For an intrinsic semiconductor with a band gap of 0.75eV, determine the position of the Fermi level

at T=300 K if 

When 1.5 A of current is passed through a zinc specimen under a magnetic field of 2.0 T, the Hall voltage is 4.45 μV The width of the specimen is 0.03mm. Calculate the carrier concentration.

Calculate the relaxation time of electrons in silver assuming that each silver atom contributes one free electron for conduction. The density of silver is 10.5x10³ kg m^-3 , conductivity of silver is 6.8 x 10⁷Ω⁻¹m⁻¹ and the atomic weight of silver is 107.9 u.

Derive an expression for the bulk modulus of a cubic crystal.

Copper has a Debye temperature of 340 K and a Fermi temperature of 81000 K. At what temperature will the contribution of the vibrations of the crystal lattice (within the Debye theory) and that of the conduction electrons (within the free electron theory) to the specific heat become equal?

In a linear chain of two different types of atoms of masses M and m the displacement of the two atoms in the k = 0 optical branch are u and v respectively. Show that

The interaction energy between two atoms is given by   where r is the inter-atomic separation. Show that for the particles to be in equilibrium,  and show that in stable equilibrium the energy of attraction is seven times the energy of repulsion.

Determine the conditions governing geometrical structure factor for an fcc lattice. Is reflection observed from the (111) and (211) planes of the fcc structure?

Design a blank database “LIBRARY” using MS-ACCESS and add to it the following tables:

(i) JOURNALS

(ii) VENDORS

Add the following fields in the ‘JOURNAL table in the ‘Design View’

(a) JOURNAL_ID Auto Number

(b) JOURNAL_TITLE Text 255 Null Not Allowed

(c) JOURNAL_SPONSOR Text 255 Null Not Allowed  Now add 15 records in it using Data Sheet View.

Prove that the volume of a unit cell of the reciprocal lattice of a bec structure is inversely proportional to the volume of the unit cell of its direct lattice.

Show that an arbitrary reciprocal lattice vector  is perpendicular to the family of planes denoted by (h,k,l) in the direct lattice space.

A metallic element has a density of 10.22 g cm^-3 , an atomic weight of 95.94 u and an atomic radius of 0.136nm. Determine whether its lattice structure is bec or fcc.

Distinguish between piezoelectric and pyroelectric materials with an example of each.

Among the melt growth processes which method is the cleanest? Give reasons.

What are Type I and Type II superconductors?

Explain the construction and working of a differential amplifier type EVM.

Draw the energy band diagram for an n- type and p- type semiconductor.

List the limitations of the free electron theory.

Explain the working of D-flip flop. How does it differ from a D-latch?

Explain how a monoatomic linear chain behaves as a low pass filter.