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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 r F­ 1 and F 2 respectively. Then : (a) F 1 /F 2 = r 1 /r 2 if r 1 2 (b) F 1 /F 2 = r 2 2 /r 2 1 if r 1 > R and r 2 > R (b) F 1 /F 2 = r 2 2 / r 2 1 if r 1 > R and r 2 > R (c) F 1 /F 2 – r 1 /r 2 if r 1 > R and r 2 > R (d) F 2 /F 2 = r 2 1 / r 2 2 if r 1 2

The magnitudes of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass m r F­1 and F2 respectively. Then :
 
(a) F1/F2 = r1/r2 if r1 < R and r2 < R
(b) F1/F2 = r22/r21 if r1 > R and r2 > R
(b) F1/F2 = r22 / r21 if r1 > R and r2 > R
(c) F1/F2 – r1 /r2 if r1 > R and r2 > R
(d) F2/F2 = r21 / r22 if r1 < R and r2 < R

Grade:6

1 Answers

Deepak Patra
askIITians Faculty 471 Points
7 years ago

(a,b,) For r > R, the gravitational field is F = GM / r2

? F1 = GM/r21 and F2 GM / r22 ? F1/F2 = r22 / r21

For r < R, the gravitational field F = GM/R3 x r

? F1 = GM/R3 x r1 and F2 = GM/R3 x r2

? F1/F2 = r1 / r2

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