Attempt any Eight questions.
[8*5=40]
5.
Explain Bloch theorem. Discuss its use in Kronig-Penney model and hence in band theory. [5]
6.
Explain the construction and working of bipolar junction transistor (BJT). [5]
7.
A large wheel of radius 0.4 m and moment of inertia 1.2 kgm2, pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2-kg weight is attached to the rope. When the weight has descended 1.5 m from its starting position (a) what is downward velocity? (b) what is the rotational velocity of the wheel? [5] 8.
An electron is placed midway between two fixed charges, q1=2.5∗10−10C and q2=5∗10−10C. If the charges are 1 m apart, what is the velocity of the electron when it reaches a point 10 cm from q2? [5] 9.
Assuming that atoms in a crystal structure and arranged as close-packed spheres, what is the ratio of the volume of the atoms to the volume available for the simple cubic structure? Assume a one atom basis. [5]
10.
The output of a digital circuit (y) is given by this expression:y=(CB+CA)(BA) where A, B and C represent inputs. Draw a circuit of the above equation using OR, AND and NOT gate and hence find its truth table. [5] 11.
A small particle of mass 10−6gm moves along the x axis; its speed is uncertain by 105m/sec. (a) what is the uncertainty in the x coordinate of the particle? (b) Repeat the calculation for an electron assuming that the uncertainty in its velocity is also 105m/sec. use the known values for electrons and Planck's constant. [5] 12.
What is the probability of finding a particle in a well of width a at a position 4a from the wall if n=1, if n=2, if n=3. Use the normalized wavefunction ψ(x)=(a2)1/2sin(anπx)e−ℏiEt [5]