BE Electronics and Telecommunication Engineering छमाही १ (इंजीनियरिंग) - University of Mumbai Important Questions

 With neat diagram of unit cell , explain the structure of HCP crystal and calculate the no. of ions per unit cell, co ordination no., lattice constant and packing factor of the structure.

Define ligancy and critical radius ratio. Calculate critical radius radio for ligancy 6.

Draw (123)

Draw(321)

Draw (102)

Explain with Diagram Hcp Unit Cell Based on Lattice Parameters.

Derive Bragg's condition for X-ray diffraction. Monochromatic X rays are
incident on a crystal. If the first order rejection is observed at an angle of 3.4•, at
what angle would second order reflection expected.

A quartz crystal of thickness 1 mm is vibrating at resonance. Calculate its fundamental frequency. (Assume that for quartz, Y= 7.9x 1010 N/m2 and p = 2.650 gm/cc.

Define Ligancy. Find the value of critical radius ratio for Ligancy 3.

Explain Point defects in crystals.

Write schrodinger’s time dependentand time independent wave equations of matter waves in one dimensional and state physical significance of these Equations. 

Describe with the necessary theory the davisson and german establishing wave nature of electrons. Calculate the de-broglie wavelength of an alpha particle accelerating through a potential difference of 200 volts given :- mass of alpha
particle = 6.68×10^-27kg. 

What do you mean by group and phase velocity? Show that the de-Broglie group velocity associated with the wave packet is equal to the velocity of the particle.

An electron is confined in a box of dimension 1A°. calculate minimum uncertainty in its velocity.

Derive Schrodinger time dependent wave equation for matter waves. 

What is the wavelength of a beam of neutron having:
⦁ An energy of 0.025 eV?
⦁ An electron and photon each have wavelength of 2A°. what are their momentum and energy ? m_n = 1.676×10^-27 kg, h = 6.625×10^-34 J-sec. 

Arrive at Heisenberg’s uncertainty principle with single slit electron diffraction. An electron has a speed of 300n/sec with uncertainty of 0.01 %. Find the accuracy in its position.

With Heisenberg’s uncertainty principle prove that electron cannot survive in nucleus. An electron has a speed of 300m/sec. with uncertainty of 0.01% . find the accuracy in its position.

State properties of matter waves.

State Heisenberg's Uncertainty Principle. Show that electron doesn'texist in
the nucleus.Find the accuracy in the position of an electron moving with speed 350
m/sec with uncertainty of 0.01%.