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A non-conducting solid sphere of radius ...

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric filed due to the sphere at a distance r from its centre

A

increases as r increases , for `rltR`

B

decreases as r increases , for `0ltrltrltoo`

C

decreases as r increases , for `Rltrltoo`

D

is discontinous at r = R.

Text Solution

Verified by Experts

The correct Answer is:
(a,c)

Due to a charge non - conducting sphere,
(i) Intensity inside sphere `=E_(1)`
`E_(1)=(1)/(4piepsilon_(0))(Q)/(R^(3))r`
`thereforeE_(1)propr," for "r ltR, " as"(OA)`in figure.
Option (a) is correct.
(ii) Intensity outside sphere `=E_(2)`
`E_(2)=(1)/(4piepsilon_(0))(Q)/(r^(2))` when `Rltrltoo`
`thereforeE_(2)prop(1)/(r^(2))`, as (AB) in the figure.
`thereforeE_(2)` decreases as r increases . Option (c ) is correct.
(iii) Option (b) is incorrect in view of (a) and (c ) above.
(iv) Intensity at surface `=E_(0)`
`thereforeE_(0)=(1)/(4piepsilon_(0))(Q)/(R^(2))`, at point A in the figure.
`E_(0)` is continuous at r = R . Option (d) is incorrect
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