Q.

According to Kepler’s laws a planet moves in an elliptic orbit with the sun at a focus of the ellipse. Taking the planet and the sun to be point masses, the torque on the planet with respect to sun

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a

Is zero at all times

b

Varies with time

c

Can be non zero but constant in time

d

Cannot be defined for an elliptical orbit

answer is A.

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Detailed Solution

torque = r⇀x F⇀   here r⇀ is always  parallel to F⇀
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According to Kepler’s laws a planet moves in an elliptic orbit with the sun at a focus of the ellipse. Taking the planet and the sun to be point masses, the torque on the planet with respect to sun