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Question

In a hypothetical uniform and spherical planet of mass M and radius R, a tunnel is dug radially from its surface to its centre as shown. The minimum energy required to carry a unit mass from its centre to the surface is kmgR. Find value of k. Acceleration due to gravity at the surface of the planet is g.
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A
0.7
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B
0.5
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C
1
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D
0.9
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