MCQ
This question contains Statement$-1$ and Statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements. 
Statement$-1$: For a mass $M$ kept at the centre ofa cube of side '$a$', the flux of gravitational field passing through its  sides $4\pi GM.$
Statement$-2$: If the direction of a field due to a point source is radial and its dependence on the distance '$r$' from the source is given as $\frac{1}{r^2}$ , its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.
  • A
    Statement $-1$ is false, Statement$-2$ is true
  • Statement $-1$ is true, Statement$-2$ is true; Statement $-2$ is a correct explanation for Statement$-1$
  • C
    Statement $-1$ is true, Statement$-2$ is true; Statement $-2$ is not a correct explanation for Statement$-1$
  • D
    Statement $-1$ is true, Statement$-2$ is false

Answer

Correct option: B.
Statement $-1$ is true, Statement$-2$ is true; Statement $-2$ is a correct explanation for Statement$-1$
b
Gravitational flux through a closed surface is given by

$\int {\overrightarrow {{E_g}}\, \overrightarrow d }S =  - 4\pi GM$

$where,\,M = mass\,enclosed\,in\,the\,closed\,surface$

This relationship is valid When $\left| {{E_g}} \right| \propto \frac{1}{{{r^2}}}.$

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