A solid sphere of mass m and radius r is placed inside a hollow spherical shell of mass 4 m and radius 4r find gravitational field intensity at:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(– 
)
Sol. r < y < 2r
Field due to outershell = 0
Distance from center of solid spere = (y – r)
Gravitation field intensity
= – 
× distance from center
= – 
(y – r) in y - direction y
= – 
(y – r) 
= 
(y – r) (– 
)
Field due to outshell = 0
Distance from center of solid spere = (y – r)
E = 0 – 
= 
(– 
)
y > 8r
For any point outside, the shells acts as point situated at center.
Distance from center of hollow shell = (y – 4r)
Field due to hollow shell = – 
Distance from center of solid spere = (y – r)
Field due to solid spere = – 
Total field = 
(– 
)
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