Gravitation - Result Question 37

39. A satellite $S$ is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,

[2015 RS]

(a) the total mechanical energy of $S$ varies periodically with time.

(b) the linear momentum of S remains constant in magnitude.

(c) the acceleration of $S$ is always directed towards the centre of the earth.

(d) the angular momentum of $S$ about the centre of the earth changes in direction, but its magnitude remains constant.

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Answer:

Correct Answer: 39. (c)

Solution:

  1. (c) The gravitational force on the satellite will be aiming towards the centre of the earth so acceleration of the satellite will also be aiming towards the centre of the earth.