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JEE Main 20238 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2023 · 8 April · Morning Shift · Physics · Gravitation

The weight of a body on the earth is 400N . Then weight of the body...

The weight of a body on the earth is 400N.400N . Then weight of the body when taken to a depth half of the radius of the earth will be:

Options

  1. A200N200N
  2. BZero
  3. C100N100N
  4. D300N300N

Correct answer

A. 200N200N

Step-by-step solution

The acceleration due to gravity changes with depth from the surface, which is given by

g′=g(1−dR)...(i)g ' = g\left(1 - \dfrac{d}{R}\right) . . . ( i )

The given data is

W=400Nd=R2W = 400Nd = \dfrac{R}{2}

Multiplying equation (i) with the mass we get the weight.

mg′=mg(1−R2R)=mg(12)⇒W′=400N2=200Nmg ' = mg\left(1 - \dfrac{\dfrac{R}{2}}{R}\right) = mg\left(\dfrac{1}{2}\right) ⇒ W ' = \dfrac{400N}{2} = 200N

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