Which of the following statements is true
$g$ is less at the earth's surface than at a height above it or a depth below it
$g$ is same at all places on the surface of the earth
$g$ has its maximum value at the equator
$g$ is greater at the poles than at the equator
At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)
The height of the point vertically above the earth’s surface, at which acceleration due to gravity becomes $1\%$ of its value at the surface is (Radius of the earth $= R$)
The international space station is maintained in a nearly circular orbit with a mean altitude of $330 \,km$ and a maximum of $410 \,km$. An astronaut is floating in the space station's cabin. The acceleration of astronaut as measured from the earth is
If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.
Given below are two statements :
Statement $I$ : The law of gravitation holds good for any pair of bodies in the universe.
Statement $II$ : The weight of any person becomes zero when the person is at the centre of the earth. In the light of the above statements, choose the correct answer from the options given below.