MCQs taken directly from the official verified paper record.
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of 10 MCQs
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1
In Lagrangian mechanics, if the Lagrangian L(q, q̇, t) does not depend explicitly on a generalized coordinate q (i.e., ∂L/∂q = 0), which quantity is conserved?
No explicit dependence on q implies p_q = ∂L/∂q̇ is a constant of motion by Euler–Lagrange equations.
2
A muon has a rest-frame mean lifetime τ0. If it travels at speed 0.8c relative to the laboratory, the lifetime measured in the lab frame is multiplied by the Lorentz factor γ; what is the value of γ for v = 0.8c?
At the planar boundary between two linear dielectrics with no free surface charge, which component of the electromagnetic field is continuous across the boundary?
For a particle in the ground state of a one-dimensional infinite square well (0 ≤ x ≤ a) with real-valued wavefunction, what is the expectation value of its momentum ⟨p⟩ ?
A monatomic ideal gas has internal energy (3/2)RT per mole, so Cv = dU/dT = (3/2)R.
6
In Young's double-slit experiment, the distance between adjacent bright fringes on the screen (fringe spacing) is given by which formula (for small angles)?
Photons are not conserved particles in thermal equilibrium, so their chemical potential is zero for a blackbody photon gas.
9
For a plane electromagnetic wave in vacuum, how is the time-averaged Poynting flux (intensity) S̅ related to the time-averaged energy density u̅ of the wave?
