• A. $\left[LM{ }^{-1 }{T}^{-2}\right]$
• B. $\left[L^{3}M{ }^{-1 }{T}^{-2}\right]$
• C. $\left[L^{-1}{M}^3 T^{-2}\right]$
• D. $\left[L^2{M}^{-2} T^{-2}\right]$

Answer: Option B

Explanation:

• A. $V_E = 2R \sqrt{\frac{4}{3}}\mathrm{\pi pG}$
• B. $V_E = 2R \sqrt{\frac{2}{3}}\mathrm{\pi pG}$
• C. $V_E = 2R \sqrt{\frac{2}{3}}\mathrm{\pi pG}$
• D. $V_E = 2R \sqrt{\frac{4}{3}}\mathrm{\pi pG}$

Answer: Option B

Explanation:

• A. $\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$m^3 $}\right.$
• B. $\raisebox{1ex}{$Joule$}\!\left/ \!\raisebox{-1ex}{$m^3 $}\right.$
• C. $\raisebox{1ex}{$Joule$}\!\left/ \!\raisebox{-1ex}{$m^2 $}\right.$
• D. $\raisebox{1ex}{$N$}\!\left/ \!\raisebox{-1ex}{$m^2 $}\right.$

Answer: Option B

Explanation:

• A. $\frac{{\mathrm{n}}^2{\mathrm{h}}^2{\mathrm{ϵ}}_0}{\mathrm{\pi }{\mathrm{me}}^2}$
• B. $\frac{{\mathrm{n}}^2{\mathrm{h}}^2{\mathrm{ϵ}}_0}{\mathrm{\pi }{\mathrm{m}}^2{\mathrm{e}}^2}$
• C. $\frac{{\mathrm{h}}^2{\mathrm{ϵ}}_0}{\mathrm{\pi }{\mathrm{m}}^2{\mathrm{e}}^2}$
• D. $\frac{{\mathrm{h}}^2{\mathrm{ϵ}}_0}{\mathrm{\pi }{\mathrm{me}}^2}$

Answer: Option A

Explanation:

• A. $9.27\times {10}^{-24} {\mathrm{Am}}^2$
• B. $9.27\times {10}^{24} {\mathrm{Am}}^2$
• C. $9.27\times {10}^{-24} {\mathrm{A}}^2{\mathrm{m}}^2$
• D. $9.27\times {10}^{-24} {\mathrm{A}}^2{m}^2$

Answer: Option A

Explanation:

• A. $\tan {\theta }_c=\frac{1}{\mu }$
• B. $\cos {\theta }_c=\frac{1}{\mu }$
• C. $\sin {\theta }_c=\frac{1}{\mu }$
• D. $\cot {\theta }_c=\frac{1}{\mu }$

Answer: Option C

Explanation:

• A. ${\mathrm{g}}^{\text{'}}=\mathrm{g}(1-\frac{\mathrm{g}}{\mathrm{h}})$
• B. ${\mathrm{g}}^{\text{'}}=\mathrm{g}\left(1+\frac{\mathrm{g}}{\mathrm{h}}\right)$
• C. ${\mathrm{g}}^{\text{'}}=\mathrm{g}\left(1+\frac{\mathrm{R}}{\mathrm{h}}\right)$
• D. ${\mathrm{g}}^{\text{'}}=\mathrm{g}\left(1-\frac{\mathrm{h}}{\mathrm{R}}\right)$

Answer: Option D

Explanation:

• A. ${\mathrm{\lambda }}_{\mathrm{c}}=\frac{{\mathrm{m}}_{\mathrm{o}}\mathrm{c}}{\mathrm{h}}$
• B. ${\mathrm{\lambda }}_{\mathrm{c}}=\frac{\mathrm{m}{o}^2\mathrm{c}}{\mathrm{h}}$
• C. ${\mathrm{\lambda }}_{\mathrm{c}}=\frac{\mathrm{h}}{{\mathrm{m}}_{\mathrm{o}}\mathrm{c}}$
• D. ${\mathrm{\lambda }}_{\mathrm{c}}=\frac{{\mathrm{h}}^2}{{\mathrm{m}}_{\mathrm{o}}\mathrm{c}}$

Answer: Option C

Explanation: