If the atom 100Fm257 follows the Bohr's model and the radius of last orbit of 100Fm257 is n times the Bohr radius, then find n

Question

If the atom 100Fm257 follows the Bohr's model and the radius of last orbit of 100Fm257 is n times the Bohr radius, then find n (A) 100 (B) 200 (C) 4 (D) 1/4

Tardigrade Admin · Accepted Answer

(rm)=((m2/Z))(0.53 mathringA) =(n×0.53) mathringA ∴ (m2/Z)=n m = 5 for 100Fm257 (the outermost shell) and z = 100 ∴ n=((5)2/100)=(1/4)

Q. If the atom $_{100} F m^{257}$ follows the Bohr's model and the radius of last orbit of $_{100} F m^{257}$ is n times the Bohr radius, then find n

100

200

4

1/4

$(r_{m}) = (\frac{m ^{2}}{Z}) (0.53 \overset{˚}{A})$
$= (n \times 0.53) \overset{˚}{A}$
$∴ \frac{m ^{2}}{Z} = n$
m = 5 for $_{100} F m^{257}$ (the outermost shell) and z = 100
$∴ n = \frac{( 5 ) ^{2}}{100} = \frac{1}{4}$

Q. If the atom 100​Fm257 follows the Bohr's model and the radius of last orbit of 100​Fm257 is n times the Bohr radius, then find n

100

200

4

1/4

(rm​)=(Zm2​)(0.53A˚) =(n×0.53)A˚ ∴Zm2​=n m = 5 for 100​Fm257 (the outermost shell) and z = 100 ∴n=100(5)2​=41​

Q. If the atom $_{100} F m^{257}$ follows the Bohr's model and the radius of last orbit of $_{100} F m^{257}$ is n times the Bohr radius, then find n

$(r_{m}) = (\frac{m ^{2}}{Z}) (0.53 \overset{˚}{A})$
$= (n \times 0.53) \overset{˚}{A}$
$∴ \frac{m ^{2}}{Z} = n$
m = 5 for $_{100} F m^{257}$ (the outermost shell) and z = 100
$∴ n = \frac{( 5 ) ^{2}}{100} = \frac{1}{4}$