Question

Match the column I with column II and mark the appropriate choice.

	Column I		Column II
(A)	Uncertainty of an object	(i)	$$\frac{5.29 \times n^{2}}{Z}$$
(B)	Bohr’s radius of an orbit	(ii)	$$\frac{h}{4\pi m}$$
(C)	Angular momentum of an electron	(iii)	$$\frac{h}{mv}$$
(D)	De Broglie wavelength	(iv)	$$n.\frac{h}{2\pi}$$

• A. (A)$\rightarrow$ (iii), (B)$\rightarrow$ (iv), (C)$\rightarrow$ (i), (D)$\rightarrow$ (ii)
• B. (A)$\rightarrow$ (ii), (B)$\rightarrow$ (i), (C)$\rightarrow$ (iv), (D)$\rightarrow$ (iii)
• C. (A)$\rightarrow$ (iv), (B)$\rightarrow$ (iii), (C)$\rightarrow$ (i), (D)$\rightarrow$ (ii)
• D. (A)$\rightarrow$ (i), (B)$\rightarrow$ (ii), (C)$\rightarrow$ (iv), (D)$\rightarrow$ (iii)

Answer 1

Answer: (B)

(A)$\rightarrow$ (ii), (B)$\rightarrow$ (i), (C)$\rightarrow$ (iv), (D)$\rightarrow$ (iii)

Answer 2

: (1) Uncertainty of an object, , $\Delta x.\Delta v \geq \frac{h}{4\pi m}$

(2) Bohr’s radius of an orbit, $r = \frac{5.29 \times n^{2}}{Z}$

(3) Angular momentum of an electron, mvr $= n.\frac{h}{2\pi}$

(4) De Broglie wavelength, $\lambda = \frac{h}{mv}$