A) 16 J
B) 8 J
C) 32 J
D) 24 J
Correct Answer: B
Solution :
[b] Small amount of work done in extending the spring by dx is \[dW=k\text{ }x\text{ }dx\] \[\therefore \] \[W=k\int\limits_{0.05}^{0.15}{x\,\,dx}\] \[=\frac{800}{2}\left[ {{(0.15)}^{2}}-{{(0.05)}^{2}} \right]\] \[=400\,[(0.15+0.05)(0.15-0.05)]\] \[=400\times 0.2\times 0.1=8\,J\]
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