Question

Match the following.

(1)	Energy of ground state of $H{e}^{+}$	(p)	6.04 eV
(2)	Potential energy of 1 orbit of H atom	(q)	-27.2 eV
(3)	Kinetic energy of II excited state of $H{e}^{+}$	(r)	54.4 eV
(4)	Ionisation potential of $H{e}^{+}$	(s)	-54.4 eV

• A. $(1)-p,(2)-q,(3)-r,(4)-s$
• B. $(1)-s,(2)-r,(3)-q,(4)-p$
• C. $(1)-s,(2)-q,(3)-p,(4)-r$
• D. $(1)-q,(2)-r,(3)-p,(4)-s$

Answer 1

Answer: (C)

Energy of G.S. of $H{e}^{+}=E_H\times Z^2$
$=-13.6\times 4=-54.4\text{eV}$
Ionisation potential of $H{e}^{+}=E_{\in fty}-E_1$
$=-\left(-54.4\right)=54.4\text{eV}$
T.E. of H of 1 orbit $=-13.6\text{eV}$
2 T.E. = P.E. and $\text{K}\text{.E}=-\text{ T}\text{. E}$
$\text{P}\text{.E}\text{.}=-2\times 13.6=-27.2\text{eV}$
T.E. of H of II excited state $=\frac{-13.6}{9}\times 4$
of $\text{He}=-6.04\text{eV}$
$\text{K}\text{.E}\text{.}=-\text{(T}\text{.E}\text{.)}=-\left(-6.04\text{eV}\right)=+6.04\text{eV}$