As we go from the equator to the poles, the value of $g$
Remains the same
Decreases
Increases
Decreases upto a latitude of $45^°$
Write the equation of gravitation acceleration which is used for any height from the surface of earth.
A body of mass $m$ is taken to the bottom of a deep mine. Then
Given below are two statements:
Statement $I:$ Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.
Statement $II:$ Acceleration due to earth's gravity is same at a height ' $h$ ' and depth ' $d$ ' from earth's surface, if $h = d$.
In the light of above statements, choose the most appropriate answer form the options given below
Acceleration due to gravity is$ ‘g’ $on the surface of the earth. The value of acceleration due to gravity at a height of $32\, km$ above earth’s surface is ........ $g$. (Radius of the earth$ = 6400 \,km$)
Two planets $A$ and $B$ of radii $R$ and $1.5 R$ have densities $\rho$ and $\rho / 2$ respectively. The ratio of acceleration due to gravity at the surface of $B$ to $A$ is :