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Classification, Chemical Bonding, and Crystal Structures(4)Electronic and Magnetic Properties(5)

Classification, Chemical Bonding, and Crystal Structures

4 Questions

GATE→2026→Materials Science and Non-Metallic Materials→Classification, Chemical Bonding, and Crystal Structures

Q1

MCQ[2 Marks]

Match the crystal systems in Column I with the corresponding axial lengths ($a, b, c$) and interaxial angles ($\alpha, \beta, \gamma$) provided in Column II:\nColumn I: (P) Tetragonal (Q) Rhombohedral (R) Orthorhombic (S) Monoclinic\nColumn II: (1) $a \neq b \neq c$, $\alpha = \beta = \gamma = 90^\circ$ (2) $a = b \neq c$, $\alpha = \beta = \gamma = 90^\circ$ (3) $a \neq b \neq c$, $\alpha = \gamma = 90^\circ \neq \beta$ (4) $a = b = c$, $\alpha = \beta = \gamma \neq 90^\circ$ (A) P-3, Q-1, R-2, S-4 (B) P-2, Q-3, R-4, S-1 (C) P-4, Q-3, R-2, S-1 (D) P-2, Q-4, R-1, S-3

(A)

P-3, Q-1, R-2, S-4

(B)

P-2, Q-3, R-4, S-1

(C)

P-4, Q-3, R-2, S-1

(D)

P-2, Q-4, R-1, S-3

Explanation

GATE→2024→Materials Science and Non-Metallic Materials→Classification, Chemical Bonding, and Crystal Structures

Q2

NAT[1 Mark]

The pair-interaction energy between two atoms is given by the following expression: $$U = -\frac{1.6}{r^6} + \frac{51.2}{r^{12}}$$\nwhere $U$ is the interaction energy in $\text{eV}$ and $r$ is the interatomic distance in $\text{}\text{\AA}$. The equilibrium bond-length between the atoms is ___ $\text{}\text{\AA}$ (Round off to the nearest integer).

Explanation

GATE→2024→Materials Science and Non-Metallic Materials→Classification, Chemical Bonding, and Crystal Structures

Q3

MCQ[2 Marks]

In a cubic lattice, what is the ratio of interplanar spacings of the (100), (110) and (111) planes? (Round off to two decimal places) (A) $1 : 0.32 : 0.71$ (B) $1 : 0.71 : 0.58$ (C) $1 : 0.58 : 0.71$ (D) $1 : 0.58 : 0.32$

(A)

1:0.32:0.71

(B)

1:0.71:0.58

(C)

1:0.58:0.71

(D)

1:0.58:0.32

Explanation

GATE→2022→Materials Science and Non-Metallic Materials→Classification, Chemical Bonding, and Crystal Structures

Q4

MCQ[1 Mark]

Match the nature of bonding (Column I) with material (Column II)\nColumn I:\nP. Ionic\nQ. Covalent\nR. Metallic\nS. Secondary\nColumn II: 1. Diamond 2. Silver 3. NaCl 4. Solid argon (A) P-4, Q-3, R-2, S-1 (B) P-2, Q-1, R-3, S-4 (C) P-3, Q-1, R-4, S-2 (D) P-3, Q-1, R-2, S-4

(A)

P-4, Q-3, R-2, S-1

(B)

P-2, Q-1, R-3, S-4

(C)

P-3, Q-1, R-4, S-2

(D)

P-3, Q-1, R-2, S-4

Explanation

Electronic and Magnetic Properties

5 Questions

GATE→2026→Materials Science and Non-Metallic Materials→Electronic and Magnetic Properties

Q5

MCQ[2 Marks]

Match the terms in Column I with the corresponding attributes in Column II:\nColumn I: (P) Wiedemann-Franz law (Q) Neel temperature (R) Hall voltage (S) Curie law\nColumn II: (1) Charge carrier concentration (2) Paramagnetism (3) Ratio between thermal conductivity and electrical conductivity of metals (4) Diamagnetism (5) Anti-ferromagnetism (A) P-4, Q-3, R-2, S-1 (B) P-2, Q-5, R-1, S-3 (C) P-3, Q-5, R-1, S-2 (D) P-3, Q-4, R-5, S-2

(A)

P-4, Q-3, R-2, S-1

(B)

P-2, Q-5, R-1, S-3

(C)

P-3, Q-5, R-1, S-2

(D)

P-3, Q-4, R-5, S-2

Explanation

GATE→2025→Materials Science and Non-Metallic Materials→Electronic and Magnetic Properties

Q6

NAT[2 Marks]

An intrinsic semiconductor has conductivity of $100\text{ }\Omega^{-1}\text{m}^{-1}$ at $300\text{ K}$ and $300\text{ }\Omega^{-1}\text{m}^{-1}$ at $500\text{ K}$. The band gap of the semiconductor is ___ $\text{eV}$ (rounded off to two decimal places). Given: Boltzmann constant $k_B = 8.6 \times 10^{-5}\text{ eV K}^{-1}$

Explanation

GATE→2023→Materials Science and Non-Metallic Materials→Electronic and Magnetic Properties

Q7

MCQ[1 Mark]

Diamond has low (A) electrical conductivity (B) modulus of elasticity (C) hardness (D) thermal conductivity

(A)

electrical conductivity

(B)

modulus of elasticity

(C)

hardness

(D)

thermal conductivity

Explanation

GATE→2023→Materials Science and Non-Metallic Materials→Electronic and Magnetic Properties

Q8

MCQ[2 Marks]

Match Column I with Column II.\nColumn I: (P) Gallium arsenide (Q) Barium titanate (R) Iron 4 wt.% silicon (S) Yttrium-barium-copper oxide\nColumn II: (1) Superconductor (2) Soft magnetic material (3) Semiconductor (4) Piezoelectric material (A) P-3, Q-4, R-2, S-1 (B) P-2, Q-4, R-3, S-1 (C) P-3, Q-2, R-1, S-4 (D) P-4, Q-2, R-1, S-3

(A)

P-3, Q-4, R-2, S-1

(B)

P-2, Q-4, R-3, S-1

(C)

P-3, Q-2, R-1, S-4

(D)

P-4, Q-2, R-1, S-3

Explanation

GATE→2022→Materials Science and Non-Metallic Materials→Electronic and Magnetic Properties

Q9

MCQ[2 Marks]

Figures P, Q, R and S schematically show the atomic dipole moments in the absence of external magnetic field. Which one of the following is the correct mapping of nature of magnetism to atomic dipole moments? (A) P - Diamagnetism, Q - Antiferromagnetism, R - Paramagnetism, S - Ferromagnetism (B) P - Ferromagnetism, Q - Antiferromagnetism, R - Diamagnetism, S - Paramagnetism (C) P - Paramagnetism, Q - Ferromagnetism, R - Diamagnetism, S - Antiferromagnetism (D) P - Ferromagnetism, Q - Diamagnetism, R - Antiferromagnetism, S - Paramagnetism

(A)

P - Diamagnetism, Q- Antiferromagnetism, R - Paramagnetism, S- Ferromagnetism

(B)

P-Ferromagnetism, Q - Antiferromagnetism, R - Diamagnetism, S-Paramagnetism

(C)

P- Paramagnetism, Q- Ferromagnetism, R - Diamagnetism, S-Antiferromagnetism

(D)

P-Ferromagnetism, Q - Diamagnetism, R - Antiferromagnetism, S-Paramagnetism

Explanation