(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

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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

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude,which of the following is not correct?

$A$ spherical planet has a mass $M$ and diameter $D$. $A$ particle of mass $m$ falling freely near the surface of this planet will experience an acceleration due to gravity equal to:

$A$ ball is launched from the top of Mt. Everest,which is at an elevation of $9000 \, m$. The ball moves in a circular orbit around the Earth. Acceleration due to gravity near the Earth's surface is $g$. The magnitude of the ball's acceleration while in orbit is

The density of a planet is $3$ times that of Earth and its radius is $2.5$ times that of Earth. If $g_p$ and $g_e$ represent the acceleration due to gravity on the planet and Earth respectively, then the ratio of $g_p$ to $g_e$ is:

The mass of the moon is $7.34 \times 10^{22} \ kg$ and the radius of the moon is $1.74 \times 10^6 \ m$. The value of gravitational acceleration on the moon will be ....... $N/kg$.

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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