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The escape velocity for a planet is ve. A tunnel is dug along a diameter of the planet and a small body is dropped into it at the surface. If R is the radius of the planet and g is the acceleration due to gravity at its surface then the body will reach the centre of the planet in time(a) 2π√R/g(b) π√R/g(c) π/2√R/g(d) √2R/g |
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Answer» Correct Answer is: (c) π/2√R/g The time period of oscillation of a particle undergoing SHM in the tunnel, starting from rest at the surface = 2π√R/g. The journey from the surface to the centre is one-fourth of an oscillation. |
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