De Broglie poroposed that moving micro p...

De Broglie poroposed that moving micro particles exhibit wave behaviours. Electron in a Bohr.s orbit also shows dual nature whose wave length is given by `lambda_(e) = (h)/(m_(e)V_(e))`
`m_(e)` = mass of electron , `V_(e)` = velocity of electron , h = planck.s constant
Bohr.s atomic model is in good agreement with De-broglie concept and the electron has fixed energy in Bohr.s orbit : `2pi r = n lambda` (constructive wave in phase).
The kinetic energy of an electron in `alpha` Bohr.s orbit of H-atom is 3.4 eV. What is the its De-broglie.s wave length ?

3.3 Å

6.6 Å

2.2 Å

4.4 Å

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De Broglie poroposed that moving micro particles exhibit wave behaviours. Electron in a Bohr.s orbit also shows dual nature whose wave length is given by lambda_(e) = (h)/(m_(e)V_(e)) m_(e) = mass of electron , V_(e) = velocity of electron , h = planck.s constant Bohr.s atomic model is in good agreement with De-broglie concept and the electron has fixed energy in Bohr.s orbit : 2pi r = n lambda (constructive wave in phase). A ground satte hydrogen atom is supplies with 17.6 ev of energy through alpha photon. What is the De-broglie wave length of the electron knocked out

6.125 Å

2.27 Å

5.75 Å

3.6 Å

`1:1`

`1:2`

`4:9`

`1:4`

`-(n^(2)h^(2))/(4pi^(2)mZe^(2))`

`-(2pi^(2)Z^(2)me^(4))/(n^(2)h^(2))`

`-(2piZe^(2))/(nh)`

`-(n^(2)h^(2))/(2pi^(2)Z^(2)me^(4))`