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MHT CET Physics question

PhysicsGravitationMHT CET

Let be the angular velocity of earth's rotation about the axis. Assume the acceleration due to gravity on the earth's surface has the same value at the equator and poles. An object weighed at the equator gives the same reading as a reading taken at a depth below earth's surface at the pole (). The value of is,

Answer: (A)

Solution

At the equator and at depth at the pole ; equating gives

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Question ID VK-060126