1.

If Delta E is the energy emitted in electron vots when an electronic transition occurs from higher energy level to a lower energy level in H-atom, the wavelength of the line produced is approximately equal to

Answer»

`(19800)/(DeltaE) Å`
`(12375)/(DeltaE) Å`
`(13600)/(DELTA E) Å`
`(21800)/(Delta E) Å`

Solution :`Delta E = hv = (HC)/(lamda) or lamda = (hc)/(Delta E)`
If `Delta E` is in joules,
`lamda = ((6.6 xx 10^(-34) KG m^(2) s^(-1)) (3.0 xx 10^(8) ms^(-1)))/(Delta E (kg m^(2) s^(-1)))`
`= (19.8 xx 10^(-26))/(Delta E) m`
If `Delta E` is in eV, then as `1 eV = 1.6 xx 10^(-19) J`
`lamda = (19.8 xx 10^(-26))/(Delta E xx 1.6 xx 10^(-19)) m = (12.375 xx 10^(-7))/(Delta E) m`
`= (12375 xx 10^(-10))/(Delta E) m = (12375)/(Delta E) Å`


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