If the atom`(_100)Fm^(257)` follows the Bohr model the radius of `_(100)Fm^(257)` is `n` time the Bohr radius , then find `n` .

Options

A. 100
B. 200
C. 4
D. 1//4

Answer

C, D

Explanation

For an atom following Bohr's model , the radius is given by
`r_(m) = (r_(0) m^(2))/(Z)`
where `r_(0)` = Bohr's radius and`
`m` = orbit number
For` Fm, m = 5` `("i.e., fifth orbit in which the outermost electron is present")`
`:. r_(m) = (r_(0) 5^(2))/(100) (given) implies n = (1)/(4)`