Question

Determine the maximum wavelength that hydrogen in its ground state can absorb. What would be the next smaller wavelength that would work?​

Answer 1

Explanation:

For hydrogen atom, the wavelength :

λ

1

=R(

n

1

2

1

−

n

2

2

1

)

For ground state absorb, n

1

=1

For maximum wavelength, n

2

=2 so 1/λ

max

=R(1/1

2

−1/2

2

)=1.097×10

7

×3/4 or λ

max

=122nm

For next smaller wavelength, n

2

=3 now 1/λ=1.097×10

7

(1−1/9) or λ=103nm

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