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JEE Main20207 Jan 2020Evening ShiftPhysicsGravitationActual

A box weighs 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10 m s - 2 at the north pole and the radius of the earth = 6400 k m ):

Options

  1. A195.66 N
  2. B194.32 N
  3. C194.66 N
  4. D195.32 N

Correct answer

D. 195.32 N

Step-by-step solution

At pole, weight m g = 196 m = 19 . 6 k g At equator, weight = m g - m ω 2 R = 196 - 19.6 2 π 24 × 3600 2 × 6400 × 10 3 = 195.32 N

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