Question

If, in hydrogen atom, radius of $n^{\text {th }}$ Bohr orbit is $r_{n}$, frequency of revolution of electron in $n^{\text {th. }}$. orbit is $f_{n}$ and area enclosed by $n^{\text {th }}$ orbit is $A_{n}$, time period of electron is $T_{n}$ then which of the following graphs is/are correct?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B), (C)

As we know
$r_{n} \propto n^{2}$
$\Rightarrow A_{n} \propto n^{4}$
and $f_{n} \propto \frac{1}{n^{3}}$
$\Rightarrow T_{b} \propto n^{3}$
$\Rightarrow \frac{r_{n}}{r_{4}}=n^{2} ; \frac{A_{n}}{A_{1}}=n^{4} ;$
$\frac{f_{n}}{f_{1}}=\frac{1}{n^{3}}$