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JIPMER 2006
Exam
JIPMER
Year
2006
Subject
Physics
Chapter
Atomic Physics

JIPMER 2006 · Physics · Atomic Physics

Radius of first Bohr orbit is r . What is the radius of 2 nd Bohr...

Radius of first Bohr orbit is rr. What is the radius of 2 nd Bohr orbit?

Options

  1. A8r8 r
  2. B2r2 r
  3. C4r4 r
  4. D22r2 \sqrt{2} r

Correct answer

C. 4r4 r

Step-by-step solution

Radius of Bohr orbit r∝n2r1r2=(n1n2)2⇒rr2=(12)2⇒rr2=14⇒r2=4r.\begin{array}{l} r \propto n^2 \\ \frac{r_1}{r_2} =\left(\frac{n_1}{n_2}\right)^2 \\ \Rightarrow \frac{r}{r_2} =\left(\frac{1}{2}\right)^2 \\ \Rightarrow \frac{r}{r_2} =\frac{1}{4} \\ \Rightarrow r_2 =4 r .\end{array}
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