Question

If both the mass and radius of the earth decrease by $1$. then

• A. the escape velocity would increase
• B. the escape velocity would decrease
• C. the acceleration due to gravity would decrease
• D. the acceleration due to gravity would increase

Answer 1

Answer: (D)

the acceleration due to gravity would increase

Answer 2

$g = \frac{GM}{R^2}$
and $\upsilon_e = \sqrt{2gR} = \sqrt{\frac{2GM}{R^2} \times R}$
Clearly reduction in R will increase g .