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  • Let be the gravitational potential and gravitational field at a distance <img alt="\mathrm

Let \mathrm{V \: and \: E} be the gravitational potential and gravitational field at a distance \mathrm{ r} from the centre of a uniform spherical shell. Consider the following two statements

(A) The plot of \mathrm{V} against \mathrm{ r} is discontinuous and (B) The plot of \mathrm{E} against \mathrm{ r} is discontinuous:
 

Option: 1

Both A and B are correct


Option: 2

A is correct but B is wrong


Option: 3

B is correct but A is wrong


Option: 4

Both A and B are wrong.


Answers (1)

best_answer

Gravitational potential inside the shell remains constant where as intensity \mathrm{I} of the gravitational field is zero. The value of I jumps from zero to \mathrm{\frac{ GM}{R^{2}}}at the surface of the spherical shell. That means it is discontinuous but not the potential the distance r As all the points inside the shell are equipotential.

 \Rightarrow \mathrm{B} is correct and \mathrm{A} is wrong.

Posted by

manish painkra

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