Question
Electrons are bombarded to excite hydrogen atoms and six spectral lines are observed. If $${E_g}$$ is the ground state energy of hydrogen, the minimum energy the bombarding electrons should posses is
A.
$$\frac{{8{E_g}}}{9}$$
B.
$$\frac{{15{E_g}}}{16}$$
C.
$$\frac{{35{E_g}}}{36}$$
D.
$$\frac{{48{E_g}}}{49}$$
Answer :
$$\frac{{15{E_g}}}{16}$$
Solution :
To obtain 6 spectral line, as electron must be excited to fourth orbit with energy $$\frac{{{E_g}}}{{16}},$$ so that the difference is $$\frac{{15\,{E_g}}}{{16}}.$$