Question

What is the energy associated with $3^{rd}$ energy shell of hydrogen atom $?$

• A. $-3.18\times {10}^{-19}J$
• B. $-0.342\times {10}^{-19}J$
• C. $-0.126\times {10}^{-19}J$
• D. $-2.41\times {10}^{-19}J$

Answer 1

Answer: (D)

$-2.41\times {10}^{-19}J$

Energy associated with $n^{th}$ level of hydrogen $=-13.6\times \frac{{\tau }^2}{n^2}$ $eV$

$n=3;$

$z=1;$

$⟹E_n=-13.6\frac{1}{9}=\frac{-13.6}{9}$ $eV$

As $1$ $eV=1.6\times {10}^{-19}$ $Joules$

$⟹\frac{-13.6}{9}$ $eV=-1.51\times 1.6\times {10}^{-19}$ $J$

Energy associated $=-2.41\times {10}^{-19}$ $J$