Magnitudes of gravitational field at distances r₁ and r₂ from centre of a uniform sphere of radi

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7.Gravitation

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The magnitudes of gravitational field at distances $r_1$ and $r_2$ from the centre of a uniform sphere of radius $R$ and mass $M$ are $F_1$ and $F_2$ respectively. Then-

A

$\frac{{{F_1}}}{{{F_2}}} = \frac{{{r_1}}}{{{r_2}}}$ if $r_1 < R$ and $r_2 < R$

B

$\frac{{{F_1}}}{{{F_2}}} = \frac{{{r_2^2}}}{{{r_1^2}}}$ if $r_1 < R$ and $r_2 < R$

C

All the above

D

None of the above

Solution

Inside $F\propto r$ and outside $F\propto \frac {1}{r^2}$

Standard 11

Physics

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