1
NEET 2023 Manipur
+4
-1

A charge $$\mathrm{Q} ~\mu \mathrm{C}$$ is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit) :

A
$$\frac{Q}{\epsilon_0} \times 10^{-6}$$
B
$$\frac{2 \mathrm{Q}}{3 \epsilon_0} \times 10^{-3}$$
C
$$\frac{\mathrm{Q}}{6 \epsilon_0} \times 10^{-3}$$
D
$$\frac{\mathrm{Q}}{6 \epsilon_0} \times 10^{-6}$$
2
NEET 2023 Manipur
+4
-1

If a conducting sphere of radius $$\mathrm{R}$$ is charged. Then the electric field at a distance $$\mathrm{r}(\mathrm{r} > \mathrm{R})$$ from the centre of the sphere would be, $$(\mathrm{V}=$$ potential on the surface of the sphere)

A
$$\frac{r V}{R^2}$$
B
$$\frac{R^2 V}{r^3}$$
C
$$\frac{R V}{r^2}$$
D
$$\frac{\mathrm{V}}{\mathrm{r}}$$
3
NEET 2023
+4
-1

An electric dipole is placed at an angle of $$30^{\circ}$$ with an electric field of intensity $$2 \times 10^{5} \mathrm{NC}^{-1}$$. It experiences a torque equal to $$4 ~\mathrm{N~m}$$. Calculate the magnitude of charge on the dipole, if the dipole length is $$2 \mathrm{~cm}$$.

A
6 mC
B
4 mC
C
2 mC
D
8 mC
4
NEET 2023
+4
-1

If $$\oint_\limits{s} \vec{E} \cdot \overrightarrow{d S}=0$$ over a surface, then:

A
the magnitude of electric field on the surface is constant.
B
all the charges must necessarily be inside the surface.
C
the electric field inside the surface is necessarily uniform.
D
the number of flux lines entering the surface must be equal to the number of flux lines leaving it.
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