1.

If the longest wavelength of the ultraviolet region of hydrogen spectrum is lambda_(0) then the shortest wavelength of its infrared region is ......

Answer»

`(46)/(7)lambda_(0)`
`(20)/(3)lambda_(0)`
`(36)/(5)lambda_(0)`
`(27)/(4)lambda_(0)`

Solution :For maximum WAVELENGTH of ultravioli spectrum n = 2,
`:.(1)/(lambda_(0))=R[(1)/(l^(2))-(1)/(n^(2))]`
`=R[1-(1)/(4)]`
`(1)/(lambda_(0))=(3R)/(4) .....(1)`
For minimum wavelength of infrared spectrum for Paschen series, n = 0
`(1)/(lambda)=R[(1)/(3^(2))-(1)/(n^(2))]`
`=R[(1)/(9)-(1)/(OO^(2))]`
`=(R)/(9)....(2)`
By taking ratio of (1) and (2)
`(lambda)/(lambda_(0))=(3R)/(4)xx(9)/(R)`
`:. lambda=(27)/(4)lambda_(0)`


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