question_answer

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

A)  

B)

C)

D)

Correct Answer: A

Solution :

 Intensity of gravitational field (E) of the earth with distance (r) from the centre of the earth \[{{E}_{inside}}=-\frac{GMr}{{{R}^{3}}}\Rightarrow {{E}_{inside}}\propto -r\] \[{{E}_{outside}}=-\frac{GM}{{{r}^{2}}}\Rightarrow {{E}_{outside}}\propto -\frac{1}{{{r}^{2}}}\]