JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Sample Paper Topic Test - Structure of Atom

The ionization energy of hydrogen atom (in the ground state) is x kJ. The energy required for an electron to jump from 2nd orbit to the \[{{3}^{rd}}\] orbit will be

A) x/6

B) 5x

C) 7.2 x

D) 5x/36

Correct Answer: D

Solution :

[d] \[{{(IE)}_{H}}={{E}_{\infty }}-{{E}_{1}}=-{{E}_{1}}=x\] volt

Put \[{{E}_{1}}=-\frac{K}{{{n}^{2}}}=-\frac{K}{{{1}^{2}}}=-K\]

\[\therefore \] \[K=x\]

\[\Delta E={{E}_{3}}-{{E}_{2}}\]

\[=-K/{{3}^{2}}-(-K/{{2}^{2}})\]

\[=K\frac{5}{36}=\frac{5x}{36}\]