1.

If the atom ""_(100)Fm^(257) follow the Bohr's model and the radius of ""_(100)Fm^(257) is n tince the Bohr radius, then find n :

Answer»

100
200
4
`1/4`

Solution :`r_(N)=(n^(2) h^(2) in_(0))/(pi mZe^(2))`
Here, n=1, Z=1 `therefore r_(H)=(h^(2) epsi_(0))/(pi me^(2))`
THUS, `r_(n)=(n^(2))/(Z) r_(H)`
Here, n=5 for OUTER most orbit, Z=100
`r_(n)=(5^(2))/(100) r_(H) rArr r_(n)=1/4 r_(H)`
But `r_(n) =n r_(H) ("given")`
`n=1/4`


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