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JEE Mains · Chemistry · STD 11 - 2. structure of atom

According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

  1. A Radius of \(3^{\text {rd }}\) orbit is nine times larger than that of \(1^{\text {st }}\) orbit.
  2. B Radius of \(8^{\text {th }}\) orbit is four times larger than that of \(4^{\text {th }}\) orbit.
  3. C Radius of \(6^{\text {th }}\) orbit is three time larger than that of \(4^{\text {th }}\) orbit.
  4. D Radius of \(4^{\text {th }}\) orbit is four times larger than that of \(2^{\text {nd }}\) orbit.
Verified Solution

Answer & Solution

Correct Answer

(C) Radius of \(6^{\text {th }}\) orbit is three time larger than that of \(4^{\text {th }}\) orbit.

Step-by-step Solution

Detailed explanation

\(\mathrm{r} \propto \mathrm{n}^2\) (1) \(\frac{\mathrm{r}_3}{\mathrm{r}_1}=\frac{9}{1}\) (2) \(\frac{\mathrm{r}_8}{\mathrm{r}_4}=\frac{64}{16}=4\) (3) \(\frac{\mathrm{r}_6}{\mathrm{r}_4}=\left(\frac{6}{4}\right)^2=\frac{9}{4}\) (4)…