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Q.

Statement(A) : Comets move around the sun in highly elliptical orbits. The gravitational force on the comet due to the sun is not normal to the comet’s velocity in general. Yet the work done by the gravitational force over every complete orbit of the comet is zero.
Statement(B) : An artificial satellite orbiting the earth in very thin atmosphere loses its energy gradually due to dissipation against atmospheric resistance, however small. Its speed increase progressively as it comes closer and closer to the earth.

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a

Both A and B are true

b

Only A is true 

c

Only B is true  

d

Both A and B are false

answer is C.

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Detailed Solution

Gravitational force is a conservative force. Hence the work done depends on the initial and final positions.

In a complete revolution of the sun by a comet, the displacement becomes zero, so the work done by the gravitational force over every complete orbit of the comet is zero.

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Statement(A) : Comets move around the sun in highly elliptical orbits. The gravitational force on the comet due to the sun is not normal to the comet’s velocity in general. Yet the work done by the gravitational force over every complete orbit of the comet is zero.Statement(B) : An artificial satellite orbiting the earth in very thin atmosphere loses its energy gradually due to dissipation against atmospheric resistance, however small. Its speed increase progressively as it comes closer and closer to the earth.