Statement I : The weight of a body becomes zero at the centre of a uniform solid Earth because the net gravitational pull from all directions cancels out completely. Statement II : The apparent weight of a body at the equator becomes zero if the Earth spins with an angular speed = g R , because the required centripetal acceleration equals the acceleration due to gravity. In the light of the above statements, choose t

Step-by-step solution

For Statement I: At the centre of a uniform solid Earth, the gravitational field is zero because the gravitational pulls from all parts of the Earth cancel each other out due to symmetry. Since acceleration due to gravity is zero, the weight of the body ( W = mg ) becomes zero. Thus, Statement I is true. For Statement II: The apparent acceleration due to gravity at the equator considering the Earth's rotation is given by g' = g - R ^2 . For the apparent weight to be zero, g' must be zero. This gives g - R ^2 = 0 ,