The magnitude of the gravitational force at distance $r_{1}$ and $r_{2}$ from the centre of a uniform sphere of radius R and mass M are $F_{1}$ and $F_{2}$ respectively. Then,

Q. The magnitudes of the gravitational field at distance

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 :

Q. The magnitude of gravitational field at distances

r_{1}

and

r_{2}

from the centre of a uniform sphere of radius R and mass M is given by

F_{1}

and

F_{2}

respectively. Then which of the following is true?
(

I f r_{1} < R

and

r_{2} < R

)

The magnitude of the gravitational force at distance $r_{1}$ and $r_{2}$ from the centre of a uniform sphere of radius R and mass M are $F_{1}$ and $F_{2}$ respectively. Then,

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The magnitude of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively then

The correct options are A (F1/F2)=(r1/r2) if r1<R and r2<R B (F1/F2)=(r1/r2)2 if r1>R and r2>RF∝r (r<R)F∝1r2(r>R)F1F2=r1r2 if r<R and F1F2=(r2r1)2 if r>RHence (A) and (B) are correct.

The magnitude of the gravitational field at distance $r_{1}$ and $r_{2}$ from the centre of a uniform sphere of radius $R$ and mass $M$ are $F_{1}$ and $F_{2}$ respectively then