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?

Question

Question

Answer 1

Concept:

The acceleration gained by an object due to gravitational force. It's value on surface of earth is 9.8 m s^-2.

Formula to calculate acceleration due to gravity is

\(g=\frac{GM}{R^2}\)

M-mass of the body, G-gravitational constant, R- distance from center of mass.

Calculation:

Given:

Universal Gravitational constant becomes ten times, then G' = 10 G

The acceleration due to gravity on Sun,\(g'=\frac{G'M'}{R^2}\)

Putting the values we get, \(g'=\frac{10 G(M)}{R^2}=\frac{ 10G(M)}{R^2}= 10g\)

So, value of acceleration due to gravity will increases

i.e. (3) is wrong option.