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Question

# Hydrogen atom emits blue light when an electron in it jumps from n=4 energy level to n=2 energy level. Which colour of light would the atom emit when an electron in it jumps from n=5 level to the n=2 level?

A
Red
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B
Yellow
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C
green
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D
violet
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Solution

## The correct option is D violetEnergy emitted during the transition of an electron, in hydrogen atom, is given by, En−Ep=E1(1p2−1n2) In transition, from orbit 5→2, E5→2=E1(122−152)=21 E1100 In transition, from orbit 4→2, E4→2=E1(122−142)=3E14 As more energy is liberated in transition from orbit 5→2, as compared to the transition from orbit 4→2, and, more energy liberated means more frequency of the emitted light. Now, violet has more frequency, less wavelength and more energy as compared Red. Hence, (D) is the correct answer. Alternate solution: Based on the intuition about energy emitted during transition of an electron, we can conclude that, more energy will be emitted during the 5→2 transition. i.e. E5→2>E4→2 So, more energy should be emitted due to the 5→2 transition. And, violet has more energy than red. Hence, (D) is the correct answer. Why this question?This question is based on the emission spectra of hyfrogen atom

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