1.

Calculate the radius of Bohr's fifth orbit for hydrogen atom. Also calculate the radius of third orbit of He^(+) ion

Answer»

SOLUTION :For H-atom, `r_(N) = 0.529 xx n^(2) Å`. For 5th ORBIT, n = 5
`:. r_(5) = 0.029 xx 5^(2) = 13.225 Å= 1.3225nm`
For hydrogen like particles
`r_(n) = (n^(2))/(Z) xx a_(0)` (`a_(0)`= Bohr radius `= 0.529 Å`)
For `He^(+), Z = 2`. For 3rd orbit, n = 3
`:. r_(3) = (3^(2))/(2) xx 0.529 Å = 2.3805 Å = 0.23805nm`


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