Physics

Problem

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 \ll R

, where

R

is the radius of the earth) a.

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

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

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

\frac{R^2 \omega^2}{8g}