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JEE Main Physics question

PhysicsGravitationJEE Main

A bullet is fired vertically upwards with velocity from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is th of its value at the surface of the planet. If the escape velocity from the planet is , then the value of is (ignore energy loss due to atmosphere) [JEE Advanced 2015]

Answer: 2

Solution

At maximum height , . By energy conservation from the surface (speed ) to the top (speed ):

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Question ID VK-154793