A perfectly conduction metal plate is placed in x-y plane in a right handed coordinate system. A charge of +32πε0√2 columbs is placed at coordinate (0, 0, 2). ϵ0 is the permittivity of free space. Assume \(\hat 1,\;\hat j,\;\hat k\) to be unit vectors along x, y and z axes respectively. At the coordinate. (√2, √2, 0), the electric field vector \(\vec E\) (Newtons/Columb) will be

A perfectly conduction metal plate is placed in x-y plane in a right h

1.	A perfectly conduction metal plate is placed in x-y plane in a right handed coordinate system. A charge of +32πε0√2 columbs is placed at coordinate (0, 0, 2). ϵ0 is the permittivity of free space. Assume \(\hat 1,\;\hat j,\;\hat k\) to be unit vectors along x, y and z axes respectively. At the coordinate. (√2, √2, 0), the electric field vector \(\vec E\) (Newtons/Columb) will be
A.	\(2\sqrt 2 \hat k\)
B.	\( - 2\;\hat k\)
C.	\(2\;\hat k\)
D.	\( - 2\sqrt 2 \;\hat k\)
Answer» C. \(2\;\hat k\)

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