If the atom 100 Fm 257 follows the Bohr's model and the radius of 100 Fm 257 is n times the Bohr radius, then find n :

Question

If the atom 100 Fm 257 follows the Bohr's model and the radius of 100 Fm 257 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) =(r × 0.53 mathringA) ∴ (m2/z)=n Here m=5 for 100 F m257 (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 $_{100} F m^{257}$ is $n$ times the Bohr radius, then find $n$ :

100

200

4

$\frac{1}{4}$

$r_{m} = (\frac{m ^{2}}{z}) (0.53 \overset{˚}{A})$
$= (r \times 0.53 \overset{˚}{A})$
$∴ \frac{m ^{2}}{z} = n$
Here $m = 5$ 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 100​Fm257 is n times the Bohr radius, then find n :

100

200

4

41​

rm​=(zm2​)(0.53A˚) =(r×0.53A˚) ∴zm2​=n Here 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 $_{100} F m^{257}$ is $n$ times the Bohr radius, then find $n$ :

$\frac{1}{4}$

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