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JEE Main 201816 AprilOnline
Exam
JEE Main
Year
2018
Date
16 April
Mode
Online
Subject
Physics
Chapter
Gravitation

JEE Main 2018 · 16 April · Online · Physics · Gravitation

Suppose that the angular velocity of rotation of the Earth is...

Suppose that the angular velocity of rotation of the Earth is increased. Then, as a consequence,

Options

  1. Aweight of the object, everywhere on the earth, will decrease.
  2. Bweight of the object, everywhere on the earth, will increase.
  3. Cexcept at poles, weight of the object on the earth, will decrease.
  4. Dthere will be no change in weight anywhere on the earth.

Correct answer

C. except at poles, weight of the object on the earth, will decrease.

Step-by-step solution

Effective acceleration due to gravity, g′=g−ω2Rcos⁡2ϕ{g}^{′} = g - {\omega}^{2}R\cos^{2} ϕ, where ϕϕ is latitude. There will be no change in gravity at poles as ϕ=90oϕ = {90}^{o}. At other points as ω\omega increases, g′g ' will decrease.
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