A) \[T=2\pi \sqrt{\left( mg/x(M+m) \right)}\]
B) \[T=2\pi \sqrt{\left( (M+m)x/mg \right)}\]
C) \[T=(\pi /2)\sqrt{\left( mg/x(M+m) \right)}\]
D) \[T=2\pi \sqrt{\left( (M+m)/mgx \right)}\]
Correct Answer: B
Solution :
As mg produces extension x, hence \[k=\frac{mg}{x}\] \ \[T=2\pi \sqrt{\frac{(M+m)}{k}}=2\pi \sqrt{\frac{(M+m)x}{mg}}\]
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