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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 violet
Energy emitted during the transition of an electron, in hydrogen atom, is given by,
EnEp=E1(1p21n2)

In transition, from orbit 52,

E52=E1(122152)=21 E1100

In transition, from orbit 42,

E42=E1(122142)=3E14

As more energy is liberated in transition from orbit 52, as compared to the transition from orbit 42, 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 52 transition.
i.e. E52>E42
So, more energy should be emitted due to the 52 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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