wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The magnitudes of the gravitational field at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2, respectively. Then.

A
F1F2=r1r2 if r1<R and r2<R
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
r22r2 if r1>R and r2>R
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
F1F2=r1r2 if r1>R and r2>R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
F1F2=r21r22 if r1<R and r2<R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A F1F2=r1r2 if r1<R and r2<R
B r22r2 if r1>R and r2>R
For a solid sphere of mass M and radius R -
Gravitational field =GMr2 ( r> Radius of sphere )
=GMrR3 (r<R)
If r1<R and r2<R
F1=GMr1R3 and F2=GMr2R3
F1F2=r1r2
Option (A) is correct.

If r1<R and r2<R
F1=GMR21 and F2=GMR22
F1F2=r22r21
Hence, option A and B correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Variation in g
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon