If a body is released into a tunnel dug across the diameter of eart...

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If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period
[CPMT 1999; DUMET 2010]
\( \mathrm{P} \)
(a) \( T=2 \pi \sqrt{\frac{R_{e}}{g}} \)
(b) \( T=2 \pi \sqrt{\frac{2 R_{e}}{g}} \)
(c) \( T=2 \pi \sqrt{\frac{R_{e}}{2 g}} \)
(d) \( T=2 \) seconds
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