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Q.

The figure shows an energy level diagram for the hydrogen atom. Several transitions are marked as I, II, III, …….  . The diagram is only indicative and not to scale. Which of the following statements are correct ?

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a

The transition in which a Balmer series photon is absorbed is VI

b

Transition IV will occur when a hydrogen atom is irradiated with radiation of  wavelength 103 nm

c

Transition IV will emit the longest wavelength line in the visible portion of the  hydrogen spectrum

d

The wavelength of the radiation involved in transition II is 486 nm

answer is A, B, D.

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Detailed Solution

The jump of electron from n=2 to any higher orbit happens due to absorption of Balmer series photon.

hcλ=13.61n121n22

Put n1=2 and n2=4, we get λ=486nm

Transition IV will occur when a hydrogen atom is irradiated with radiation of  wavelength 656 nm.

hcλ=13.61n121n22

Put n1=2 and n2=3, we get λ=656nm

Transition IV will emit the longest wavelength line in the visible portion of the  hydrogen spectrum.

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