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Gravitation question

2019 · Q123
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Gravitation question

2019 · Q123

NEETPhysicsGravitationMCQ+4 / −1
A body weight 200 N on the surface of earth. How much will it weight half way down to the centre of the earth?
  1. A
    200 N
  2. B
    250 N
  3. C
    100 N
  4. D
    150 N
View written solutionFree

Correct answer: C

Accelerattion due to gravity at a depth d from surface of Earth

ggg' = g(1−dR)g\left( {1 - {d \over R}} \right)g(1−Rd​) ....(1)

Multiplying by mass 'm' on both sides of equation (1)

mggg' = mg(1−dR)g\left( {1 - {d \over R}} \right)g(1−Rd​)

= 200(1−R2R)200\left( {1 - {R \over {2R}}} \right)200(1−2RR​)    (∵\because∵ d=R2{d = {R \over 2}}d=2R​)

= 2002=100{{200} \over 2} = 1002200​=100 N

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