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Question

What is the wavelength of the light emitted when an electron in a hydrogen atom undergoes transition from the energy level n = 4 to energy level n = 2? What is the colour corresponding to their wavelengths? (Given RH=109677 cm1)


A

486 nm, Blue

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B

576 nm, Blue

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C

650, Blue

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D

450 nm, Blue

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Solution

The correct option is A

486 nm, Blue


According to Balmer equation,
Wave number (¯ν)=RH[1n211n22]cm1
n1=2, n2=4, RH=109677 cm1
Substituting all the values, we get
¯ν=109677[1(2)21(4)2]cm1=109677×316cm1
Or λ=1¯ν=16109677×3cm=486 nm
The wavelength corresponds to blue color.


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