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MHT CET 2024 (11 May, Shift 1) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from MHT CET 2024 (11 May, Shift 1)

Q26MHT CET 2024 · 11 MAY · SHIFT 1Medium

Satellites - Orbital Velocity & Period

Assuming that the earth is revolving around the sun in circular orbit of radius R, the angular momentum is directly proportional to $R^{n}$ . The value of ' $n$ ' is

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Answer: (d)

$L = mvR = m\sqrt{\frac{GM}{R}}\,R = m\sqrt{GMR}$
So $L \propto R^{1/2}$ , giving $n = 0.5$ .
So the answer is (d) 0.5.

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