A satellite can be in a geostationary orbit around a planet at a dista

1.	A satellite can be in a geostationary orbit around a planet at a distance r from the centre of the planet. If the angular velocity of the planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of the planet is.(a) r/2 (b) r/2√2 (c) r/41/3 (d) r/21/3
Answer» Correct Answer is: (c) r/4^1/3 Time period of rotation (T) and distance (r) are related as T² ∝ r³. Also, when the angular velocity doubles, the time period becomes half.

A satellite can be in a geostationary orbit around a planet at a distance r from the centre of the planet. If the angular velocity of the planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of the planet is.(a) r/2 (b) r/2√2 (c) r/41/3 (d) r/21/3

Answer»

Correct Answer is: (c) r/4^1/3

Time period of rotation (T) and distance (r) are related as T² ∝ r³. Also, when the angular velocity doubles, the time period becomes half.

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