Gauss Law And Field Due To Charge Distribution MCQ - IIT JAM MCQ

Flux across a closed surface, 
Since,  so, charge enclosed q = 0

The correct answer is: the net charge inside the surface must be zero

As the potential V=−∫Edr so the electric potential at r due to charge inside a sphere of radius r only.

Potential at the surface of inner sphere = 0 (grounded)

Electric flux  = E.A

The correct answer is: volt × metre

When the charge is placed at the mid point, opposite charge will induced on both the plates equally. But when q is displaced toward the right, more charge of the opposite sign will get induced on the right plate than on the left plate. Hence the point charge will feel a net attraction towards the right plate.

The correct answer is: Move towards the right plate

From Gauss Law of electrostatics  

The correct answer is: a uniform charged non-conducting sphere of radius OP  with centre at O.

Since, flux across a closed surface depends only on the charge enclosed. So, it will remain same

The correct answer is: remain the same

For yz plane,

So, flux across yz plane is given by

The correct answer is: 7Vm