TS EAMCET 04 May 2019 Shift 1 Solved Paper

The expression for the wavelength of the Paschen series is given by
‌

1

λP

=R[‌

1

32

−‌

1

np2

],np=4,5,6
The expression for the wavelength for Lyman series is given by,
‌

1

λL

=R[1−‌

1

nL2

],nL=2,3,4...Substitute the given values in the above expressions.
‌

1

λP

‌‌=R[‌

1

9

−‌

1

16

]
‌‌=‌

7R

9×16

Also,
‌

1

λL

‌‌=R[1−‌

1

4

]
‌‌=‌

3R

4

The ratio ‌

λp

λL

is calculated as

‌

λp

λL

‌‌=‌

3R 4

7R 9 ×16

‌‌=15.42
This implies that 15<‌

λp

λL

<16