Physics Quiz Q: Which relation expresses mass-energy equivalence? A: $E=mc^2$ B: $F=ma$ C: $p=mv$ D: $V=IR$ ANSWER: A EXPLAIN: $E=mc^2$ relates rest energy to mass through the speed of light. --- Q: For a quantum particle, what is the canonical commutator of position and momentum? A: $[x,p]=0$ B: $[x,p]=i\hbar$ C: $[x,p]=\hbar^2$ D: $[x,p]=mc^2$ ANSWER: B EXPLAIN: The nonzero commutator $[x,p]=i\hbar$ is the algebraic seed of uncertainty. --- Q: Which equation is the time-dependent Schrodinger equation? A: $i\hbar\frac{\partial \psi}{\partial t}=\hat{H}\psi$ B: $\nabla \cdot \mathbf{E}=0$ C: $E_n=nkT$ D: $\Delta x\Delta p=0$ ANSWER: A EXPLAIN: The Hamiltonian operator controls time evolution through $i\hbar\partial_t\psi=\hat{H}\psi$. --- Q: What does the uncertainty principle require? A: $\Delta x\Delta p \geq \hbar/2$ B: $\Delta x\Delta p = 0$ C: $\Delta E=mc^2$ D: $\nabla \times \mathbf{E}=\rho$ ANSWER: A EXPLAIN: Position and momentum spreads cannot both be made arbitrarily small. --- Q: In electrostatics, Gauss law in differential form is A: $\nabla \cdot \mathbf{E}=\rho/\epsilon_0$ B: $\nabla \times \mathbf{E}=\mu_0\mathbf{J}$ C: $\mathbf{F}=q\mathbf{v}$ D: $\hat{H}\psi=0$ ANSWER: A EXPLAIN: Gauss law connects electric flux density to charge density. Question 1 Score 0 Next
