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JEE PHYSICS MCQ: GRAVITATION

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Application +4 | -1
The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to
(Take, g=10 ms−2g=10 \mathrm{~ms}^{-2} for the acceleration due to gravity, if the earth were at rest, radius of earth equal to 6400 km6400 \mathrm{~km} and λ=60\lambda=60 )
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Correct option: B
2.50×10−3 rad s−12.50 \times 10^{-3} \mathrm{~rad} \mathrm{~s}^{-1}
Option B (2.50×10−3 rad s−12.50 \times 10^{-3} \mathrm{~rad} \mathrm{~s}^{-1}) is correct because it is derived from setting the effective gravity at the equator to zero and solving for the angular velocity.

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