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An infinitely long thin non-conduction w...

An infinitely long thin non-conduction wire is parallel to the z-axis and carries a uniform line charge density `lambda`. It pierces a thin non-conducting spherical shell of radius r in such a way that that the are PQ subtends an angle `120^(@)` at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is `epsi_(0)`. which of the following statements is (are) true ?

A

The electric flux through the shell is `sqrt(3)Rlambda//epsi_(0)`

B

The z-component of the electric field is zero at all the points on the surface of the shell

C

The electric flux through the shell is `sqrt(2)Rlambda//epsi_(0)`

D

The electric field is normal to the surface of the shell at all points

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The correct Answer is:
A, B
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