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Question: Hydrogen atom emits light when it changes from n = 5 energy level to n = 2 energy level. Which colou...

Hydrogen atom emits light when it changes from n = 5 energy level to n = 2 energy level. Which colour of light would the atom emit?

A

Red

B

Yellow

C

Green

D

Violet

Answer

Violet

Explanation

Solution

1λ=R[122152]=R[14125]=21R100\frac{1}{\lambda} = R\left\lbrack \frac{1}{2^{2}} - \frac{1}{5^{2}} \right\rbrack = R\left\lbrack \frac{1}{4} - \frac{1}{25} \right\rbrack = \frac{21R}{100}

λ=10021R=10021×1.1×107=10023.1×107m\therefore\lambda = \frac{100}{21R} = \frac{100}{21 \times 1.1 \times 10^{7}} = \frac{100}{23.1} \times 10^{- 7}m

=4346A˚= 4346Å

This correspond to violet.