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

Answer

B

Explanation

`(r_(m))((m^(2))/(2))(0.53A)=(nxx0.53)A`
`:. (m^(2))/(z)=n`
m = 5 for `100 Fm_(257)` (the outermost shell)
and `z = 100`
`:. n = ((5)^(2))/(100)=(1)/(4)`