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An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photo sensitive metal having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, the value of n is ...

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Solution :`KE_(max)`=(MAXIMUM KINETIC ENERGY) =10eV
`phi=-2.75eV`
Total incident energy `E=phi+KE_(max)=12.75eV`
`:.DeltaE=E_(n)-E_(1)`
`12.75=(-13.6)/(n^(2))-(-(13.6)/(12))`
`12.75=(-13.6)/(n^(2))+13.6`
`(13.6)/(n^(2))=13.6-12.75`
`=0.85`
`:.(13.6)/(0.85)=n^(2)`
`:.n^(2)=16`
`:.n^(2)=4`


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