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JEE Main202124 Feb 2021Evening ShiftPhysicsGravitationActual

A body weighs 49 N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine, if it is shifted to the equator? [Use g = G M R 2 = 9 . 8 m s - 2 and radius of earth, R = 6400 km . ]

Options

  1. A49 . 17   N
  2. B48 . 83   N
  3. C49 . 83   N
  4. D49   N

Correct answer

B. 48 . 83   N

Step-by-step solution

Weight of pole = m g = 49   N At equator due to rotation = g e = g - R ω 2 so W = m g e = m g - R ω 2 ∴     W P > W e W p = 49   N So, W e = 48 . 83   N . W e < 49   N

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