Solid State Physics MCQs Question and Answer in Engineering Physics Page-7 section-1

61.
The dependences of the magnetic susceptibility $$\left( \chi \right)$$ of a material with temperature (T) can be represented by $$\chi \propto \frac{1}{{T - \theta }},$$ where θ is the Curie-Weiss temperature. The plot of magnetic susceptibility versus temperature is sketched in the figure, as curves P, Q and R with curve Q having θ = 0. Which one of the following statements is correct?

A. Curve R represents a paramagnet and Q a ferromagnetic field

B. Curve Q represents a ferromagnet and P an antiferromagnet

C. Curve R represents an antiferromagnet and Q a paramagnet

D. Curve R represents an antiferromagnet and Q a ferromagnet

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62.
In a crystal of N primitive cells, each cell contains two monovalent atoms. The highest occupied energy band of the crystal is

A. one-fourth filled

B. one-third filled

C. half filled

D. completely filled

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63.
For a closed packed bcc structure of hard spheres, the lattice constant a is related to the sphere radius R as

A. a = 4R/√3

B. a = 4R√3

C. a = 4R√2

D. a = 2R√2

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64.
Match the following and choose the correct combination:

Group 1 (Characteristic) Group 2 (Element)

P. Atomic configuration 1s², 2s² 2p⁶, 3s² 3p⁶ 1. Na

Q. Strongly electropositive 2. Si

R. Strongly electronegative 3. Ar

S. Covalent bonding 4. Cl

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

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

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

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

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65.
Two dielectric materials A and B exhibit both ionic and orientational polarizabilities. The variation of their susceptibilities $$\chi \left( { = {\varepsilon _r} - 1} \right)$$ with temperature T is shown in the figure, where $${\varepsilon _r}$$ is the relative dielectric constant. It can be inferred from the figure that

A. A is more polar and it has a smaller value of ionic polarizability than that of B

B. A is more polar and it has a higher value of ionic polarizability than that of B

C. B is more polar and it has a higher value of ionic polarizability than that of A

D. B is more polar and it has a smaller value of ionic polarizability than that of A

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66.
If the static dielectric constant of NaCl crystal is 5.6 and its optical refractive index is 1.5, the ratio of its electric polarizability to its total polarizability is

A. 0.5

B. 0.7

C. 0.8

D. 0.9

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67.
In an insulating solid which one of the following physical phenomena is consequence of Pauli's exclusion principle?

A. Ionic conductivity

B. Ferromagnetism

C. Paramagnetism

D. Ferroelectricity

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68.
The energy of a ferromagnet as a function of magnetization M is given by F(M) = F₀ + 2(T - T_c) M² + M⁴, F₀ > 0
The number of minima in the function F(M) for T > T_c is

A. zero

B. 1

C. 3

D. 4

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69.
A sample of silicon of thickness 200 μm is doped with 10²³ phosphorus atoms per m³. If the sample is kept in a magnetic field of 0.2 Wb/m² and a current of 1 mA is passed through the sample, the Hall voltage produced is

A. 62.5 μV

B. -6.25 μV

C. +6.25 μV

D. -62.5 μV

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Group 1 (Characteristic)	Group 2 (Element)
P. Atomic configuration 1s², 2s² 2p⁶, 3s² 3p⁶	1. Na
Q. Strongly electropositive	2. Si
R. Strongly electronegative	3. Ar
S. Covalent bonding	4. Cl

Solid State Physics MCQs Question and Answer in Engineering Physics

Answer & Solution

62. In a crystal of N primitive cells, each cell contains two monovalent atoms. The highest occupied energy band of the crystal is

Answer & Solution

63. For a closed packed bcc structure of hard spheres, the lattice constant a is related to the sphere radius R as

Answer & Solution

64. Match the following and choose the correct combination: Group 1 (Characteristic) Group 2 (Element) P. Atomic configuration 1s2, 2s2 2p6, 3s2 3p6 1. Na Q. Strongly electropositive 2. Si R. Strongly electronegative 3. Ar S. Covalent bonding 4. Cl

Answer & Solution

Answer & Solution

66. If the static dielectric constant of NaCl crystal is 5.6 and its optical refractive index is 1.5, the ratio of its electric polarizability to its total polarizability is

Answer & Solution

67. In an insulating solid which one of the following physical phenomena is consequence of Pauli's exclusion principle?

Answer & Solution

68. The energy of a ferromagnet as a function of magnetization M is given by F(M) = F0 + 2(T - Tc) M2 + M4, F0 > 0 The number of minima in the function F(M) for T > Tc is

Answer & Solution

69. A sample of silicon of thickness 200 μm is doped with 1023 phosphorus atoms per m3. If the sample is kept in a magnetic field of 0.2 Wb/m2 and a current of 1 mA is passed through the sample, the Hall voltage produced is

Answer & Solution

62.
In a crystal of N primitive cells, each cell contains two monovalent atoms. The highest occupied energy band of the crystal is

63.
For a closed packed bcc structure of hard spheres, the lattice constant a is related to the sphere radius R as

64.
Match the following and choose the correct combination:

Group 1 (Characteristic) Group 2 (Element)

P. Atomic configuration 1s², 2s² 2p⁶, 3s² 3p⁶ 1. Na

Q. Strongly electropositive 2. Si

R. Strongly electronegative 3. Ar

S. Covalent bonding 4. Cl

66.
If the static dielectric constant of NaCl crystal is 5.6 and its optical refractive index is 1.5, the ratio of its electric polarizability to its total polarizability is

67.
In an insulating solid which one of the following physical phenomena is consequence of Pauli's exclusion principle?

68.
The energy of a ferromagnet as a function of magnetization M is given by F(M) = F₀ + 2(T - T_c) M² + M⁴, F₀ > 0
The number of minima in the function F(M) for T > T_c is

69.
A sample of silicon of thickness 200 μm is doped with 10²³ phosphorus atoms per m³. If the sample is kept in a magnetic field of 0.2 Wb/m² and a current of 1 mA is passed through the sample, the Hall voltage produced is