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Question

Electrons are emitted from an electron gun at almost zero velocity and are accelerated by an electric field E through a distance of 1.0 m. The electrons are now scattered by an atomic hydrogen sample in ground state. What should be the minimum value of E so that red light of wavelength 656.3 nm may be emitted by the hydrogen ?

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Solution

The given wavelength in Balmer series. The first line, which requires minimum energy is form

n1=3 to n2=2

The energy should be euql to the energy required for transition from ground state to n =3

i,e. E = 13.6 [119]

= 13.6×89=12.09eV

Minimum valuve of electric field

= 12.09 V/m

= 12.1 V/m


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