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Statement-I: If a hole were drilled through the centre of earth, i.e along the diameter and a ball is dropped into the hole at one end, it will not get out of the other end of the hole.
Statement-II: It will execute SHM and will be seen at the other end after $43.2 m i n$ from the time it is dropped

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Statement II is correct but statement I is incorrect

Both Statement- I and statement II are correct but statement II is not the correct explanation of statement I

Statement I is correct but statement II is incorrect

Both statement-I and statement II are correct and statement II is the correct explanation of statement I

answer is A.

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Detailed Solution

$\frac{F}{m} = - \frac{G M}{R^{3}} x a = - \frac{G M}{R^{3}} x$

The bolt executes SHM

$ω = \sqrt{\frac{G M}{R^{3}}} T = \frac{2 π}{ω} = 2 π \sqrt{\frac{R^{3}}{G M}} = 86.4 \min t = \frac{T}{2} = 43.2 \min$

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