| Statement I: | The stationary orbits in Bohr's theory correspond to those orbits in which an integer number of de-Broglie wavelengths of the orbiting electron fit in. |
| Statement II: | Photons having an energy greater than \(13.6~\text{eV}\) cannot be absorbed by an \(\mathrm{H}\)-atom in the ground state. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
| 1. | the radius of the electron orbit is \(r\propto\sqrt n\). |
| 2. | the speed of the electron is \(v\propto\sqrt n\). |
| 3. | the angular speed of the electron is \(\omega\propto 1/n\). |
| 4. | the angular momentum of the electron is \(\propto\sqrt n\). |
| Assertion (A): | The absorption line observed in the spectra of an element is never completely dark. |
| Reason (R): | The sample used for absorption is thin, so that all photons corresponding to a transition may not be absorbed. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
| 1. | \(4\) | 2. | \(2\) |
| 3. | \(\dfrac12\) | 4. | \(\dfrac14\) |
| 1. | \(\dfrac he\) | 2. | \(\dfrac h{2e}\) |
| 3. | \(\dfrac {2h}e\) | 4. | \(\dfrac h{2\pi e}\) |
| 1. | the same phase. |
| 2. | the same energy. |
| 3. | the same direction. |
| 4. | the same phase, energy, and direction. |