Verified Solution • 2025–26 Session moderate

QPages 383-384: Q4: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 383-384: Q4 Solution: Let be the area enclosed by the th orbit in a hydrogen atom.…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly apply the logarithm to the numerator and denominator separately as $\ln A_n - \ln A_1$ instead of recognizing the argument as a single ratio $\frac{A_n}{A_1}$. Since $A_n \propto n^4$, the ratio simplifies to $n^4$, making the equation $\ln(n^4) = 4\ln n$, which yields a straight line with slope 4 rather than a difference of logs.

Let AnA_n be the area enclosed by the nn th orbit in a hydrogen atom. The graph of \lnAn/A1)\lnA_n/A_1) against ln⁡n)\ln n)

Multiple Choice Options

  • A will pass through the origin
  • B will be a straight line with slope 4
  • C will be a monotonically increasing nonlinear curve
  • D will be a circle

Step-by-Step Verified Solution

**Answer:** (b) will be a straight line with slope 4. **Step-by-Step Explanation:** A_n = �r_n_ _ n_. So ln(A_n/A_) = 4ln(n). The graph is a straight line with slope 4.

All Questions in this Chapter

QPage 383: Q1 QPage 383: Q2 QPage 383: Q3 QPage 383: Q4 QPage 383: Q5 QPage 383: Q6 QPage 383: Q7 QPage 383: Q8 QPage 383: Q9 QPage 383: Q10 QPage 383: Q11 QPage 383: Q12 QPage 383: Q13 QPages 382-383: Q1 QPages 382-383: Q2 QPages 382-383: Q3 QPages 382-383: Q4 QPages 382-383: Q5 QPages 382-383: Q6 QPages 382-383: Q7 QPages 382-383: Q8 QPages 382-383: Q9 QPages 382-383: Q10 QPages 383-384: Q1 QPages 383-384: Q2 QPages 383-384: Q3 QPages 383-384: Q4 QPages 383-384: Q5 QPages 383-384: Q6 QPages 384-386: Q1 QPages 384-386: Q2 QPages 384-386: Q3 QPages 384-386: Q4 QPages 384-386: Q5 QPages 384-386: Q6 QPages 384-386: Q7 QPages 384-386: Q8 QPages 384-386: Q9 QPages 384-386: Q10 QPages 384-386: Q11 QPages 384-386: Q12 QPages 384-386: Q13 QPages 384-386: Q14 QPages 384-386: Q15 QPages 384-386: Q16 QPages 384-386: Q17 QPages 384-386: Q18 QPages 384-386: Q19 QPages 384-386: Q20 QPages 384-386: Q21 QPages 384-386: Q22 QPages 384-386: Q23 QPages 384-386: Q24 QPages 384-386: Q25 QPages 384-386: Q26 QPages 384-386: Q27 QPages 384-386: Q28 QPages 384-386: Q29 QPages 384-386: Q30 QPages 384-386: Q31 QPages 384-386: Q32 QPages 384-386: Q33 QPages 384-386: Q34 QPages 384-386: Q35 QPages 384-386: Q36 QPages 384-386: Q37 QPages 384-386: Q38 QPages 384-386: Q39 QPages 384-386: Q40 QPages 384-386: Q41 QPages 384-386: Q42 QPages 384-386: Q43 QPages 384-386: Q44 QPages 384-386: Q45 QPages 384-386: Q46

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Bohr's Model and Physics of the Atom
Reference Textbook Solutions
Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2
Competitive PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring