Verified Solution • 2025–26 Session moderate

QPage 249: Q2: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Due to a Current Page 249: Q2 Solution: Consider three quantities , and . Here, is the length of a…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often incorrectly assume the product $CR$ has dimensions of time, leading them to believe $l/CR$ is not a velocity; however, since $R$ has dimensions of impedance ($M T^{-1}$) and $C$ is $T^2 M^{-1} L^{-2}$, the product $CR$ simplifies to $T$, making $l/CR$ dimensionally equivalent to velocity ($L T^{-1}$).

Consider three quantities x=E/Bx = E/B, y=1/μ0ϵ0y = \sqrt{1/\mu_0\epsilon_0} and z=l/CRz = l/CR. Here, ll is the length of a wire, CC is a capacitance and RR is a resistance. All other symbols have standard meanings.

Multiple Choice Options

  • A x,yx, y have the same dimensions.
  • B y,zy, z have the same dimensions.
  • C z,xz, x have the same dimensions.
  • D None of the three pairs have the same dimensions.

Step-by-Step Verified Solution

**Answer:** (a), (b), (c). **Step-by-Step Explanation:** x = E/B has dimensions of velocity (LT__). y = �(1/____) = c has dimensions LT__. z = l/(CR) has dimensions LT__. So all three have the same dimensions.

All Questions in this Chapter

QPage 248: Q1 QPage 248: Q2 QPage 248: Q3 QPage 248: Q4 QPage 248: Q5 QPage 248: Q6 QPage 248: Q7 QPage 248: Q8 QPage 248: Q9 QPage 248: Q10 QPage 248: Q11 QPage 248: Q12 QPage 249: Q1 QPage 249: Q2 QPage 249: Q3 QPage 249: Q4 QPage 249: Q5 QPage 249: Q6 QPage 249: Q7 QPages 248-249: Q1 QPages 248-249: Q2 QPages 248-249: Q3 QPages 248-249: Q4 QPages 248-249: Q5 QPages 248-249: Q6 QPages 248-249: Q7 QPages 248-249: Q8 QPages 248-249: Q9 QPages 248-249: Q10 QPages 248-249: Q11 QPages 248-249: Q12 QPages 249-253: Q1 QPages 249-253: Q2 QPages 249-253: Q3 QPages 249-253: Q4 QPages 249-253: Q5 QPages 249-253: Q6 QPages 249-253: Q7 QPages 249-253: Q8 QPages 249-253: Q9 QPages 249-253: Q10 QPages 249-253: Q11 QPages 249-253: Q12 QPages 249-253: Q13 QPages 249-253: Q14 QPages 249-253: Q15 QPages 249-253: Q16 QPages 249-253: Q17 QPages 249-253: Q18 QPages 249-253: Q19 QPages 249-253: Q20 QPages 249-253: Q21 QPages 249-253: Q22 QPages 249-253: Q23 QPages 249-253: Q24 QPages 249-253: Q25 QPages 249-253: Q26 QPages 249-253: Q27 QPages 249-253: Q28 QPages 249-253: Q29 QPages 249-253: Q30 QPages 249-253: Q31 QPages 249-253: Q32 QPages 249-253: Q33 QPages 249-253: Q34 QPages 249-253: Q35 QPages 249-253: Q36 QPages 249-253: Q37 QPages 249-253: Q38 QPages 249-253: Q39 QPages 249-253: Q40 QPages 249-253: Q41 QPages 249-253: Q42 QPages 249-253: Q43 QPages 249-253: Q44 QPages 249-253: Q45 QPages 249-253: Q46 QPages 249-253: Q47 QPages 249-253: Q48 QPages 249-253: Q49 QPages 249-253: Q50 QPages 249-253: Q51 QPages 249-253: Q52 QPages 249-253: Q53 QPages 249-253: Q54 QPages 249-253: Q55 QPages 249-253: Q56 QPages 249-253: Q57 QPages 249-253: Q58 QPages 249-253: Q59 QPages 249-253: Q60 QPages 249-253: Q61

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Magnetic Field Due to a Current
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