List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
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A. | The field inside a thin shell | I. | \( \dfrac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
B. | The field outside a thin shell | II. | \( \dfrac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
C. | The field of thin shell at the surface | III. | \( \dfrac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
D. | The field due to long charged wire | IV. | zero |
1. | A-IV, B-III, C-I, D-II |
2. | A-I, B-II, C-III, D-IV |
3. | A-IV, B-III, C-II, D-I |
4. | A-I, B-III, C-II, D-IV |
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. | \(\dfrac{Q}{\varepsilon_0}\times10^{-6}\) | 2. | \(\dfrac{2Q}{3\varepsilon_0}\times10^{-3}\) |
3. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-3}\) | 4. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-6} \) |
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. | \(\dfrac{\lambda}{2 \pi \varepsilon_0 {R}} \) N/C | 2. | zero |
3. | \(\dfrac{2\lambda}{ \pi \varepsilon_0 {R}} \) N/C | 4. | \(\dfrac{\lambda}{ \pi \varepsilon_0 {R}}\) 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