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 |
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. | 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. | \(\frac{Q}{6\varepsilon_0}\times10^{-6} \) |
Two parallel infinite line charges with linear charge densities \(+\lambda\) C/m and \(+\lambda\) C/m are placed at a distance \({R}.\) The electric field mid-way between the two line charges is:
1. \(\frac{\lambda}{2 \pi \varepsilon_0 {R}} \) N/C
2. zero
3. \(\frac{2\lambda}{ \pi \varepsilon_0 {R}} \) N/C
4. \(\frac{\lambda}{ \pi \varepsilon_0 {R}}\) N/C
A sphere encloses an electric dipole with charges \(\pm3\times10^{-6}\) C. What is the total electric flux through the sphere?
1. \(-3\times10^{-6}\) N-m2/C
2. zero
3. \(3\times10^{-6}\) N-m2/C
4. \(6\times10^{-6}\) N-m2/C