Chemistry - Atomic Structure Question with Solution | TestHub

(P) $\psi =\frac{1}{8}{\left(\frac{2}{\pi {\mathrm{a}}_0^3}\right)}^{\frac{1}{2}}(2-\sigma ){\mathrm{e}}^{-\frac{\sigma }{2}}$

(1) $\psi$ represents $3{\mathrm{p}}_{\mathrm{z}}$ orbital

(Q) $\psi =\frac{1}{8}{\left(\frac{2}{\pi {\mathrm{a}}_0^3}\right)}^{\frac{1}{2}}\sigma \cdot {\mathrm{e}}^{\frac{-\sigma }{2}}\cos \theta$

(2) number of angular node $=1$

(R) $\psi =\frac{1}{81}{\left(\frac{2}{\pi {\mathrm{a}}_0^3}\right)}^{\frac{1}{2}}\sigma \cdot (6-\sigma ){\mathrm{e}}^{\frac{-\sigma }{3}}\cos \theta$

(3)

(S) $\psi =\frac{1}{243}{\left(\frac{2}{\pi {\mathrm{a}}_0^3}\right)}^{\frac{1}{2}}\left(27-18\sigma +2{\sigma }^2\right){\mathrm{e}}^{\frac{-\sigma }{3}}$

(4)

(5) number of radial node $=0$