Which one of the following will result in an electrontransition from the n = 4 l

Question

Which one of the following will result in an electrontransition from the n = 4 level to the n = 7level in a hydrogen atom?

a. emission of a 0.85 eVphoton
b. emission of a 0.28 eVphoton
c. absorption of a 0.57 eVphoton
d. absorption of a 0.28 eVphoton
e. emission of a 0.57 eV photon Which one of the following will result in an electrontransition from the n = 4 level to the n = 7level in a hydrogen atom? emission of a 0.85 eVphoton emission of a 0.28 eVphoton absorption of a 0.57 eVphoton absorption of a 0.28 eVphoton emission of a 0.57 eV photon

Explanation / Answer

energy in n th level E = -13.6 eV / n ^ 2 energy in n=4 level is E ' = -13.6 / 16 energy in n=7 level is E " = -13.6 / 49 So, energy difference = - [ (-13.6 / 16 ) - ( -13.6 /49 )]                                 = - [ -0.85 eV + 0.27755 eV ]                                 = 0.572 eV

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