In a hydrogen like sample, electron is in 2nd excied state. The Binding energy of 4th state of this sample is `13.6eV`, then

Options

A. A 25 eV photon can set free the electron from the second excited state of this sample
B. 3 different types of photon will be observed if electrons make transition up to ground state from the second excited state
C. If 23 eV photon is used then K.E. of the ejected electron is `1eV`
D. 2nd line of Balmer series of this sample has same energy value as 1st excitation energy of H-atoms.

Answer

A, B

Explanation

`z = 4` from the given date
`-E_(n,z) =+(13.6 xx z^(2))/(n^(2)) rArr` energy of 2nd excitedstate `= 24.177 eV`
no. of spectral lines `= (Delta n(Delta n+1))/(2)`