Question 97: Gravitation

Question

The acceleration due to gravity on the surface of earth is $$\mathrm{g}$$. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

Accepted Answer

$$\begin{aligned}
& g=\frac{G M}{R^2} \Rightarrow g \propto \frac{1}{R^2} \
& \frac{g_2}{g_1}=\frac{R_1^2}{R_2^2} \
& g_2=4 g_1\left(R_2=\frac{R_1}{2}ight)
\end{aligned}$$

Answer

g/4

Answer

2g

Answer

g/2

Answer

4g

Gravitation

The acceleration due to gravity on the surface of earth is $\mathrm{g}$. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

Choose the correct answer: