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An electron in a hydrogen atom in its ground state absorsbs twice its ionisation energy. What is the wavelength of the emitted electcron ?

An electron in a hydrogen atom in its ground state absorsbs twice its ionisation energy. What is the wavelength of the emitted electcron ?

Grade:12

2 Answers

Srinivas Rao
11 Points
11 years ago

The ionisation energy of hydrogen is 21. 72 x 10-19 J

So, energy supplied to the electron is 2x 21.72 x 10-19 J. To knock the electron out of atom, it needs 21.72 x 10-19 J. The remaining energy of 21.72 x 10-19J appear as kinetic energy.

K.E = 1/2 mv2   or 2 K.E = mv2   or  v = (2K.E / m)1/2

Wave length = h / mv

Wave length = h / (2 K.E. m)1 = 1 x 10-19 m

 

Ravi Malhotra
9 Points
11 years ago

Formula is    -13.6Z2/N2 EV/atom

Use this to find ionisation energy (as it is equal to total energy)

 

Then use E= hc/λ

 

You will get the answer.

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