A) \[T=2\pi \sqrt{\frac{mg}{x\left( M+m \right)}}\]
B) \[T=2\pi \sqrt{\frac{x\left( M+m \right)}{mg}}\]
C) \[T=\frac{2\pi }{3}\sqrt{\frac{mg}{\left( M+m \right)x}}\]
D) \[T=2\pi \sqrt{\frac{\left( M+m \right)}{mgx}}\]
Correct Answer: B
Solution :
As mg produces extension \[x,\]hence \[k=\frac{mg}{x}\] \[\therefore \] \[T=2\pi \sqrt{\frac{M+m}{k}}\] \[T=2\pi \sqrt{\frac{(M+m)x}{mg}}\]You need to login to perform this action.
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