A) \[{{W}_{2}}=2W_{1}^{2}\]
B) \[{{W}_{2}}=2{{W}_{1}}\]
C) \[{{W}_{2}}={{W}_{1}}\]
D) \[{{W}_{2}}=0.5{{W}_{1}}\]
Correct Answer: B
Solution :
\[W=\frac{1}{2}k{{x}^{2}}\] If both wires are stretched through same distance then \[W\propto k\]. As \[{{k}_{2}}=2{{k}_{1}}\] so \[{{W}_{2}}=2{{W}_{1}}\]
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