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Questions and Answers

What does the displacement current density JD depend on?

  • The change in magnetic field over time
  • The change in electric field over time (correct)
  • The total charge in the system
  • The distance between the charges
  • In which state is Ampere's law considered valid?

  • Only in non-steady state
  • Only in time-varying states
  • Only in steady state (correct)
  • In both steady and non-steady states
  • What is the unit of displacement current density?

  • Ampere/m2 (correct)
  • Tesla
  • Volt/m
  • Coulomb/m2
  • What do the equations imply when stating that ∇ ∙ 𝐵 = 0?

    <p>Magnetic monopoles do not exist</p> Signup and view all the answers

    How does the dipolar polarizability (αo) change with increasing temperature?

    <p>It decreases</p> Signup and view all the answers

    Which type of material is characterized by its weak magnetization opposite to the applied magnetic field?

    <p>Diamagnetic material</p> Signup and view all the answers

    What is indicated by a relative permeability of a substance being 0.99?

    <p>It is a diamagnetic material</p> Signup and view all the answers

    What role does polarizability play in electromagnetic waves?

    <p>It determines the materials' response to electric fields</p> Signup and view all the answers

    What happens to elliptical polarized light when it passes through a quarter wave plate?

    <p>It becomes circular polarized</p> Signup and view all the answers

    What is the required change in potential difference to achieve a displacement current of 0.4 A for a parallel plate capacitor with a capacitance of 2 μF?

    <p>8 × 10^5 V/s</p> Signup and view all the answers

    If an electromagnetic wave is described by the equation E = E0 cos(1000x - 5000t), what is the wavelength of this wave?

    <p>6.28 × 10^-3 m</p> Signup and view all the answers

    When plane polarized light makes an angle of 45º with the optic axis of a quarter wave plate, what is the nature of the emergent light?

    <p>It is elliptical polarized</p> Signup and view all the answers

    What variation is observed when elliptically polarized light is viewed through a rotating Nicol after passing through a quarter wave plate?

    <p>Intensity shows a minimum but not zero</p> Signup and view all the answers

    For an electromagnetic wave propagating through a medium with relative permittivity of 9 and permeability of 4, what is its velocity?

    <p>2.5 × 10^7 m/s</p> Signup and view all the answers

    What method is commonly used to create population inversion in a gas laser?

    <p>Optical pumping</p> Signup and view all the answers

    What is the induced dipole moment per unit volume for helium gas in an electric field of 6×10^5 V/m with a polarizability of 2.33×10^-41 F m²?

    <p>5.67 × 10^-9 C/m²</p> Signup and view all the answers

    The ratio of Einstein’s A and B coefficients is proportional to which numerical value?

    <p>4</p> Signup and view all the answers

    What percentage of incident unpolarized light will pass through a system of two crossed Nicol prisms when one is rotated through 60 degrees?

    <p>12.5%</p> Signup and view all the answers

    Which of the following statements about stimulated emission is true?

    <p>It can cause a chain reaction for light amplification</p> Signup and view all the answers

    What is the ratio of intensity of the emergent light to unpolarized incident light when two sheets of polarized film are aligned at an angle of 30 degrees?

    <p>1:4</p> Signup and view all the answers

    If a He-Ne laser emits light of wavelength 632.8 nm, what is the population of two states in the laser at a temperature of 27º C?

    <p>3.9 × 10^-33</p> Signup and view all the answers

    Compared to conduction current, the displacement current through a conductor is classified as:

    <p>Less</p> Signup and view all the answers

    For a two-level system in thermal equilibrium, if the ratio of the population of the higher energy state to the lower energy state is equal to 1/e, what is the temperature of the system if the radiation emitted has a wavelength of 6000 Å?

    <p>2400 K</p> Signup and view all the answers

    Displacement current arises due to which of the following factors?

    <p>Time varying electric field</p> Signup and view all the answers

    Study Notes

    Multiple Choice Questions (MCQs)

    • Q1: Value of ∇ × 7 is 0
    • Q2: For a simple pendulum with constant length, the degrees of freedom are 0.
    • Q3: If ∇A = 0 for any vector A, then A is called irrotational.
    • Q4: A particle moving on a sphere (radius 'a') with r ≥ a has a non-holonomic constraint.
    • Q5: The angle between ∇ and the surface p = constant is zero.
    • Q6: Total angular momentum of a system is conserved if total torque acting on the system is zero.
    • Q7: Degrees of freedom for a system of N particles with K constraints in space is 3(N - K).
    • Q8: Frictional force is an example of a non-conservative force.
    • Q9: A fluid with velocity v is incompressible when ∇.v = 0.
    • Q10: Phase difference between displacement and acceleration in SHM is π.
    • Q11: Potential energy of a particle in SHM equals kinetic energy when displacement is ±A/√2.
    • Q12: Motion given by x = Asin(wt) + Bcos(wt) is SHM with amplitude √A² + B².
    • Q13: A vibrating system with F = F₀ sin ωt is in a state of forced vibration.
    • Q14: Critical damping results in non-oscillatory motion.
    • Q15: Ghost lines in grating spectra are due to interference from many slits.
    • Q16: Replacing red light with blue light in a diffraction pattern shifts lines towards higher angles.
    • Q17: Central maxima in a white light diffraction grating is white.
    • Q18: In a grating, increasing N decreases intensity of secondary maxima relative to principal maxima.
    • Q19: In Fraunhofer diffraction, both source and screen distances are infinite.
    • Q20: Polarization proves light waves are transverse.
    • Q21: Phase difference between O-ray and E-ray in a quarter-wave plate is π/2.
    • Q22: Elliptically polarized light passing through a quarter-wave plate results in unpolarized light.
    • Q23: Plane polarized light incident on a quarter-wave plate at 45° to optic axis gives elliptically polarized light.
    • Q24: Rotating Nicol with elliptically polarized light after quarter-wave plate shows variation in intensity with minimum zero.

    Additional Questions

    • Q25: Gas lasers achieve population inversion through optical pumping or electric discharge.
    • Q26: Ratio of Einstein's A and B coefficients is proportional to v³.
    • Q27: Spontaneous emission is random in character, emitting various wavelengths.
    • Q28: Displacement current is less than conduction current in a conductor.
    • Q29: Displacement current arises due to time-varying electric field.
    • Q30: Displacement current density JD = ε0(dĒ/dt).
    • Q31: Ampere's law is valid in both time-varying and steady states.
    • Q32: Unit of displacement current is Ampere.
    • Q33: Examples of electromagnetic waves are sound waves, waves in stretched strings, γ-rays, and matter waves.
    • Q34: B = 0 implies
    • Q35: In vacuum, electric susceptibility is zero, while magnetic monopole does not exist.
    • Q36: Dimension of polarizability in SI units is F.m².
    • Q37: Dipolar polarizability (α) decreases with increasing temperature.
    • Q38: Diamagnetic materials magnetize opposite to applied field.
    • Q39: Spin magnetic moments in ferromagnetic substances are parallel.
    • Q40: A substance with relative permeability 0.99 is diamagnetic.

    More Questions (Page 4)

    • Q1: Divergence of A at (1,2,1) is 29.
    • Q2: Directional derivative of Φ at (1, -2, -1) in the direction of 2î -ĵ - 2k = 17/4.
    • Q3: Moment of inertia of a solid sphere about tangent axis is 7/5MR².
    • Q4: Maximun value of R for oscillatory motion in a LCR circuit is 855.73 Ω.
    • Q5: Logarithmic decrement for a 20% amplitude decrease after 5 cycles is 0.662.
    • Q6: Q value of LCR circuit is 22.5.
    • Q7: Maximum velocity of particle in SHM y= 5 sin(3πt + π/2) is 15π cm/sec.
    • Q8: Angle between x² + y² + z² = 9 and x² + y² - z = 3 at (2, -1, 2) is 78°.
    • Q9: ∇⋅F for F=(x³+y³ +z³-3xyz) is x+y+z.
    • Q10: If F=3î + 2ĵ – 4k is applied at (1, -1, 2) The torque about (2, -1, 3) is 2î – 7ĵ – 2k.
    • Q11: Length of grating element for wavelength 5000A falls sinθ = 0.2 and 0.3 is 3 × 10-4 cm.
    • Q12: In missing fourth order maximum diffraction, slit separation = 3 x slit width.
    • Q13: When Sunlight falls on water at 53°, angle of refraction for completely plane polarized light is 37°.
    • Q14: Angle of resultent field with X axis Ex = Eo cos(wt + kz) and Ey = –Eo cos(wt + kz + π) is tan-1 (-1/√3).

    More Questions (Page 5 and 6)

    (Contains lengthy formulas and numerical values, best to summarize values)

    • Q15-Q24: Numerous questions pertaining to optics, wave phenomena, and related topics (summarized above).

    More Questions (Page 7)

    (Contains lengthy formulas and numerical values, best to summarize values)

    • Q25-Q30: Numerous questions pertaining to magnetism, polarizability, and related topics (summarized above).

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