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CBSE Class 12-science Answered

A point charge (q) is enclosed inside a spherical shell of radius 0.5 cm. the flux diverging through the surface is begin mathsize 12px style 2 cross times 10 cubed N m squared divided by C end style. if the same charge were enclosed inside a spherical shell of radius 1 m, then the flux diverging will be?
(a) begin mathsize 11px style 2 cross times 10 cubed N m squared divided by C end style
(b)begin mathsize 11px style 4 cross times 10 cubed N m squared divided by C end style
(C)begin mathsize 11px style 1 cross times 10 cubed N m squared divided by C end style
(d)zero
Asked by ayushi | 24 Apr, 2016, 09:05: AM
answered-by-expert Expert Answer
The electric flux diverging through a closed surface is given from the Gauss' law as
 
begin mathsize 14px style straight ϕ equals straight q over straight epsilon subscript 0 end style
 
We can see that the flux is independent of the radius of the closed surface. Hence, when a sphere is considered
it does not matter what the radius is, if the charge enclosed is same, then the flux through the spherical shell
of radius 1 m will also be 2×103 Nm2/C.
Answered by Romal Bhansali | 25 Apr, 2016, 12:11: PM
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