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[Total No. of Questions: 08]
Roll No.:
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[Total No. of Pages: 01]
M.TECH FIRST SEMESTER EXAMINATION, APRIL – 2021
[Offline mode open book system]
(Course: NANOTECHNOLOGY)
Paper Code: MNT-103
Mechanics at Nano Scale
Maximum Marks: 70
Minimum Marks: 28
Time: 3 hrs
NOTE: Attempt any five questions, each question carries equal marks.
Q.1
Differentiate between Classical and Quantum Mechanics. Explain basic postulates of quantum mechanics.
Q.2
State and proof Heisenberg's Uncertainty principles with application.
Q.3
Establish mathematical explanation of WKB approximation method for slow moving one-dimensional potential well of a nano-wire.
Q.4
Explain degenerate perturbation theory with the help of suitable expression.
Q.5
Derive the Time independent perturbation up to second order correction in Eigen values and Eigen vector.
Q.6
Give the physical significance of the wave function and derive Schrodinger time independent and dependent wave equation.
Q.7
Discuss in detail about Maxwell-Boltzmann's statistics and give a brief example of systems that follow this type of statistical distribution.
Q.8
Write a short note on any three of the following: -
a. Pauli's exclusion principle.
b. Fermi Golden rule.
c. Zeeman Effect.
d. Bosons and Fermions.
e. Tunneling through barrier.