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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Chemistry
Chapter
Structure of Atom

BITSAT 2023 · Paper 1 · Chemistry · Structure of Atom

The Bohr orbit radius for the hydrogen atom (n=1) is approximately...

The Bohr orbit radius for the hydrogen atom (n=1)(n=1) is approximately 0.530A˚0.530 Å. The radius for the first excited state (n=2)(n=2) orbit is (in A˚Å )

Options

  1. A0.13
  2. B1.06
  3. C4.77
  4. D2.12

Correct answer

D. 2.12

Step-by-step solution

Given : Radius of hydrogen atom =0.530A˚=0.530 Å, Number of excited state (n)=2(n)=2 and atomic number of hydrogen atom (Z)=1(Z)=1. We know that the Bohr radius(r)=n2Z× radius of atom =(2)21×0.530=4×0.530=2.12A˚(r)=\frac{n^2}{Z} \times \text{ radius of atom }=\frac{(2)^2}{1} \times 0.530 =4 \times 0.530=2.12 Å
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