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 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

)

Q. The magnitudes of the gravitational force 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

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The magnitudes 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 option is B F1F2=r22r21 if r1>R and r2>RWe know that, g=⎧⎪ ⎪ ⎪ ⎪ ⎪ ⎪⎨⎪ ⎪ ⎪ ⎪ ⎪ ⎪⎩GMrR3;r<RGMr2;r>R So, for r1<R and r2<R, F1F2=r1r2 For r1>R and r2>R, F1F2=r22r21 Hence, options A and B are correct.

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 :