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PART 1: If in, 1/λ=Ry + (1/n1^2 - 1/n2^2) you set n1 = 1 and take n2 greater th

ID: 2105172 • Letter: P

Question

PART 1:


If in,

1/λ=Ry + (1/n1^2 - 1/n2^2)


you set n1 = 1 and take n2 greater than 1,

you generate what is known as the Lyman

series.

Find the wavelength of the ï¬rst member of this series. The value of ¯h is

1.05457 × 10−34 J · s ; the Rydberg constant

for hydrogen is 1.09735 × 107 m−1

; the Bohr

radius is 5.29177 × 10−11 m ; and the ground

state energy for hydrogen is 13.6057 eV .

Answer in units of nm


PART 2:


Consider the next three members of this series. The wavelengths of successive members

of the Lyman series approach a common limit

as n2 → ∞ .

What is this limit?

Answer in units of nm

Explanation / Answer

Part2: Next three members in the series are 102.6 nm, 97.25nm and 94.97 nm.