different between nth and (n + 1) th Boh...

different between nth and `(n + 1) th` Bohr's radius of hydrogen atom is equal to `(n = 1) th` Bohr's radius. The value of `n` is

A

`1`

B

`2`

C

`3`

D

`4`

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The correct Answer is:

D

If `r_(O)` is radius of first orbit of `'H'` atom, then
`r_(n)=(n^(2))/2 r_(O)`
`r_(n+1)=r_(n)=r_(n-1)`
`(n+1)^(2)-n^(2)=(n-1)^(2)`
`n=4`

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