1.

The Rydberg constant of H_2 atom is 10967700 m^(-1). Calculate the short and long wavelength limits in its Lyman series :

Answer»

602 Å, 906Å
204Å, 306Å
911Å, 1212Å
None of these

Solution :In Lyman series for short WAVELENGTH, `n=oo`
`1/(lambda_("short"))=R [1/1^(2)-(1)/((oo)^(2))]=R=10967700`
`lambda_("short")=(1)/(10967700)=0.911 XX 10^(-7) m=911Å`
For long wavelength, n=2
`1/(lambda_("short"))=R [1/1^(2)-(1)/((oo)^(2))]=R=10967700`
`lambda_("short")=(1)/(10967700)=0.911xx 10^(-7)m=911Å`
For long wavelength, n=2
`1/lambda_("long")=R [1/1^(2)-1/2^(2)]=3/4R`
`lambda_("long")=1212 Å`


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