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# The mass of the Jupiter is 1.9×1027 kg and that of the sun is 1.99×1038 kg. The mean distance of the Jupiter from the sun is 7.8×1011 m. Speed of the Jupiter is (assuming that Jupiter moves in the circular orbit around the sun).1.304×104 m/sec13.04×104 m/sec1.304×108 m/sec1.304×102 m/sec

A
1.304×104 m/sec
B
13.04×104 m/sec
C
1.304×108 m/sec
D
1.304×102 m/sec
Solution
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#### Jupiter mass Mj=1.9×1027Sun mass Ms=1.99×1038distance r=7.8×1011 all in SI system of unitsthe centripetal force (Mjv2/r) for revolution will be provided by the gravitational attraction GMjMs/r2so equating both we get Mjv2/r=GMjMs/r2 which give us v=2√GMsr after putting G=6.67×10−11Nm2/(Kg)2 and other valueswe get v=1.3×108m/s Option C is correct.

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