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.

Explain the significance of the linear and shear strain components of a crystal.

A 4-bit DAC produces 22 mV output for a digital input of 1011. What is the resolution for this DAC? Find out V_out for 0101?

NaCl has a melting point of 800 °C and MgO has a melting point of 2800 °C. How would you explain these facts?

Design and draw the circuit diagram of a Mod-6 ripple counter.

Design and draw the circuit of a regulated power supply using LM 317 to provide 30V output.

Draw a circuit of amplifier of gain 50 using IC 380. Use the non-inverting terminal as input signal terminal.