Quantum Mechanics MCQs Question and Answer in Engineering Physics

A. $$\frac{{L\sqrt m }}{{\pi \hbar \sqrt {2E} }}$$

B. $$\frac{{Lm}}{{\pi \hbar \sqrt E }}$$

C. $$\frac{{Lm}}{{\pi \hbar \sqrt {2E} }}$$

D. $$\frac{{L\sqrt m }}{{2\pi \hbar E}}$$

A. The particle will always be in a bound state

B. The probability of finding the particle in one well will be time dependent

C. The particle will be confined to anyone of the wells

D. The particle can tunnel from one well to the other and back

A. zero in state $${\phi _{1s}}\left( r \right)$$

B. non-zero in state $${\phi _{1s}}\left( r \right)$$

C. zero in state $${\phi _{2s}}\left( r \right)$$

D. zero in state $${\phi _{2p}}\left( r \right)$$

A. λn

B. λ²n

C. λn²

D. (λn)²

A. $$\frac{{\hbar \left\{ {s\left( {s + 1} \right) - {m^2}} \right\}}}{2}$$

B. $$\hbar \left\{ {s\left( {s + 1} \right) - 2{m^2}} \right\}$$

C. $${\hbar \left\{ {s\left( {s + 1} \right) - {m^2}} \right\}}$$

D. $${\hbar ^2}{m^2}$$

A. $$\frac{{m\omega }}{{4\hbar }}$$

B. $$\frac{{m\omega }}{{3\hbar }}$$

C. $$\frac{{m\omega }}{{2\hbar }}$$

D. $$\frac{{2m\omega }}{{3\hbar }}$$