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Question

Question: What is the colour corresponding to the wavelength of light emitted when the electron in a hydrogen ...

What is the colour corresponding to the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from n = 4 to n = 2?

A

Blue

B

Red

C

Yellow

D

Green

Answer

Blue

Explanation

Solution

: 1λ=R[1n121n22]=109677[122142]cm1\frac{1}{\lambda} = R\left\lbrack \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right\rbrack = 109677\left\lbrack \frac{1}{2^{2}} - \frac{1}{4^{2}} \right\rbrack cm^{- 1}

=20564.4cm1= 20564.4cm^{- 1}

λ=120564.4cm1=486×107cmor486×109m\lambda = \frac{1}{20564.4cm^{- 1}} = 486 \times 10^{- 7}cmor486 \times 10^{- 9}m

Colour corresponding to this wavelength is blue.