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The transition from the state n = 4 to n...

The transition from the state n = 4 to n = 3 in a hydrogen - like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition

A

`2 rarr 1`

B

`3 rarr 2`

C

`4 rarr 2`

D

`5 rarr 4`

Text Solution

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The correct Answer is:
D

In the Lyman series we get energy in the UV region. In the Balmer series we get energy in the visible region. In the Paschen/Brackett/P Fund series we get energy in the IR region.
We know that = `1/lamda = R (1/n_1^2-1/n_2^2)`
for hydrogen atom fore transition from `n_2 rarr n_1`.
For 4 to 3
`E prop 1/(lamda) = R (1/9 -1/16) = 7/(9 xx16)R`
For 2 to 1, 3 to 2, and 4 to 2 we get more values of `1/lamda` , that is, more energy than `4rarr3`.
IR radiation has less energy than UV radiation.
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