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JEE Advanced 2018 Paper 2

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Question : 3

Total: 54

An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ . It pierces a thin non-conducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120° at the centre O of the spherical shell, as shown in the figure. The permittivity of free space is ε0 . Which of the following statements is (are) true?

The electric flux through the shell is √3Rλ/ε0
The z component of the electric field is zero at all the points on the surface of the shell
The electric flux through the shell is √2Rλ/ε0
The electric field is normal to the surface of the shell at all points

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