According to Bohr’s model of hydrogen atom, which of the following statement is incorrect? [2025]

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Q.
According to Bohr’s model of hydrogen atom, which of the following statement is incorrect [2025]

1 Radius of 3rd orbit is nine times larger than that of 1st orbit.

2 Radius of 8th orbit is four times larger than that of 4th orbit.

3 Radius of 6th orbit is three times larger than that of 4th orbit.

4 Radius of 4th orbit is four times larger than that of 2nd orbit.

Ans.
(3)

Radius $(r)$ of $n^{th}$ shell of a single electron specie with atomic number Z is given by:

$r = 52.9 \frac{n^{2}}{Z} pm$

Thus, $\frac{r_{6}}{r_{4}} = \frac{6^{2}}{4^{2}} = \frac{9}{4}$

Solution

Q.
According to Bohr’s model of hydrogen atom, which of the following statement is incorrect [2025]

1 Radius of 3rd orbit is nine times larger than that of 1st orbit.

2 Radius of 8th orbit is four times larger than that of 4th orbit.

3 Radius of 6th orbit is three times larger than that of 4th orbit.

4 Radius of 4th orbit is four times larger than that of 2nd orbit.

Ans.
(3)

Radius $(r)$ of $n^{th}$ shell of a single electron specie with atomic number Z is given by:

$r = 52.9 \frac{n^{2}}{Z} pm$

Thus, $\frac{r_{6}}{r_{4}} = \frac{6^{2}}{4^{2}} = \frac{9}{4}$

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Solution

Q. According to Bohr’s model of hydrogen atom, which of the following statement is incorrect [2025]

1 Radius of 3rd orbit is nine times larger than that of 1st orbit.

2 Radius of 8th orbit is four times larger than that of 4th orbit.

3 Radius of 6th orbit is three times larger than that of 4th orbit.

4 Radius of 4th orbit is four times larger than that of 2nd orbit.

Ans. (3) Radius (r) of nth shell of a single electron specie with atomic number Z is given by: r=52.9 n2Zpm Thus, r6r4=6242=94

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Q.
According to Bohr’s model of hydrogen atom, which of the following statement is incorrect [2025]

Ans.
(3)

Radius $(r)$ of $n^{th}$ shell of a single electron specie with atomic number Z is given by:

$r = 52.9 \frac{n^{2}}{Z} pm$

Thus, $\frac{r_{6}}{r_{4}} = \frac{6^{2}}{4^{2}} = \frac{9}{4}$