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Question

Two spherical massive bodies of uniform density each of mass $$M$$ and radius $$R$$ are kept at a distance $$4R$$ apart. Then the minimum speed $$(V_{min})$$ required to project a particle from the surface of body $$A$$ such that it will never return on the surface of same body is
1013842_8b2d59e5384c4bef8de6b5efeca2114c.png


A
Vmin=12GM5R
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B
Vmin=2GM3R
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C
Vmin=5GM7R
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D
Vmin=2GMR
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Solution

The correct option is B $$V_{min} = \sqrt {\dfrac {2GM}{3R}}$$
1423301_1013842_ans_4c6699bd7e7343a884066fe3a58ea93c.jpg

Physics

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