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a tunnel is dug through the centre of the earth an
Question:
A tunnel is dug through the centre of the earth and a ball is released in it. It executes S.H.M. with time period:
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The tunnel-through-earth SHM period equals satellite orbital period.
BITSAT - 2014
BITSAT
Updated On:
Mar 24, 2026
42 minutes
1 day
1 hour
84.6 minutes
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Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
Step 1:
Motion inside the earth is SHM due to linear variation of gravity with radius.
Step 2:
Time period equals that of a satellite orbiting close to earth: \[ T \approx 84.6 \text{ minutes} \]
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