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. | \(\frac{Q}{\varepsilon_0}\times10^{-6}\) | 2. | \(\frac{2Q}{3\varepsilon_0}\times10^{-3}\) |
3. | \(\frac{Q}{6\varepsilon_0}\times10^{-3}\) | 4. | \(\frac{Q}{6\varepsilon_0}\times10^{-6} \) |
1. | \(2~\text{mC}\) | 2. | \(8~\text{mC}\) |
3. | \(6~\text{mC}\) | 4. | \(4~\text{mC}\) |
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. | \(10^{20}\) | 2. | \(10^{30}\) |
3. | \(10^{40}\) | 4. | \(10\) |
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. | \(\frac{1}{{R}^{6}}\) | 2. | \(\frac{1}{{R}^{2}}\) |
3. | \(\frac{1}{{R}^{3}}\) | 4. | \(\frac{1}{{R}^{4}}\) |
List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
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A | Field inside thin shell | I | \( \frac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
B | Field outside thin shell | II | \( \frac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
C | Field of thin shell at the surface | III | \( \frac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
D | Field due to long charged wire | IV | zero |