The innermost orbit of the hydrogen atom has a diameter of 1.06 mathringA. What is the diameter (in mathringA ) of the tenth orbit?

Question

The innermost orbit of the hydrogen atom has a diameter of 1.06 mathringA. What is the diameter (in mathringA ) of the tenth orbit? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

As rn ≡ n2 ⇒ (r1/r10)=((1/10))2 ⇒ r10=100 × 1.06=106 mathringA

Q. The innermost orbit of the hydrogen atom has a diameter of $1.06 \overset{˚}{A}$ . What is the diameter (in $\overset{˚}{A}$ ) of the tenth orbit?

As $r_{n} \equiv n^{2}$
$\Rightarrow \frac{r _{1}}{r _{10}} = (\frac{1}{10})^{2}$
$\Rightarrow r_{10} = 100 \times 1.06 = 106 \overset{˚}{A}$

Q. The innermost orbit of the hydrogen atom has a diameter of 1.06A˚. What is the diameter (in A˚ ) of the tenth orbit?

As rn​≡n2 ⇒r10​r1​​=(101​)2 ⇒r10​=100×1.06=106A˚

Q. The innermost orbit of the hydrogen atom has a diameter of $1.06 \overset{˚}{A}$ . What is the diameter (in $\overset{˚}{A}$ ) of the tenth orbit?

As $r_{n} \equiv n^{2}$
$\Rightarrow \frac{r _{1}}{r _{10}} = (\frac{1}{10})^{2}$
$\Rightarrow r_{10} = 100 \times 1.06 = 106 \overset{˚}{A}$