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Question

Find the total flux due to charge q associated with the given hemispherical surface
1051442_0761b2517a5243fe8fb37d7c196eef4c.PNG

A
(a)q2ε0,(b)0,(c)qε0,(d)0,(e)0
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B
(a)0,(b)q2ε0,(c)0,(d)qε0,(e)0
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C
(a)q2ε0,(b)qε0,(c)0,(d)qε0,(e)0
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D
(a)0,(b)q2ε0,(c)0,(d)qε0,(e)qε0
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Solution

The correct option is C (a)q2ε0,(b)0,(c)qε0,(d)0,(e)0
In figure (b), (d), (e) , Total charge enclosed the surface is zero.
According to Gauss's Law
ϕ=E.dl=qε0
ϕ=0
ϕa=q2ε0
ϕc=qε0
So, the correct option is A.

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