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JEE Main Physics question

PhysicsGravitationJEE Main

Two spherical planets and have the same uniform density , masses and , and surface areas and respectively. A spherical planet also has uniform density and its mass is . The escape velocities from the planets , and are , and respectively. Then [IIT JEE 2012]

Answer: (B),(D)

Solution

Since surface area , area means . With uniform density , , so , and taking , : . For planet : . Escape velocity :

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Question ID VK-154761