Question

If the earth shrinks without change in mass,what will be the effect on the value of acceleration due to gravity g ?
a) It will decrease
b) It will increase
c) It will become zero
d) It will become infinite

ans: b) It will increase​

Answer 1

Answer:

If the earth shrinks without change in mass , the acceleration due to gravity will increase.  

Explanation:

The acceleration due to gravity is given by,

               $g=\frac{GM}{R^2}$

                where,

                  M →  Mass of the planet

                  G → Gravitational constant

                  R → Radius of the planet

Acceleration due to gravity is inversely proportional to the square of the radius of the planet.

So if the earth shrinks without change in mass , the acceleration due to gravity will increase.            

Answer 2

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As per the acceleration due to gravity (g),

$\longrightarrow\mathfrak{g = \frac{GM}{ {r}^{2} } }$

Where,

• g = acceleration due to gravity

• G = gravitational constant

• R = Radius of planet.

• M = mass of planet

$\longrightarrow$ Acceleration due to gravity is inversely proportional to the square of the distance between them.

• If the earth starts to shrink without change in mass, what will be the effect on value of acceleration due to gravity (g) will increase.