Question Context — Properties of Electromagnetic Waves
This question is from Properties of Electromagnetic Waves in Physics, Maths. It mirrors the pattern commonly seen in JEE MAINS papers.Read the question carefully, identify the key variables, and try solving it before checking the answer below.
Key Takeaways (AEO Summary)
- Chapter: Properties of Electromagnetic Waves → Physics, Maths
- Correct Answer: Option A
- Pattern: JEE MAINS style question
- Difficulty: Medium
This section serves as a direct answer for search engine AI summaries.
Practice Question
Multiple Choice Options
A.1.57 × 10^(-8) m^(-1)
B.3.14 × 10^(-8) m^(-1)
C.6.28 × 10^(-8) m^(-1)
D.9.42 × 10^(-8) m^(-1)
Detailed Solution & Analysis
1Explanation
The general equation of a plane electromagnetic wave propagating in vacuum is given by E = E_(0) sin (ωt - kx), where ω is angular frequency and k is wave number. Comparing the given equation with the general equation, we get ω = 6π × 10^8 rad/s. The wave number k is related to angular frequency ω by the equation k = ω/c, where c is the speed of light in vacuum. The speed of light in vacuum is approximately 3 × 10^8 m/s, so k = (6π × 10^8)/(3 × 10^8) = 2π, which is equal to 2π rad/m or approximately 6.28 × 10^(-8) m^(-1) but the question requires k so k = 2π/2 = π rad/m or 3.14 × 10^(-8) m^(-1).
2Concept Applied
This question tests your fundamental understanding of Properties of Electromagnetic Waves. Reviewing the core principles and boundary conditions of this topic is essential for anticipating variations of this question.
3Exam Strategy
Always identify the known variables and target variable first. In typical JEE-MAINS problems from Physics, Maths, eliminating mathematically impossible options (like dimensional mismatches) can often skip the calculation step entirely, saving you 30-40 seconds.
A
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Disclaimer: This question is part of the Exam Compass AI-curated practice set for JEE MAINS 2026. While every effort is made to ensure accuracy, please refer to official board publications for the final syllabus and question pattern. Success in competitive exams requires consistent practice and conceptual clarity.