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The ratio between the first three orbits...

The ratio between the first three orbits of hydrogen atom is

A

`1 : 2 : 3`

B

`2 : 4 : 6`

C

`1 : 4 : 9`

D

`1 : 3 : 5`

Text Solution

Verified by Experts

The correct Answer is:
C
`E_(n) = (-13.6 xx z^(2))/(n^(2)) (eV)/(atom)`
`n = 1, E_(1) = -13.6 (eV)/(atom)`
`n = 2, E_(2) = -3.4 (eV)/(atom)`
`n = 3, E_(3) = -1.51 (eV)/(atom)`
The ratio of three orbits
`E_(1) : E_(2) : E_(3) = 13.6 : 3.4 : 1.51`
`= 1 : 4 : 9`
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