Electrodynamics Plasma Physics

Course: M.Sc. Code: GH-554 Branch: Physics Year: 2022

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Roll No. .....................................
Total No. of Printed Pages : 9
Total No. of Questions : 11
GH-554
M.Sc. IInd Semester (Reg./ATKT)
Examination, 2022
Physics
Paper - III
Electrodynamics & Plasma Physics
Time : 3 Hours
[Maximum Marks : 85
Note :- Attempt all questions.
SECTION - 'A'
Objective Type Questions
5×3=15
1.
Choose the correct answer:
(i) ∇ ⋅ E = ρ/ε0 is known as.
(a) Laplace equation
(b) Continuity equation
(c) Gauss law in differential form
(d) Stokes law
(ii) The electric field intensity due to a uniformly charged sphere at an internal point is proportional to
(a) The distance r of the point from the centre
(b) Square of the distance r of the point from the centre.
(c) The distance r of the point from the surface of sphere.
(d) None of the above
(iii) The correct relation between electrostatic potential (Φ) and electric field (E⃗)
(a) E⃗ = ∇ × Φ
(b) E⃗ = ∇Φ
(c) Φ = ∇E⃗
(d) ⟨E⃗⟩ = -∇Φ
(iv) Which of the following is correct relation?
(a) ∇ ⋅ A⃗ = (1/c) ∂Φ/∂t
(b) B⃗ = ∇ × A⃗
(c) ∇ ⋅ A⃗ = (1/c2) ∂Φ/∂t
(d) B⃗ = -∇ × A⃗
(v) Hamiltonian function is define as
(a) H = ∑ pkqk
(b) H = ∑ piqi - L
(c) H = ∑ pkqk + L
(d) H = ∑ pkqk - T
(vi) The poynting vector in electromagnetic field define as
(a) S⃗ = (1/μ0) (E⃗ × B⃗)
(b) S⃗ = -(1/μ0) (E⃗ ⋅ B⃗)
(c) S⃗ = B⃗ / E⃗
(d) S⃗ = E⃗ / B⃗
(vii) The fourth state of matter is called
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
(viii) Bremsstrahlung is an example of _________ motion of electrons
(a) Uniform motion
(b) de-accelerated
(c) either of two
(d) None of these
(ix) Which of the following statement is not correct ?
(a) The thermo-nuclear plasma is also known as hot plasma
(b) Debye screening distance is independent of temperature of plasma
(c) The plasma is approximately neutral
(d) Concentration of charge particles in solid state plasma is much higher than the concentration of charge particles in gaseous plasma.
(x) The velocity of alfven waves is govern by
(a) VA = B / √(μ0ρ)
(b) VA = B / √(μ0p)
(c) VA = B / √(μ0μe)
(d) VA = B / √(μ0)
(xi) When a charge particle 'q' moves with velocity v perpendicular to the direction of magnetic field B⃗, the force in charge q is.
(a) qvB
(b) qvB sin θ
(c) Zero
(d) None of these
(xii) The plasma is taken as a fluid of
(a) low conductivity
(b) high resistivity
(c) high conductivity
(d) All of these
(xiii) Magneto-hydrodynamics is the study of interaction between the motion of conducting fluid and the _______.
(a) Electric field
(b) Magnetic field
(c) Electric and magnetic fields
(d) None of these
(xiv) The gas to behave like a plasma rather than a neutral gas if
(a) W∝J
(b) WJ < 1
(c) WJ > 1
(d) None of these
(xv) Gauge transformation for invariance of the electromagnetic field is define as
(a) A⃗' = A⃗ + ∇Λ and Φ' = Φ
(b) A⃗' = A⃗ + ∇Λ and Φ' = Φ - ∂Λ/∂t
(c) A⃗' = A⃗ - ∇Λ and Φ' = Φ - ∂Λ/∂t
(d) A⃗' = A⃗ + ∇Λ and Φ' = Φ - ∂Λ/∂t
SECTION - 'B'
Short Answer Type Questions
5×5=25
2.
Discuss Biot-Savart Law.
OR
State and derive Ampere's Law in circuital form.
3.
Describe Lorentz transformation of space and time in four vector form.
OR
Prove that electric charge is in variant under Lorentz transformation.
4.
Explain the concept of occurrence of plasma.
OR
Derive an expression for debye screening distance.
5.
Explain magnetosonic waves.
OR
Discuss single probe method for the measurement of plasma parameters.
6.
Explain the coulomb gauge.
OR
Derive transformation equations for the electromagnetic potentials.
SECTION - 'C'
Long Answer Type Questions
5×9=45
7.
What is meant by laplace and poisson equation ? Deduce expression for these equations.
8.
Explain relativistic transformation properties of E⃗ and H⃗ fields.
OR
Find an expression (Larmor's formula) for the power radiated by highly moving accelerated charge.
9.
What is pinch effect ? Explain plasma confinement and instabilities.
OR
What are gaseous and solid state plasma ? Discuss method of production of gaseous and solid state plasma.
10.
Deduce magneto-hydrodynamic equations.
OR
Explain the double probes technique to study the plasma.
11.
Write short note on any two of the following —
(i) Alfven waves
(ii) Maxwell equations
(iii) Lagrangian and Hamiltonian for charge particle moving in electromagnetic field.
(iv) Electrical neutrality in a plasma
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