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If the radius of the innermost Bohr orbit is 0.53 Å, the radius of the 4th orbit is ______ -

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Question

If the radius of the innermost Bohr orbit is 0.53 Å, the radius of the 4th orbit is ______

Options

  • 8.48 Å

  • 16 Å

  • 81 Å

  • 4 Å

MCQ
Fill in the Blanks

Solution

If the radius of the innermost Bohr orbit is 0.53 Å, the radius of the 4th orbit is 8.48 Å.

Explanation:

r0 = 0.53 Å

Since rn ∝ n2

∴ `"r"_"n"/"r"_0 = ("n"/1)^2 = (4)^2 = 16`

∴ rn = 16 × 0.53 = 8.48 Å

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De Broglie Hypothesis
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