Two smooth narrow tunnels are dug in the earth, one along its diameter and the other along a line parallel to diameter. Two particles 1 and 2 are released at the ends of the two tunnels as shown.
Which of the following is true?

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The two particles reach the centres of their respective tunnels with same speed

Both the particles perform SHM with different time periods.

The two particles simultaneously reach the centres of their respective tunnels.

Both the particles perform SHM with same time periods.

answer is A, D.

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Detailed Solution

Any body moving along a tunnel will perform Simple harmonic motion with a time period of $T = 2 π \sqrt{\frac{R}{g}}$ .

So, the two particles simultaneously reach the centres of their respective tunnels.

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