Solid State Physics MCQs Question and Answer in Engineering Physics

1.
The valence electrons do not directly determine the following property of a metal

A. electrical conductivity

B. thermal conductivity

C. shear modulus

D. metallic lustre

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2.
The solid phase of an element follows van der Waals bonding with inter-atomic potential $$V\left( r \right) = - \frac{P}{{{r^6}}} + \frac{Q}{{{r^{12}}}}$$ where, P and Q are constants. The bond length can be expressed as

A. $${\left( {\frac{{2Q}}{P}} \right)^{ - 6}}$$

B. $${\left( {\frac{Q}{P}} \right)^{ - 6}}$$

C. $${\left( {\frac{P}{{2Q}}} \right)^{ - 6}}$$

D. $${\left( {\frac{P}{Q}} \right)^{ - 6}}$$

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3.
A system containing N non-interacting localized particles of spin $$\frac{1}{2}$$ and magnetic moment $$\mu $$ each is kept in constant external magnetic field B and in normal equilibrium at temperature T. The magnetization of the system is

A. $$N\mu \coth \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$

B. $$N\mu \tanh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$

C. $$N\mu \sinh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$

D. $$N\mu \cosh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$

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4.
In a cubic crystal, atoms of mass M₁ lie on one set of planes and atoms of mass M₂ lie on planes interleaved between those of the first set. If C is the forte constant between nearest neighbour planes, the frequency of lattice vibrations for the optical phonon branch with wave vector k = 0 is

A. $$\sqrt {2C\left( {\frac{1}{{{M_1}}} + \frac{1}{{{M_2}}}} \right)} $$

B. $$\sqrt {C\left( {\frac{1}{{2{M_1}}} + \frac{1}{{{M_2}}}} \right)} $$

C. $$\sqrt {C\left( {\frac{1}{{{M_1}}} + \frac{1}{{2{M_2}}}} \right)} $$

D. zero

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5.
If the ionic radii of Mn and S are 0.80 and 0.184 nm respectively, the structure of MnS will be

A. cubic closed packed

B. body centred cubic

C. NaG type

D. primitive cubic cell

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6.
An external magnetic field of magnitude H is applied to a type-I superconductor at a temperature below the transition point. Then which one of the following statements is not true for H less than the critical field H_c?

A. The sample is diamagnetic

B. Its magnetization varies lineraly with H

C. The lines of magnetic induction are pushed out from the sample

D. The sample exhibits mixed states of magnetization near H_c

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7.
Infrared absorption can be observed in which of the following molecules?

A. N₂

B. O₂

C. HCl

D. C₂

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8.
The number of independent elastic constants in an isotropic cubic solid is

A. 1

B. 2

C. 3

D. 4

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9.
The Bloch theorem states that within a crystal, the wave function $$\psi \left( {\overrightarrow {\bf{r}} } \right)$$ , of an electron has the form

A. $$\psi \left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} } \right){e^{i.\overrightarrow {\bf{k}} .\overrightarrow {\bf{r}} }}$$ where, $$u\left( {\overrightarrow {\bf{r}} } \right)$$ is an arbitrary function and $$\overrightarrow {\bf{k}} $$ is an arbitrary vector

B. $$\psi \left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} } \right){e^{i.\overrightarrow {\bf{G}} .\overrightarrow {\bf{r}} }}$$ where, $$u\left( {\overrightarrow {\bf{r}} } \right)$$ is an arbitrary function and $$\overrightarrow {\bf{G}} $$ is a reciprocal lattice vector

C. $$\psi \left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} } \right){e^{i.\overrightarrow {\bf{G}} .\overrightarrow {\bf{r}} }}$$ where $$u\left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} + \overrightarrow {\bf{A}} } \right),\,\overrightarrow {\bf{A}} $$ is a lattice and $$\overrightarrow {\bf{G}} $$ is a reciprocal lattice vector

D. $$\psi \left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} } \right){e^{i.\overrightarrow {\bf{k}} .\overrightarrow {\bf{r}} }}$$ where, $$u\left( {\overrightarrow {\bf{r}} } \right) = u\left( {\overrightarrow {\bf{r}} + \overrightarrow {\bf{A}} } \right),\,\overrightarrow {\bf{A}} $$ is a lattice vector and $$\overrightarrow {\bf{k}} $$ is an arbitrary vector

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10.
In crystallographic notations, the vector $$\overrightarrow {{\bf{OP}}} $$ in the cubic cell shown in the figure is

A. [2 2 1]

B. [1 2 2]

C. [1 2 1]

D. [1 1 2]

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Solid State Physics MCQs Question and Answer in Engineering Physics

1. The valence electrons do not directly determine the following property of a metal

Answer & Solution

2. The solid phase of an element follows van der Waals bonding with inter-atomic potential $$V\left( r \right) = - \frac{P}{{{r^6}}} + \frac{Q}{{{r^{12}}}}$$ where, P and Q are constants. The bond length can be expressed as

Answer & Solution

3. A system containing N non-interacting localized particles of spin $$\frac{1}{2}$$ and magnetic moment $$\mu $$ each is kept in constant external magnetic field B and in normal equilibrium at temperature T. The magnetization of the system is

Answer & Solution

4. In a cubic crystal, atoms of mass M1 lie on one set of planes and atoms of mass M2 lie on planes interleaved between those of the first set. If C is the forte constant between nearest neighbour planes, the frequency of lattice vibrations for the optical phonon branch with wave vector k = 0 is

Answer & Solution

5. If the ionic radii of Mn and S are 0.80 and 0.184 nm respectively, the structure of MnS will be

Answer & Solution

6. An external magnetic field of magnitude H is applied to a type-I superconductor at a temperature below the transition point. Then which one of the following statements is not true for H less than the critical field Hc?

Answer & Solution

7. Infrared absorption can be observed in which of the following molecules?

Answer & Solution

8. The number of independent elastic constants in an isotropic cubic solid is

Answer & Solution

9. The Bloch theorem states that within a crystal, the wave function $$\psi \left( {\overrightarrow {\bf{r}} } \right)$$ , of an electron has the form

Answer & Solution

10. In crystallographic notations, the vector $$\overrightarrow {{\bf{OP}}} $$ in the cubic cell shown in the figure is

Answer & Solution

1.
The valence electrons do not directly determine the following property of a metal

2.
The solid phase of an element follows van der Waals bonding with inter-atomic potential $$V\left( r \right) = - \frac{P}{{{r^6}}} + \frac{Q}{{{r^{12}}}}$$ where, P and Q are constants. The bond length can be expressed as

3.
A system containing N non-interacting localized particles of spin $$\frac{1}{2}$$ and magnetic moment $$\mu $$ each is kept in constant external magnetic field B and in normal equilibrium at temperature T. The magnetization of the system is

5.
If the ionic radii of Mn and S are 0.80 and 0.184 nm respectively, the structure of MnS will be

6.
An external magnetic field of magnitude H is applied to a type-I superconductor at a temperature below the transition point. Then which one of the following statements is not true for H less than the critical field H_c?

7.
Infrared absorption can be observed in which of the following molecules?

8.
The number of independent elastic constants in an isotropic cubic solid is

9.
The Bloch theorem states that within a crystal, the wave function $$\psi \left( {\overrightarrow {\bf{r}} } \right)$$ , of an electron has the form

10.
In crystallographic notations, the vector $$\overrightarrow {{\bf{OP}}} $$ in the cubic cell shown in the figure is