- 1(current)
Q. No.Match List-I with List-II:
(Here symbols have their usual meaning and \(R\) is the radius of the thin shell)
Choose the correct answer from the options given below:
| List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
||
| \(\mathrm{(A)}\) | The field inside a thin shell | \(\mathrm{(I)}\) | \( \dfrac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
| \(\mathrm{(B)}\) | The field outside a thin shell | \(\mathrm{(II)}\) | \( \dfrac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
| \(\mathrm{(C)}\) | The field of thin shell at the surface | \(\mathrm{(III)}\) | \( \dfrac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
| \(\mathrm{(D)}\) | The field due to a long charged wire | \(\mathrm{(IV)}\) | zero |
Choose the correct answer from the options given below:
| 1. | \(\mathrm{A-IV, B-III, C-I, D-II}\) |
| 2. | \(\mathrm{A-I, B-II, C-III, D-IV}\) |
| 3. | \(\mathrm{A-IV, B-III, C-II, D-I}\) |
| 4. | \(\mathrm{A-I, B-III, C-II, D-IV}\) |
Subtopic: Â Gauss's Law |
 85%
Level 1: 80%+
NEET - 2024
Hints
If \(\oint_s \vec{E} \cdot {d \vec S}=0\) over a surface, then:
| 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. |
Subtopic: Â Gauss's Law |
 82%
Level 1: 80%+
NEET - 2023
Hints
According to Gauss's law in electrostatics, the electric flux through a closed surface depends on:
| 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 |
Subtopic: Â Gauss's Law |
 85%
Level 1: 80%+
NEET - 2023
Hints
A charge \(Q~\mu\text{C}\) is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI units):
| 1. | \(\dfrac{Q}{\varepsilon_0}\times10^{-6}\) | 2. | \(\dfrac{2Q}{3\varepsilon_0}\times10^{-3}\) |
| 3. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-3}\) | 4. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-6} \) |
Subtopic: Â Gauss's Law |
 78%
Level 2: 60%+
NEET - 2023
Hints
Two parallel infinite line charges with linear charge densities \(+\lambda~\text{C/m}\) and \(+\lambda~\text{C/m}\) are placed at a distance \({R}.\) The electric field mid-way between the two line charges is:
| 1. | \(\frac{\lambda}{2 \pi \varepsilon_0 {R}}~\text{N/C}\) | 2. | zero |
| 3. | \(\frac{2\lambda}{ \pi \varepsilon_0 {R}} ~\text{N/C}\) | 4. | \(\frac{\lambda}{ \pi \varepsilon_0 {R}}~\text{N/C}\) |
Subtopic: Â Gauss's Law |
 70%
Level 2: 60%+
NEET - 2019
Hints
Links
A sphere encloses an electric dipole with charges \(\pm3\times10^{-6}~\text C.\) What is the total electric flux through the sphere?
1. \(-3\times10^{-6}~\text{N-m}^2/\text C\)
2. zero
3. \(3\times10^{-6}~\text{N-m}^2/\text C\)
4. \(6\times10^{-6}~\text{N-m}^2/\text C\)
Subtopic: Â Gauss's Law |
 91%
Level 1: 80%+
NEET - 2019
Hints
Links
- 1(current)
Q. No.
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