JEE Main Physics question

PhysicsGravitationJEE Main

A planet of mass is revolving round the sun (of mass ). Its distance from the sun at apogee is and at perigee is . and are the velocities of the planet at apogee and perigee respectively, and is the time period of revolution of the planet round the sun. Then

Answer: (B),(C),(D)

Solution

Kepler's third law with semi-major axis gives — this must use the sun's mass (not the planet's mass ), so (A) is wrong and (B) is correct. At the two apsides the velocity is purely

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Question ID VK-154501