Sunday, 12 November 2017

Engg. Physics I : paper set 2 :Quantum Mechanics, Semiconductors, Ctrystallography,

Paper Set -  II
Subject: Engineering Physics I

Time: 2:00 Hours ]                                                [  Marks: 40 

INSTRUCTIONS TO CANDIDATES          

All Questions carry Equal Marks as indicated.
Solve FOUR questions as instructed
Assume suitable data
Draw neat sketches wherever necessary.
Use of calculator is permitted.
        Q1. (a)Write Plank’s Quantum Hypothesis with energy level diagram        (2)  
         (b)State any four Properties of Photons.                                                         (2)  
      (c)What is Compton Effect? Explain Compton shift with equation.
            Prove it graphically.                                                                                 (3)         
     (d)If the incident radiation is 1.16 Ă. Find the wavelength of scattered radiations at angle 450.                                                                                                             (3)                                                               OR


      Q2. (a)Prove that light exhibit both wave as well as particle nature.              (2)

(    (b)Explain that the wavelength of Macroscopic bodies is insignificant in comparison  to the size of the bodies. Calculate the value for wavelength.     (2)
       (c)Explain this statement with the help of Davisson & Germer  Experiment.(3)
       (d)Find the De-broglie wavelength of an electron accelerated through a potential difference of 168 v                                                                                                 (3)  

    Q3. (a) Calculate the nearest neighboring distance for SC and BCC               (4)
       (b)Find  out APF, Co ordination No. in BCC and FCC                                  (2) 
       (c)Differentiate between Tetrahedral and Octahedral Voids.                         (2) 
      (d)Molybdenum belongs to BCC lattice. Its density is 10.2 X 103 Kg/m3and its atomic weight is 95.94. Determine the radius of  Molybdenum  atom.           (2)
                                                            OR
     Q4. (a) Deduce a relation between an interlinear distance d and the Miller indices of the planes for cubic crystal.                                                                           (4)
      (b) Draw the following Miller Indices  planes [1 ̅10],[231],[112]                    (3)
      (c) Explain and deduce Bragg’s Law for X-Ray diffraction.                         (3)

     Q5. (a) Define phase velocity and group velocity.                                             (2)
     (b)Explain the application of Heisenberg’s Uncertainty principle with the help of Thought experiment.                                                                                           (4)
    (c) Explain the interpretation of wave function and write the normalization of wave function.                                                                                                     (2)     
     (d)Write 3D time dependent Schrodinger Equation.                                      (2)
                                                           OR
      Q6. (a)Write three dimensional time dependent Schrodinger Equation.    (2)
       (b)Deduce the equation for Wave function of particle confined in an infinite one dimensional potential Well of length ‘L’                                                         (4)    
       (c)Discuss the tunnling effect with the help of schrodinger  Equation.      (2)
     (d)Calculate the value of lowest two energy state for electron confined in the infinite potential well of width 15 Ǻ (m = 9.11 x 10-31 Kg, h = 6.626 x 10-34 J.s) (2)
     Q7. (a)Explain p-type and n- type semiconductors with suitable diagram.       (3)
          (b)Write down the Fermi - Dirac Equation for the probability of occupation of  an energy level E by an electron.                                                                            (4)
       (c)Explain how fermi level changes with increasing amounts of impurity in n-type and p-type Semiconductor.                                                                          (3)
                                                             OR
     Q8. (a)What is Hall Effect?                                                                                      (2)
       (b)Give expression for each of the following parameters Hall Voltage, Hall Coefficient, Hall Mobility.                                                                                        (6)
       (c)Mention the importance of  Hall Effect in the field of Semiconductor.         (2)                                                                                                        


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