A) \[d=\frac{l}{4}\]
B) \[d=\frac{l}{\sqrt{2}}\]
C) \[d=\frac{l}{2}\]
D) \[d=l\]
Correct Answer: D
Solution :
[d] For W to be maximum; \[\frac{dW}{dx}=0\]; i.e. \[F(x)=0\Rightarrow x=l,x=0\] Clearly for \[d=l\], the work done is maximum. Alternate solution: External force and displacement are in the same direction \[\therefore \]Work will be positive continuously so it will be maximum when displacement is maximum.
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