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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Answer & Solution

Answer: Option C

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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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Answer: Option A

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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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Answer: Option B

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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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Answer: Option A

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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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Answer & Solution

Answer: Option C

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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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Answer: Option D

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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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Answer: Option C

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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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Answer & Solution

Answer: Option C

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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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Answer & Solution

Answer: Option D

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10

In crystallographic notations, the vector $$\overrightarrow {{\bf{OP}}} $$ in the cubic cell shown in the figure is
Solid State Physics mcq question image

A) [2 2 1] B) [1 2 2] C) [1 2 1] D) [1 1 2]

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Answer & Solution

Answer: Option A

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