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Match the column: `{:(,"Column I", , "Column II"),((A)," Ratio of velocity of electron in " 5^(th)" and "3^(rd) " exicted level for H-atom is",(P)," "(4)/(1)" " ),((B),"Ratio of wavelenght of series limit of Balmer to Lyman series for a H-atom is ",(Q),""(2)/(3)""),((C),"Ratio of wavelenght of photon corresponding to "beta"-line of Lyman series and "gamma"- line of Paschen series for a H-atom is ",(R),""(1)/(4)""),((D)," Ratio of energy difference between "3^(rd)" and "1^(st)" orbit of H-atom amd "He^(+)"ion is",(S),""(3)/(32)""):}` |
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Answer» Correct Answer - (A)P,Q,R(B)P,(C)S,(D)R (A) `Valpha(Z)/(n)` `(V_(6))/(V_(4))=(4)/(6)=(2)/(3)` (B) `((1)/(lambda))_(B)=R((1)/(2^(2))-(1)/(oo^(2)))` `((1)/(lambda_(1)))=R((1)/(1^(2))-(1)/(oo^(2)))` `1/(lambda_(B)/(1/lambda_(L)))=(1)/(4)lambda_(B)/(lambda_(L))=(4)/(1)` (C) `{:(beta-"line",("Second line")),((1/lambda)_(L)=,R(1/(1^(2))-(1)/(3^(2)))):}` `=(8R)/(9)` `{:(gamma-"line","(Third line)"),((1/lambda)_(P)=,R(1/(3^(2))-(1)/(6^(2)))):}` `=R((6^(2)-3^(2))/(6^(2)xx3^(2)))=(27R)/(324)=(3R)/(36)=(R)/(12)` `(((1)/(lambda)_(P)))/((1)/(lambda))_(C)=((R)/(12))/((8R)/(9))` `=(9)/(96)R=(3)/(32)R` (D) `Ealpha-Z^(2)/n^(2)` `(E_(3)-E_(1))_(H)/(therefore(E_(3)-E_(1))_(He^(+)))=(1)/(4)` |
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