1
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
$$\frac{\mathrm{V}}{\mathrm{r}}$$
2
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
3
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.
4
NEET 2023
+4
-1

An electric dipole is placed as shown in the figure.

The electric potential (in 102 V) at point P due to the dipole is ($$\in_0$$ = permittivity of free space and $$\frac{1}{4 \pi \epsilon_{0}}$$ = K) :

A
$$\left(\frac{5}{8}\right) \mathrm{qK}$$
B
$$\left(\frac{8}{5}\right) \mathrm{qK}$$
C
$$\left(\frac{8}{3}\right) \mathrm{qK}$$
D
$$\left(\frac{3}{8}\right) \mathrm{qK}$$
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