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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Gravitation

NEET 2019 · Physics · Gravitation

A body weighs 200N on the surface of the earth. How much will it...

A body weighs 200N200N on the surface of the earth. How much will it weigh half way down to the centre of the earth?

Options

  1. A150N150N
  2. B200N200N
  3. C250N250N
  4. D100N100N

Correct answer

D. 100N100N

Step-by-step solution

Weight =mg=mGMR2=W= mg = m\dfrac{GM}{{R}^{2}} = W
At half way down to the centre, W′=mGMR3(R2)3(R2)2{W}^{'} = \dfrac{m\dfrac{GM}{{R}^{3}}{\left(\dfrac{R}{2}\right)}^{3}}{{\left(\dfrac{R}{2}\right)}^{2}}
=mGM2R2= m\dfrac{GM}{2{R}^{2}}
=100N= 100N
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