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 ω. 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) R2ω2/2g
(2) R2ω2/g
(3) R2ω2/8g
(4) R2ω2/4g