Answer

Verified

446.4k+ views

**Hint:**Using Newton’s law of gravitation find the equation of gravitational constant and acceleration due to gravity. And according to the formula use the relation between acceleration due ro gravity and radius.

**Formula used:**

$ g=\quad G\dfrac { M }{ { R }_{ E }^{ 2 } }$

**Complete step-by-step answer:**

Equation of gravitational constant and acceleration due to gravity can be calculated as shown below:

Suppose, a body of mass m is placed on the surface of earth and assumes the shape of the earth to be round. If mass of the earth is M and radius of earth is $ { R }_{ E }$, then by Newton’s law of gravitation we get,

$ F=\quad G\dfrac { Mm }{ { R }_{ E }^{ 2 } }$ …(1)

where, G: Gravitational Constant

Now, from Newton’s Second law of motion,

$ F=\quad mg$ …(2)

where, g: Acceleration due to gravity

From eq.(1) and eq.(2) we get,

$ mg=\quad G\dfrac { Mm }{ { R }_{ E }^{ 2 } }$

$ \therefore \quad g=\quad G\dfrac { M }{ { R }_{ E }^{ 2 } }$

So from the above equation, we can say the value of acceleration due to gravity is least at the maximum radius. Radius is maximum at the equator which means acceleration due to gravity is least at equator.

**So, the correct answer is “Option C”.**

**Note:**

As the radius increases acceleration due to gravity decreases. And similarly as the height from the surface of earth increases, acceleration due to gravity decreases. This is given by equation,

$g=\quad G\dfrac { M }{ { ({ R }_{ E }+h) }^{ 2 } } $

where, h: height from the surface of earth

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE