question_answer

The energy required to excite an electron from the ground state of hydrogen atom to the first excited state, is [Pb. PMT 1999]

A)            \[1.602\times {{10}^{-14}}\,J\]                                         

B)            \[1.619\times {{10}^{-16}}\,J\]

C)            \[1.632\times {{10}^{-18}}J\]

D)            \[1.656\times {{10}^{-20}}J\]

Correct Answer: C

Solution :

                   Energy to excite the \[{{e}^{-}}\] from \[n=1\] to \[n=2\] \[E=-3.4-(-13.6)=10.2\,eV=10.2\times 1.6\times {{10}^{-19}}\]            \[=1.632\times {{10}^{-18}}\,J\]