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चन्द्रमा का द्रव्यमान पृथ्वी के द्रव्यमान का `(1)/(8)` गुना है, परन्तु गुरुत्वीय खिंचवा (गुरुत्वीय त्वरण ) पृथ्वी का `(1)/(6)` है इसका कारण है
A. चन्द्रमा पृथ्वी का उपग्रह है
B. पृथ्वी की त्रिज्या चन्द्रमा की त्रिज्या की 8.6 गुनी है
C. पृथ्वी की त्रिज्या चन्द्रमा की त्रिज्या की `sqrt(8//6)` गुनी है
D. चन्द्रमा की त्रिज्या पृथ्वी की त्रिज्या की 6 / 8 गुनी है

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Correct Answer - C
`(g_(m))/(g_(e)) = (G(M//8))/(GM//R_(e)^(2)) = (R_(e)^(2))/(8R_(m)^(2))` ….(i)
दिया है, `(mg_(m))/(ng_(e)) = (1)/(6)`
`implies (g_(m))/(g_(e)) = (1)/(6)` ….(ii)
समी (i ) व (ii ) से,
`(R_(e)^(2))/(8R_(m)^(2)) = (1)/(6) implies R_(e) =sqrt((8)/(6)) R_(m)`

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