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)

1. A ${{{R^2}{\omega ^2}} \over {2g}}$ Correct answer
2. B ${{{R^2}{\omega ^2}} \over g}$
3. C ${{{R^2}{\omega ^2}} \over {8g}}$
4. D ${{{R^2}{\omega ^2}} \over {4g}}$