a photon emitted during the dxc station of electron from a state and to the first excited state in a hydrogen atom irrigate is a metallic cathode of work function to electron in a photoelectric with a stopping potential of 0.55 volt obtain the value of the quantum number of the state and
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Φ =2eV
1/ λ =R(1/n1^2 - 1/n2^2)
E =Φ +K.E=hc/ λ
=hcR(1/n1^2 / 1/n2^2)
=Φ + K.E
K.E = eVo
n1=2,n2=n
hcR(1/2^2 - 1/n^2)
=2x1.6x10^-34x1.6x10^-19x0.55
6.62x10^-34x3x10^8x1097x10^7(1/4 - 1/n^2)
=3.2x1.6x0.55x10^-38
1/4 - 1/n^2 = 3.2x1.6x0.55x10^-38 / 6.62x10^-34x3x197x10^15
=2.86x10^-38 / 21.786x10^-19
=1/4 - 1/n^2 = 0.129x10^-19
=1/4 - 1/n^2 = 1.13x10^-20
On solving the above equation we get ,n=2
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