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A hallow metal sphere of radius R is uni...

A hallow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

A

Increases as r increases for `rltRand` for `rgtR`

B

Zero as r increases for `rltR`, decreases as r increases for `rgtR`

C

Zero as r increases for `rltR` , increases as r increases for `rgtR`

D

Decreases as r increases for `rltRand` for `rgtR`

Text Solution

Verified by Experts

The correct Answer is:
B

Charge Q will be distributed over the surface of hollow metal sphere
(i) For `rltR` (inside)
By Gauss law , `intvecE_(an)vecds=(q_(m))/(epsilon_(n))=0`
`rArrE_(en)=0 " (becauseq_(en)=0)`
(ii) For `rgt` R (outside)
`ointvecE_(0).vecdS=(q_(en))/(epsilon_(0))`
Here , `q_(m)=W(becauseq_(m)=Q)`
`thereforeE_(0)4pir^(2)=(Q)/(epsilon_(0))" " thereforeE_(n)prop(1)/(r^(2))`
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