1.

Given the H-atom R_(n,l) = (1)/(9sqrt(3))((1)/(a_(o)))^(3//2)(6 - 6sigma + sigma^(2))e^(-sigma//2) where sigma = (2Zr)/(na_(o)), a_(o) = 0.53Å Select the correct statement for the given orbital ?

Answer»

Orbital is `3s`
GRAPH for the given orbital is :
Distance between radial nodes is equal to `3sqrt(3) a_(o)`
None of these

Solution :(A) orbital is `3s`.
(B)
(c) For radial nodes
`sigma = (+6 +- sqrt(36 - 24))/(2)`
`(2r)/(3a_(o)) = 3 +- sqrt(3)`
`r = (9 +- 3sqrt(3))/(2) a_(o)`
first `R.N.` has `r =(9 - 3sqrt(3))/(2) a_(o)`
`2^(nd) R.N.` has `r =(9 + 3sqrt(3))/(2) a_(o)`


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