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

Radius of Bohr’s orbit Rn=0.529 Ao ×n2zRadius of Bohr’s orbit for hydrogen, Rn=0.529 Ao ×n2For third orbit (R3) = 0.529 Ao ×9 = r3 andFourth orbit (R4) = 0.59 Ao ×16=r4∴r4=16r39

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

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Chemistry Class 12th Chemistry NCERT Exemplar Solutions Class 12th Chapter Four Chemical Bonding and Molecular Structure

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

Option 1 -

$r_{4} = \frac{9}{16} r_{3}$

Option 2 -

$r_{4} = \frac{16}{9} r_{3}$

Option 3 -

$r_{4} = \frac{3}{4} r_{3}$

Option 4 -

$r_{4} = \frac{4}{3} r_{3}$

3 Views | Posted 2 months ago

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1 Answer

Answered by

Payal Gupta | Contributor-Level 10

2 months ago

Correct Option - 2

Detailed Solution:

Radius of Bohr’s orbit $R_{n} = 0.529 \overset{o}{A} \times \frac{n^{2}}{z}$

Radius of Bohr’s orbit for hydrogen, $R_{n} = 0.529 \overset{o}{A} \times n^{2}$

For third orbit (R₃) = $0.529 \overset{o}{A} \times 9$ = r₃ and

Fourth orbit (R₄) = $0.59 \overset{o}{A} \times 16 = r_{4}$

$∴ r_{4} = \frac{16 r_{3}}{9}$

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

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