Question

Calculate series limit of lyman series if r is 1.1×10^7

Answer 1

Answer:

1λ=R(1(n1)2−1(n2)2)⋅Z2

where,

R = Rydbergs constant (Also written is RH)

Z = atomic number

Since the question is asking for 1st line of Lyman series therefore

n1=1

n2=2

since the electron is de-exited from 1(st) exited state (i.e n=2) to ground state (i.e n=1) for first line of Lyman series.

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Therefore plugging in the values

1λ=R(1(1)2−1(2)2)⋅12

Since the atomic number of Hydrogen is 1.

By doing the math, we get the wavelength as

λ=43⋅912.A

since 1R=912.A

therefore

λ=1216.A

or

λ=121.6nm

Explanation: