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Question: Answered & Verified by Expert
A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field of the planet acts on the spaceship, what will be the number of complete revolutions made by the spaceship in 24 hours around the planet?
[Given: Mass of planet  =8×1022 kg ,
Radius of planet =2×106 m,
Gravitational constant  G=6.67×10-11 Nm2/kg2 ]
PhysicsGravitationJEE MainJEE Main 2019 (10 Apr Shift 2)
Options:
  • A 17
  • B 9
  • C 13
  • D 11
Solution:
1371 Upvotes Verified Answer
The correct answer is: 11
T=2π(R+h)3GM=2π 8.242×10186.67×10-11×8×1022 
T7809 sec
Number of revolutions in 24 hours:
n=864007809=11.06
11 revolutions

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