| 1. | \( 1 \over 12\) | 2. | \( 1 \over 2\) | 
| 3. | \( 1 \over 3\) | 4. | \( 1 \over 4\) | 
| 1. | \(1.550 \times10^{24}\) | 2. | \(3.011 \times10^{25}\) | 
| 3. | \(3.011 \times10^{24}\) | 4. | \(6.022 \times10^{24}\) | 
| 1. | \(a = 2r\) | 2. | \(a = r /2\sqrt2\) | 
| 3. | \(a = 4r /\sqrt3\) | 4. | \(a = 2\sqrt2r\) | 
| Assertion (A): | In a particular point defect, an ionic solid is electrically neutral, even if few of its cations are missing from its unit cells. | 
| Reason (R): | In an ionic solid, Frenkel defect arises due to dislocation of cation from its lattice site to interstitial site, maintaining overall electrical neutrality. | 
| 1. | (A) is false but (R) is true. | 
| 2. | Both (A) and (R) are true and (R) is the correct explanation of (A). | 
| 3. | Both (A) and (R) are true but (R) is not the correct explanation of (A). | 
| 4. | (A) is true but (R) is false. | 
A ferromagnetic substance becomes a permanent magnet when it is placed in a magnetic field because:
| 1. | all the domains get oriented in the direction opposite to the direction of magnetic field. | 
| 2. | domains are not affected by magnetic field. | 
| 3. | domains get randomly oriented. | 
| 4. | all the domains get oriented in the direction of magnetic field. | 
 
Which statements among the following is not correct?
| 1. | When conduction band and valence band overlap, a semiconductor is obtained | 
| 2. | Ferrimagnetism arises due to the alignment of magnetic moments of the domains in the substance in parallel and anti-parallel directions in unequal numbers | 
| 3. | Replacing some silicon atoms by boron atoms in crystal of silicon produces p-type semiconductor | 
| 4. | Replacing some germanium atoms by phosphorus atoms in a crystal of germanium produces n-type semiconductor | 
| List-I (Defects) | List-II (shown by) | 
| (a) Frenkel defect | (i) non-ionic solids and density of the solid decreases. | 
| (b) Schottky defect | (ii) non-ionic solids and density of the solid increases. | 
| (c) Vacancy defect | (iii) ionic solids and density of the solid decreases. | 
| (d) Interstitial defect | (iv) ionic solids and the density of the solid remains constant. | 
| (a) | (b) | (c) | (d) | |
| 1. | (i) | (ii) | (iii) | (iv) | 
| 2. | (i) | (iii) | (ii) | (iv) | 
| 3. | (iv) | (iii) | (ii) | (i) | 
| 4. | (iv) | (iii) | (i) | (ii) | 
The number of tetrahedral and octahedral voids in hexagonal primitive unit cell are respectively:
1. 2, 1
2. 12, 6
3. 8, 4
4. 6, 12