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NEET UG PHYSICS MCQ: GRAVITATION

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A particle of mass mm is dropped from a great height hh above the hole in the earth dug along its diameter. Then, which of the following statement is correct?
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Correct option: D
The speed of the particle at the centre of earth equals GM(R+3h)R(R+h)\sqrt{\frac{G M(R+3 h)}{R(R+h)}}, where RR and MM are the radius and mass of the earth, respectively.
Option D (The speed of the particle at the centre of earth equals GM(R+3h)R(R+h)\sqrt{\frac{G M(R+3 h)}{R(R+h)}}, where RR and MM are the radius and mass of the earth, respectively.) is correct because it is derived from the conservation of energy principle.

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