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JEE Main 20207 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
7 January
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2020 · 7 January · Evening Shift · Physics · Gravitation

A box weighs 196N on a spring balance at the north pole. Its weight...

A box weighs 196N196N 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=10ms−2g = 10{ms}^{- 2} at the north pole and the radius of the earth =6400km= 6400km ):

Options

  1. A195.66N195.66N
  2. B194.32N194.32N
  3. C194.66N194.66N
  4. D195.32N195.32N

Correct answer

D. 195.32N195.32N

Step-by-step solution

At pole, weight mg=196mg = 196
m=19.6kgm = 19 . 6kg
At equator, weight =mg−mω2R= mg - m{\omega}^{2}R
=196−(19.6)[2π24×3600]2×6400×103= 196 - \left(19.6\right){\left[\dfrac{2\pi}{24 \times 3600}\right]}^{2} \times 6400 \times {10}^{3}
=195.32N= 195.32N
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