Date: June 2018

1) Question no 1 is compulsory .

2) Attempt any three questions from Q.2 to Q.6

Why X-rays are used to study the crystal structure?

Chapter: [1] Crystal Structure

Calculate the frequency and wavelength of photon whose energy is 75eV.

Chapter: [2] Quantum Mechanics

Draw the energy band diagram of p-n junction diode in forward and reverse bias condition .

Chapter: [3] Semiconductor Physics

“Superconductor is a perfect diamagnetic”, Explain.

Chapter: [4] Superconductivity

What is reverberation time? How it is important ? write the factors affecting reverberation time.

Chapter: [6] Acoustics

A quartz crystal of thickness 1.5 mm vibrating with resonance. Calculate it’s fundamental frequency if the Young’s modulus of quartz crystal is 7.9×10^{10}N/m^{2} and density is 2650 kg/m^{3} .

Chapter: [1] Crystal Structure

A quartz crystal of thickness 1.5 mm vibrating with resonance. Calculate it’s fundamental frequency if the Young’s modulus of quartz crystal is 7.9×10^{10}N/m^{2} and density is 2650 kg/m^{3} .

Chapter: [1] Crystal Structure

Mobility of electron and hole in a sample of Ge at room temperature are 0.36 m^{2 }/V-sec and 0.17m^{2 }/V-sec respectively. If electron and holes densities are equal and it is 2.5 ×10^{13 }/cm^{3 }, calculate its conductivity.

Chapter: [3] Semiconductor Physics

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.

Chapter: [2] Quantum Mechanics

Write the Fermi Dirac distribution function and terms in it. What is the probability of an electron being thermally excited to the conduction band in Si at 30 ℃. The band gap energy is 1.12 eV.

Chapter: [3] Semiconductor Physics

With neat diagram of unit cell, explain the structure of NaCl crystal and calculate the no .of ions per unit cell, co ordination no. and lattice constant. Calculate the packing factor of NaCl crystal assuming the radius of _{Na}+is 0.98 A° and radius of Cl is 1.81 A°.

Chapter: [1] Crystal Structure

State the Hall effect. Derive the expression for Hall voltage and Hall coefficient with neat diagram.

Chapter: [3] Semiconductor Physics

What is working principle of SQUID ? Explain how it is used to detect the magnetic field?

Chapter: [4] Superconductivity

A hall of dimension 25×18×12m^{3 }has an average absorption coefficient 0.2. find the reverberation time. If a curtain cloth of area 150m^{2 }is suspended at the centre of Hall with coefficient of absorption 0.75, What will be the reverberation

time?

Chapter: [6] Acoustics

State the piezoelectric effect. With neat circuit diagram explain the principle and working of piezoelectric oscillator .

Chapter: [7] Ultrasonics

With energy band diagram , explain the variation of fermi energy level with impurity concentration in extrinsic semiconductor.

Chapter: [3] Semiconductor Physics

Explain with example how to determine crystal structure by Bragg’s X-ray spectrometer.

Chapter: [1] Crystal Structure

Obtain one dimensional time dependent time independent Schrodinger equation.

Chapter: [2] Quantum Mechanics

Define ligancy and critical radius ratio. Calculate critical radius ratio for ligancy 8.

Chapter: [1] Crystal Structure

What is the significance of wave function ? derive the expression for energy eigen values for the free particle in one dimensional potential well.

Chapter: [2] Quantum Mechanics

What is photovoltaic effect? Explain the principle and working of solar cell.

Chapter: [3] Semiconductor Physics

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