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7.Gravitation
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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 $=6400\; \mathrm{km}$)
A
$195.66$
B
$194.66$
C
$194.32$
D
$195.32$
(JEE MAIN-2020)
Solution
at equater$\mathrm{W}=mg-\mathrm{m} \omega^{2} \mathrm{R}$
$=196-(19.6)\left[\frac{2 \pi}{24 \times 3600}\right]^{2} \times 6400 \times 10^{3}$
$=195.33 \mathrm{N}$
Standard 11
Physics
