AP EAPCET 05-Jul-2022 Shift 2 Paper

We know that, frequency of light radiation emitted during the transition of electron from energy level n2 to n1 in H-atom
v=Z2Rc[‌

1

n12

−‌

1

n22

](∵Z=1‌ for hydrogen ‌)
where R is Rydberg constant and c is speed of light.
For the first case n1=2 and n2=4
‌v1=Rc(‌

1

22

−‌

1

42

)=Rc×‌

3

16

‌v1=‌

3Rc

16

......(i)
‌

3

7

times of transition of Li atom =‌

7

3

×‌

3Rc

16

=‌

7Rc

16

For lithium atom, Z=3 and for transition for 4 th orbit to 3 rd orbit is given as
v2‌=Z2Rc(‌

1

32

−‌

1

42

)
‌=(3)2Rc(‌

7

144

)=‌

7

16

Rc