(C) The acceleration due to gravity $g$ on the surface of the Earth is given by $g = \frac{GM}{R^2}$.$(1)$ The value of $g$ is maximum at the poles be

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(C) The acceleration due to gravity $g$ on the surface of the Earth is given by $g = \frac{GM}{R^2}$.$(1)$ The value of $g$ is maximum at the poles because the radius of the Earth $R$ is minimum at the poles $(R_{pole} $(2)$ The value of $g$ is minimum at the equator because the radius of the Earth $R$ is maximum at the equator.$(3)$ The value of $g$ is zero at the center of the Earth because the mass of the Earth enclosed within a sphere of radius $r$ becomes zero as $r \to 0$.Therefore,the correct matching is $(1-b), (2-c), (3-a)$.

Class 11 Physics Gravitation Acceleration Due to Gravity and its Variation

Medium

Match Column-$I$ with Column-$II$.

Column-$I$ Column-$II$

$(1)$ Maximum value of acceleration due to gravity $g$ $(a)$ At the center of the Earth

$(2)$ Minimum value of acceleration due to gravity $g$ $(b)$ At the poles

$(3)$ Zero value of acceleration due to gravity $g$ $(c)$ At the equator

A
$(1-a), (2-c), (3-b)$
B
$(1-c), (2-b), (3-a)$
C
$(1-b), (2-c), (3-a)$
D
$(1-a), (2-b), (3-c)$

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Gravitation

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Acceleration Due to Gravity and its Variation

Two planets have the same average density but their radii are $R_1$ and $R_2$. If acceleration due to gravity on these planets be $g_1$ and $g_2$ respectively,then

MediumAIIMS 1985

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Two planets have radii $R_1$ and $R_2$ and densities $\rho_1$ and $\rho_2$ respectively. Find the ratio of the acceleration due to gravity on these planets.

Medium

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At what altitude in metres will the acceleration due to gravity be $25\%$ of that at the earth's surface? (Radius of earth $= R \ m$)

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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:

EasyJEE MAIN 2023

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Given below are two statements:
Statement-$I$: Acceleration due to gravity is different at different places on the surface of Earth.
Statement-$II$: Acceleration due to gravity increases as we go down below the Earth's surface.
In the light of the above statements,choose the correct answer from the options given below:

MediumJEE MAIN 2023

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Column-$I$	Column-$II$
$(1)$ Maximum value of acceleration due to gravity $g$	$(a)$ At the center of the Earth
$(2)$ Minimum value of acceleration due to gravity $g$	$(b)$ At the poles
$(3)$ Zero value of acceleration due to gravity $g$	$(c)$ At the equator

Match Column-$I$ with Column-$II$. Column-$I$ Column-$II$ $(1)$ Maximum value of acceleration due to gravity $g$ $(a)$ At the center of the Earth $(2)$ Minimum value of acceleration due to gravity $g$ $(b)$ At the poles $(3)$ Zero value of acceleration due to gravity $g$ $(c)$ At the equator

Similar Questions

Two planets have the same average density but their radii are $R_1$ and $R_2$. If acceleration due to gravity on these planets be $g_1$ and $g_2$ respectively,then

Two planets have radii $R_1$ and $R_2$ and densities $\rho_1$ and $\rho_2$ respectively. Find the ratio of the acceleration due to gravity on these planets.

At what altitude in metres will the acceleration due to gravity be $25\%$ of that at the earth's surface? (Radius of earth $= R \ m$)

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:

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Match Column-$I$ with Column-$II$.

Column-$I$ Column-$II$

$(1)$ Maximum value of acceleration due to gravity $g$ $(a)$ At the center of the Earth

$(2)$ Minimum value of acceleration due to gravity $g$ $(b)$ At the poles

$(3)$ Zero value of acceleration due to gravity $g$ $(c)$ At the equator