If the radius of the 3rd Bohr's orbit of hydrogen atom r3 and the radius of 4th Bohr's orbit is r4. Then:

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>9</mn> </mrow> <mrow> <mn>1</mn> <mn>6</mn> </mrow> </mfrac> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </math> </span></p>
Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> <mn>6</mn> </mrow> <mrow> <mn>9</mn> </mrow> </mfrac> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </math> </span></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> </mrow> <mrow> <mn>4</mn> </mrow> </mfrac> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </math> </span></p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </math> </span></p>
2 Views|Posted 4 months ago
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1 Answer
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4 months ago
Correct Option - 2
Detailed Solution:

Radius of Bohr's orbit R n = 0 . 5 2 9 A o * n 2 z  

Radius of Bohr's orbit for hydrogen,   R n = 0 . 5 2 9 A o * n 2

For third orbit (R3) = 0 . 5 2 9 A o * 9 = r3 and

Fourth orbit (R4) = 0 . 5 9 A o * 1 6 = r 4

r 4 = 1 6 r 3 9  

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Orbital angular momentum = n h 2 π

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Chemistry Structure of Atom 2025

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