ExamVeda
Login
Home

A linear diatomic lattice of lattice constant a with masses M...

This question belongs to Engineering Physics Solid State Physics
Solid State Physics
?

A linear diatomic lattice of lattice constant a with masses M and m (M > m) are coupled by a force constant C. The dispersion relation is given by $${\omega ^2} = C\left( {\frac{{M + m}}{{Mm}}} \right) \pm {\left[ {{C^2}{{\left( {\frac{{m + m}}{{Mm}}} \right)}^2} - \frac{{4{C^2}}}{{Mm}}{{\sin }^2}\frac{{ka}}{2}} \right]^{\frac{1}{2}}}$$
Which one of the following statements is incorrect?

Answer & Solution
Correct Answer: Option C
Let's discuss the solution. Join the discussion
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Solid State Physics

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
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. $${\left( {\frac{P}{Q}} \right)^{ - 6}}$$
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. $$N\mu \cosh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$
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
More Related Questions on Solid State Physics