1. | the electric field inside the surface is necessarily uniform. |
2. | the number of flux lines entering the surface must be equal to the number of flux lines leaving it. |
3. | the magnitude of electric field on the surface is constant. |
4. | all the charges must necessarily be inside the surface. |
1. | \(2~\mathrm{mC}\) | 2. | \(8~\mathrm{mC}\) |
3. | \(6~\mathrm{mC}\) | 4. | \(4~\mathrm{mC}\) |
1. | the area of the surface |
2. | the quantity of charges enclosed by the surface |
3. | the shape of the surface |
4. | the volume enclosed by the surface |
1. | \(\frac{1}{\mathrm{R}^{6}}\) | 2. | \(\frac{1}{\mathrm{R}^{2}}\) |
3. | \(\frac{1}{\mathrm{R}^{3}}\) | 4. | \(\frac{1}{\mathrm{R}^{4}}\) |
Twelve point charges each of charge \(q\) C are placed at the circumference of a circle of radius \(r\) m with equal angular spacing. If one of the charges is removed, the net electric field (in N/C) at the centre of the circle is:
(\(\varepsilon_0 \)-permittivity of free space)
1. \(\frac{13q}{4\pi \varepsilon_0r^2}\)
2. zero
3. \(\frac{q}{4\pi \varepsilon_0r^2}\)
4. \(\frac{12q}{4\pi \varepsilon_0r^2}\)
1. | \(10^{20}\) | 2. | \(10^{30}\) |
3. | \(10^{40}\) | 4. | \(10\) |
Polar molecules are the molecules:
1. | that acquires a dipole moment only when the magnetic field is absent. |
2. | has a permanent electric dipole moment. |
3. | has zero dipole moment. |
4. | that acquire a dipole moment only in the presence of an electric field due to displacement of charges. |
A dipole is placed in an electric field as shown. In which direction will it move?
1. | towards the left as its potential energy will decrease. |
2. | towards the right as its potential energy will increase. |
3. | towards the left as its potential energy will increase. |
4. | towards the right as its potential energy will decrease. |
A spherical conductor of radius 10 cm has a charge of \(3.2 \times 10^{-7}~\mathrm{C}\) distributed uniformly. What is the magnitude of the electric field at a point 15 cm from the center of the sphere?
1. 1.28 x N/C
2. 1.28 x N/C
3. 1.28 x N/C
4. 1.28 x N/C