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JEE Mains · Physics · STD 11 - 7. gravitation

A box weighs \(196 \;\mathrm{N}\) 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 ....... \(N\) (Take \(\mathrm{g}=10\; \mathrm{ms}^{-2}\) at the north pole and the radius of the earth \(=6400\; \mathrm{km}\))

  1. A \(195.66\)
  2. B \(194.66\)
  3. C \(194.32\)
  4. D \(195.32\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(195.32\)

Step-by-step Solution

Detailed explanation

at equater\(\mathrm{W}=mg-\mathrm{m} \omega^{2} \mathrm{R}\) \(=196-(19.6)\left[\frac{2 \pi}{24 \times 3600}\right]^{2} \times 6400 \times 10^{3}\) \(=195.33 \mathrm{N}\)
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