Electric Charges and Fields Test

Result

Electric Charges and Fields Test - 10

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Weekly Quiz Competition

Question 1
4 / -1

The surface considered for Gauss's law is called

A
Closed surface

B
Spherical surface

C
Gaussian surface

D
Plane surface

Solution

The surface that we choose for the application of Gauss's law is called Gaussian surface.
Question 2
4 / -1

If over a surface, then

A
the electric field inside the surface and on it is zero.

B
the electric field inside the surface is necessarily uniform.

C
all charges mustnecessarily be outside the surface.

D
all of these.

Solution

As
where q is charge enclosed by the surface.
when 0, q = 0
i.e., net charge enclosed by the surface must be zero. Therefore, all other charges must be outside the surface. This is because charges outside the surface do not contribute to the electric flux.
Question 3
4 / -1

If there were only one type of charge in the universe, then

A
on any surface

B
if the charge is outside the surface

C
if charges of magnitude q were inside the surface

D
both (b) and (c) are correct

Solution

According to Gauss's theorem in electrostatics

Here q is charge enclosed by the surface
If the charge is outside the surface, therefore q_inside =0
Also,
So (b) and (c) are correct
Question 4
4 / -1

A sphere encloses an electric dipole within it. The total flux across the sphere is

A
zero

B
half that due to a single charge

C
double that due to a single charge

D
dependent on the position of dipole

Solution

The net charge enclosed by the sphere is zero.
Question 5
4 / -1

A point charge 4μC is at the centre of a cubic Gaussian surface 10 cm on edge. Net electric flux through the surfce is

A
2.5 x 10⁵N m²C^-1

B
4.5 x 10⁵N m²C^-1

C
4.5 x 10⁶N m²C^-1

D
2.5 x 10⁶N m²C^-1

Solution

Here, d = 4 μC = 4 x 10^-6C, I = 10 cm