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An infinite sheet carrying a uniform sur...

An infinite sheet carrying a uniform surface charge density `sigma` lies on the xy-plane. The work done to carry a charge q from the point `vecA = a(hati + 2hatj + 3hatk)` to the point `vecB = alpha (hati - 2hatj + 6 hatk)` (where as a constant with the dimension of length and `epsilon_0` is the permittivity of free space) is

A

`(3 sigma a q)/(2 epsilon_0)`

B

`(2 sigma a q)/(epsilon_0)`

C

`(5 sigma a q)/(2 epsilon_0)`

D

`(3 sigma a q)/(epsilon_0)`

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