If the atom`""_100Fm^(257)` follows the Bohr model the radius of `""_100Fm^(257)` is `n` time the Bohr radius , then find `n` .

Options

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

Answer

D

Explanation

As, `r_(m)=((m^(2))/(Z))(0.53"Å")=(nxx0.53)`Å
`impolies (m^(2))/(Z)=n`
`m=5` (for `""_(100)Fm^(257)` the outermost shell)
and Z=100
`therefore n=((5)^(2))/(100)=(1)/(4)`.