What is the wavelength of light emitted by the transition of a hydrogen electron from n=3...

Question

Question

What is the wavelength of light emitted by the transition of a hydrogen electron from n=3 to n=1 ?

a) 137 nm

b) 1.03 * 10^-7

c) 103 nm

A typed answer is prefered.

Answer 1

Answer #1

We know that the frequency ( ѵ) of the emitted light is given as-

where R is the Rydberg constant, where R= 109737.316 cm^-1 and n₁ = 1 ; n₂ = 3.

Putting the values and calculating we get ѵ= 97544.280 cm^-1

so wavelength ( λ ) = (1/ ѵ) cm = 102.5 x 10^-7 cm = 102.5 nm which is closer to 103 nm

The answer will be c) 103 nm

Answer 2

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