question_answer

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below

(1)

(2)

(3)

(4)

    The correct figure is                                                       

A)  (4)                        

B)  (1)                        

C)  (2)                        

D)  (3)

Correct Answer: D

Solution :

\[\because g\propto r\]                                                \[[if\,r<R]\] and\[g\propto \frac{1}{{{r}_{2}}}\]                                          \[(if\,r>R)\] So, the correct figure will be