Hydrogen ( 1 H 1 ), Deuterium ( 1 H 2 ), singly ionised Helium ( 2 He 4 ) + and doubly ionised lithium ( 3 Li 6 ) ++ all have one electron around the nucleus. Consider an electron transition from n = 2 to n = 1 . If the wave lengths of emitted radiation are λ 1 ,  λ 2 ,  λ…

Question

Hydrogen ( 1 H 1 ), Deuterium ( 1 H 2 ), singly ionised Helium ( 2 He 4 ) + and doubly ionised lithium ( 3 Li 6 ) ++ all have one electron around the nucleus. Consider an electron transition from n = 2 to n = 1 . If the wave lengths of emitted radiation are &#955; 1 ,&#160; &#955; 2 ,&#160; &#955; 3 and &#955; 4 respectively then approximately which one of the following is correct ?

Aicharya · Accepted Answer

For radiation, we know that 1 &#955; = R Z 2 1 n 1 2 - 1 n 2 2 &#8756;&#160;&#160;&#160; &#955; &#8733; 1 Z 2 &#955; 1 &#8733; 1 1 &#955; 2 &#8733; 1 1 &#955; 3 &#8733; 1 4 &#955; 4 &#8733; 1 9 &#8756;&#160;&#160;&#160; &#955; 1 = &#955; 2 = 4 &#955; 3 = 9 &#955; 4

Hydrogen ( 1 H 1 ), Deuterium ( 1 H 2 ), singly ionised Helium ( 2 He 4 ) + and doubly ionised lithium ( 3…

Solution