Untitled Quiz

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 J_D = 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).