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Physics · Atomic Physics

NEET (UG) 2023 — Question 34

The radius of inner most orbit of hydrogen atom is 5.3×10−11 m5.3 \times 10^{-11} \mathrm{~m}. What is the radius of third allowed orbit of hydrogen atom?

  1. Option A:

    1.06  A01.06\;\mathop A\limits^0

  2. Option B:

    1.59  A01.59\;\mathop A\limits^0

  3. Option C:

    4.77  A0 4.77\;\mathop A\limits^0

    Correct
  4. Option D:

    0.53  A0 0.53\;\mathop A\limits^0

Answer: C

Step-by-step solution

rn=n2Zr_n=\frac{n^2}{Z}

r1r2=(13)2r2=9r1=5.3×10−11×9=47.7×10−11=4.77A˚\begin{aligned} \frac{r_1}{r_2} & =\left(\frac{1}{3}\right)^2 \\ r_2 & =9 r_1=5.3 \times 10^{-11} \times 9 \\ & =47.7 \times 10^{-11} \\ & =4.77 Å\end{aligned}

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2023
Paper
2023 paper
Subject
Physics
Chapter
Atomic Physics
Topic
Rutherford's and Bohr's Model of Atom

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