List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
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A. | Field inside thin shell | I. | \( \dfrac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
B. | Field outside thin shell | II. | \( \dfrac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
C. | Field of thin shell at the surface | III. | \( \dfrac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
D. | Field due to long charged wire | IV. | zero |
1. | fringe width decreases. |
2. | fringe width increases. |
3. | central bright fringe becomes dark. |
4. | fringe width remains unaltered. |
1. | \(12~\Omega\) | 2. | \(9~ \Omega\) |
3. | \(3~ \Omega\) | 4. | \(2~ \Omega\) |
List-I | List-II | ||
A. | \( \oint \vec{E} \cdot d \vec{A}=\dfrac{Q}{\varepsilon_0}\) | I. | Ampere-Maxwell's Law |
B. | \( \oint \vec{B} \cdot d \vec{A}=0 \) | II. | Faraday's Law |
C. | \( \oint \vec{E} \cdot \overrightarrow{d I}=\dfrac{-d(\phi)}{d t} \) | III. | Gauss Law of electrostatics |
D. | \( \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \dfrac{d\left(\phi_E\right)}{d t}\) | IV. | Gauss's law of magnetism |
1. | A-III, B-IV, C-II, D-I | 2. | A-IV, B-III, C-II, D-I |
3. | A-III, B-II,C-IV,D-I | 4. | A-IV, B-I,C-III, D-II |
List-I (Measured values) |
List-II (Significant figures) |
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A. | \(0.001213\) | I. | \(2\) |
B. | \(2.1 \times 10^{16} \) | II. | \(3\) |
C. | \(3.70\) | III. | \(1\) |
D. | \(3000\) | IV. | \(4\) |
1. | A-III, B-II, C-I, D-IV |
2. | A-III, B-I, CII, D-IV |
3. | A-I, B-II, C-IV, D-III |
4. | A-IV, B-I, C-II, D-III |
List-I (Series) |
List-II (Wave number in cm–1) |
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A. | Balmer series | I. | \( R\left(\dfrac{1}{1^2}-\dfrac{1}{n^2}\right) \) |
B. | Lyman series | II. | \( R\left(\dfrac{1}{4^2}-\dfrac{1}{n^2}\right) \) |
C. | Brackett series | III. | \( R\left(\dfrac{1}{5^2}-\dfrac{1}{n^2}\right) \) |
D. | Pfund series | IV. | \( R\left(\dfrac{1}{2^2}-\dfrac{1}{n^2}\right)\) |
1. | A-I, B-IV, C-III, D-II |
2. | A-II, B-III, C-IV, D-I |
3. | A-IV, B-I, C-II, D-III |
4. | A-III, B-II, C-I, D-IV |