3\times {{2}^{2}}\]
B)\[Yl/2A\]
C)\[Y{{l}^{2}}/2A\]
D) None
Correct Answer:
A
Solution :
work \[=\int{Fdx=\int_{\,0}^{\,1}{\frac{AYx}{l}}dx}=\frac{AYl}{2}\]