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#Engineering

In acceleration due to gravity in the earth's surface at the poles is g and angular velocity of the earth about the axis passing through the poles is $\omega$ An object is weighted at the equator & at the height h above the poles by using a spring balance. If the weights are found to be the same, then h is (h <<R where R = radius of the earth)
Option: 1 $\frac{R^2\omega^2}{4g}$
Option: 2 $\frac{R^2\omega^2}{g}$
Option: 3 $\frac{R^2\omega^2}{2g}$
Option: 4 $\frac{R^2\omega^2}{8g}$

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