The acceleration due to gravity |Gravitation| JEE-MAIN 2020

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JEE-MAIN 2020

05-09-2020 S2

Question

The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through the pole is $\omega$. An object is weighed at the equator and at a height h above the poles by using a spring balance. If the weights are found to be same, then h is (h << R, where R is the radius of the earth)

Select the correct option:

A

$\frac{\mathrm{R}^2 \omega^2}{2 \mathrm{~g}}$

B

$\frac{R^2 \omega^2}{g}$

C

$\frac{\mathrm{R}^2 \omega^2}{8 \mathrm{~g}}$

D

$\frac{R^2 \omega^2}{4 g}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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