A) \[2\pi \sqrt{\frac{2R}{g}}\]
B) \[4\sqrt{2}\pi \sqrt{\frac{R}{g}}\]
C) \[2\pi \sqrt{\frac{R}{g}}\]
D) \[8\pi \sqrt{\frac{R}{g}}\]
Correct Answer: B
Solution :
\[T=2\pi \sqrt{\frac{{{(R+h)}^{3}}}{g{{R}^{2}}}}=2\pi \sqrt{\frac{{{(2R)}^{3}}}{g{{R}^{2}}}}=4\sqrt{2\pi }\sqrt{\frac{R}{g}}\]
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