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Question

Calculate the radius of the third orbit of a hydrogen atom; the radius of the first Bohr orbit of hydrogen atom is 0.53 Å.


A

4.77 Å

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B

1.59 Å

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C

1.06 Å

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D

2.12 Å

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Solution

The correct option is A

4.77 Å


Try to recall the formula for radius of nth orbit from Bohr's postulates.

rn = r1 (n2)

= r1 (32) Where r1 is the radius corresponding to the ground-state n=1

= 0.53 × 9 = 4.77 Å


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