Using Bohr's theory, calculate the radius(in mathringA ) of the tenth orbit in the hydrogen atom. Express the answer to the nearest integer value.

Question

Using Bohr's theory, calculate the radius(in mathringA ) of the tenth orbit in the hydrogen atom. Express the answer to the nearest integer value. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

The radius of Bohr orbit can be given as: rn=a0× (n2/Z),where,a0= textBohr radius=0.529 mathringA For hydrogen atom, Z=1 r 10= a 0 (10=100 a 0 r 10=100 × 0.529=52.9 mathringA ≃ 53 mathringA

Q. Using Bohr's theory, calculate the radius(in $\overset{˚}{A}$ ) of the tenth orbit in the hydrogen atom.

Express the answer to the nearest integer value.

The radius of Bohr orbit can be given as:
$r_{n} = a_{0} \times \frac{n ^{2}}{Z}, w h ere, a_{0} = Bohr radius = 0.529 \overset{˚}{A}$
For hydrogen atom, $Z = 1$
$r_{10} = a_{0} (10 = 100 a_{0} r_{10} = 100 \times 0.529 = 52.9 \overset{˚}{A} ≃ 53 \overset{˚}{A}$

Q. Using Bohr's theory, calculate the radius(in A˚ ) of the tenth orbit in the hydrogen atom. Express the answer to the nearest integer value.

The radius of Bohr orbit can be given as: rn​=a0​×Zn2​,where,a0​=Bohr radius=0.529A˚ For hydrogen atom, Z=1 r10​=a0​(10=100a0​r10​=100×0.529=52.9A˚≃53A˚

Q. Using Bohr's theory, calculate the radius(in $\overset{˚}{A}$ ) of the tenth orbit in the hydrogen atom.

Express the answer to the nearest integer value.

The radius of Bohr orbit can be given as:
$r_{n} = a_{0} \times \frac{n ^{2}}{Z}, w h ere, a_{0} = Bohr radius = 0.529 \overset{˚}{A}$
For hydrogen atom, $Z = 1$
$r_{10} = a_{0} (10 = 100 a_{0} r_{10} = 100 \times 0.529 = 52.9 \overset{˚}{A} ≃ 53 \overset{˚}{A}$