Quantum Mechanics MCQs Question and Answer in Engineering Physics

A. $$\sigma = {\left| {f\left( \theta \right)} \right|^2}$$

B. $$\sigma = \frac{{4\pi }}{k}{\left| {f\left( {\theta = 0} \right)} \right|^2}$$

C. $$\sigma = \frac{{4\pi }}{k} \times {\text{Imaginary part of }}{\left| {f\left( {\theta = 0} \right)} \right|^2}$$

D. $$\sigma = \frac{{4\pi }}{k}{\left| {f\left( \theta \right)} \right|^2}$$

A. σ_xσ_y = σ_yσ_x

B. σ_xσ_y = σ_z

C. σ_xσ_y = iσ_z

D. σ_xσ_y = -σ_yσ_x

A. σ_iσ_j + (σ_jσ_i = 2δ_ij

B. Tr(σ_i) = 0

C. The eigen values of σ_i are ±1

D. Det (σ_i) = 1

A. $$\left\langle T \right\rangle = \left\langle V \right\rangle $$

B. $$\left\langle T \right\rangle = 2\left\langle V \right\rangle $$

C. $$\left\langle T \right\rangle = 3\left\langle V \right\rangle $$

D. $$\left\langle T \right\rangle = 4\left\langle V \right\rangle $$

A. zero

B. $$i\hbar x$$

C. $$i\hbar y$$

D. $$i\hbar z$$

A. u²(x)v

B. v

C. zero

D. u²(x)

A. $$\frac{{2{\pi ^2}{\hbar ^2}}}{{m{a^2}}} < {V_0} < \frac{{9{\pi ^2}{\hbar ^2}}}{{2m{a^2}}}$$

B. $$\frac{{{\pi ^2}{\hbar ^2}}}{{m{a^2}}} < {V_0} < \frac{{2{\pi ^2}{\hbar ^2}}}{{m{a^2}}}$$

C. $$\frac{{2{\pi ^2}{\hbar ^2}}}{{m{a^2}}} < {V_0} < \frac{{8{\pi ^2}{\hbar ^2}}}{{m{a^2}}}$$

D. $$\frac{{2{\pi ^2}{\hbar ^2}}}{{m{a^2}}} < {V_0} < \frac{{50{\pi ^2}{\hbar ^2}}}{{m{a^2}}}$$

A. $$\left| {{c_1}} \right| \cdot \left| {{c_2}} \right| = 1$$

B. $$\left| {{c_1}} \right| + \left| {{c_2}} \right| = 1$$

C. $${\left( {\left| {{c_1}} \right| + \left| {{c_2}} \right|} \right)^2} = 1$$

D. $${\left| {{c_1}} \right|^2} + {\left| {{c_2}} \right|^2} = 1$$

A. 4

B. 16

C. 18

D. 32

A. $${\left| A \right|^2}\frac{{\hbar k}}{m}$$

B. $${\left| A \right|^2}\frac{{\hbar k}}{{2m}}$$

C. $${\left| A \right|^2}\frac{{{{\left( {\hbar k} \right)}^2}}}{m}$$

D. $${\left| A \right|^2}\frac{{{{\left( {\hbar k} \right)}^2}}}{{2m}}$$