The temperature dependence of resistances of \(\mathrm{Cu}\) and undoped \(\mathrm{Si}\) in the temperature range \(300\text-400~\text{K}\), is best described by:
| 1. | Linear increase for \(\mathrm{Cu}\), linear increase for \(\mathrm{Si}\) |
| 2. | Linear increase for \(\mathrm{Cu}\), exponential increase for \(\mathrm{Si}\) |
| 3. | Linear increase for \(\mathrm{Cu}\), exponential decrease for \(\mathrm{Si}\) |
| 4. | Linear decrease for \(\mathrm{Cu}\), linear decrease for \(\mathrm{Si}\) |

| Statement-I: | By doping silicon semiconductors with pentavalent material, the electron density increases. |
| Statement-II: | The n-type semiconductors have a net negative charge. In the light of the above statements, choose the most appropriate answer from the options given below : |
| 1. | Both Statement I and Statement II are true. |
| 2. | Statement I is true but Statement II is false. |
| 3. | Statement I is false but Statement II is true. |
| 4. | Both Statement I and Statement II are false. |
| \(\mathrm{A}.\) | Holes are minority carriers |
| \(\mathrm{B}.\) | The dopant is a pentavalent atom |
| \(\mathrm{C}.\) | \(\mathrm{n}_{\mathrm{e}} \mathrm{n}_{\mathrm{h}} \neq \mathrm{n}_{\mathrm{i}}^2\) (where \(\mathrm{n_i} \) is number of electrons or holes in semiconductor when it is intrinsic form) |
| \(\mathrm{D}.\) | \(\mathrm{n}_{\mathrm{e}} \mathrm{n}_{\mathrm{h}} \geqslant \mathrm{n}_{\mathrm{i}}^2\) |
| \(\mathrm{E}.\) | The holes are not generated due to the donors |
| 1. | \(\mathrm{A,B,C}~\text{only}\) | 2. | \(\mathrm{A,C, D}~\text{only}\) |
| 3. | \(\mathrm{A,C,E}~\text{only}\) | 4. | \(\mathrm{A,B,E}~\text{only}\) |