| 1. | \(r \propto n^{2/3}; v \propto n^{1/3}\) |
| 2. | \(r \propto n^{4/3}; v \propto n^{-1/3}\) |
| 3. | \(r \propto n^{1/3}; v \propto n^{1/3}\) |
| 4. | \(r \propto n^{1/3}; v \propto n^{2/3}\) |
| List I (Spectral Lines of Hydrogen for transitions from) |
List II (Wavelength (nm)) |
||
| \(\mathrm{A.}\) | \(n_2=3\) to \(n_1=2\) | \(\mathrm{I.}\) | \(410.2\) |
| \(\mathrm{B.}\) | \(n_2=4\) to \(n_1=2\) | \(\mathrm{II.}\) | \(434.1\) |
| \(\mathrm{C.}\) | \(n_2=5\) to \(n_1=2\) | \(\mathrm{III.}\) | \(656.3\) |
| \(\mathrm{D.}\) | \(n_2=6\) to \(n_1=2\) | \(\mathrm{IV.}\) | \(486.1\) |
| 1. | \(\mathrm{A - III, B - IV, C - II, D - I}\) |
| 2. | \(\mathrm{A - IV, B - III, C - I, D - II}\) |
| 3. | \(\mathrm{A - I, B - II, C - III, D - IV}\) |
| 4. | \(\mathrm{A - II, B - I, C - IV, D - III}\) |
| Statement I: | Atoms are electrically neutral as they contain equal number of positive and negative charges. |
| Statement II: | Atoms of each element are stable and emit their characteristic spectrum. |
| 1. | Both Statement I and Statement II are incorrect. |
| 2. | Statement I is correct but Statement II is incorrect. |
| 3. | Statement I is incorrect but Statement II is correct. |
| 4. | Both Statement I and Statement II are correct. |
| List-I (Series) |
List-II (Wave number in \(\text{cm}^{–1}\)) |
||
| 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 |
| 1. | Pfund series | 2. | Brackett series |
| 3. | Lyman series | 4. | Balmer series |
Then:
| 1. | \(\lambda_{3}>\lambda_{2},\lambda_{1}=2\lambda_{2}\) | 2. | \(\lambda_{3}>\lambda_{2},\lambda_{1}=4\lambda_{2}\) |
| 3. | \(\lambda_{1}>\lambda_{2},\lambda_{2}=2\lambda_{3}\) | 4. | \(\lambda_{2}>\lambda_{1},\lambda_{2}=2\lambda_{3}\) |
| 1. | visible region |
| 2. | far infrared region |
| 3. | ultraviolet region |
| 4. | infrared region |