Question

If the ionization energy of hydrogen atom is $13.6eV$, the energy required to excite it from ground state to the next higher state is nearly

• A. $3.4eV$
• B. $10.2eV$
• C. $12.1eV$
• D. $1.5eV$
• E. $15eV$

Answer 1

Answer: (B)

$10.2eV$

$E_n=-\frac{13.6}{n^2}eV,\Delta E=E_2-E_1$
$=-13.6(\frac{1}{2^2}-\frac{1}{1^2})=13.6\times \frac{3}{4}=10.2eV$