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in Physics by (46.4k points)

A 12.5ev electron beam is used to bombard gaseous hydrogen  at room temperature. Up to which energy level the hydrogen atoms would be excited?

Calculate the wavelengths of the first member of Lyman and first member of Balmer series.

1 Answer

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Energy required to excite hydrogen atom from ground state to the excited state

= Efinal  =   Einitial

= -1.51 - (-13.6) = 12 .09 eV

i.e. hydrogen atoms would be excited up to third energy level (i.e. r : 3) / second excited  state. [Note If  the student just writes gaseous hydrogen is made up of the molecule or just writes the formula for En, award this mark.]

Alternatively

[Note : Also accept the  answer given in terms of R only]

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