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JEE Main Physics question

PhysicsGravitationJEE Main

A rocket is sent vertically up with a velocity less than the escape velocity from the earth. Taking and as the mass and radius of earth, the maximum height attained by the rocket is given by the following expression

Answer: (C)

Solution

Energy conservation from launch to the highest point (where speed is zero): . Rearranging,

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Question ID VK-154328