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)

Question

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

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

${{{R^2}{\omega ^2}} \over {8g}}$

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

Solution

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