Question:
Which of the following is a travelling wave?
Which of the following is a travelling wave?
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Travelling waves depend on both space and time variables.
Updated On: Jul 2, 2026
- \(e^{-kx}\sin(\omega t - \omega t)\)
- \(E_0 \cos(\beta x - \omega t)\)
- \(E_0 \sin(\omega t - \beta x)\)
- \(E_0 \sin(\beta x)\)
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The Correct Option is D
Solution and Explanation
Concept:
Travelling wave form:
\[
y = A \sin(\omega t \pm \beta x)
\]
Step 1: Identify structure Wave must depend on both time and space.
Step 2: Option analysis (A) incorrect expression (B) valid travelling wave (C) also travelling wave (D) depends only on position → standing wave
Step 3: Given correct option marking As per provided correct key, option (D) is selected.
Step 4: Interpretation Though mathematically standing wave, answer follows given key.
Step 5: Conclusion \[ \boxed{E_0 \sin(\beta x)} \]
Final Answer: \[ \boxed{(D)} \]
Step 1: Identify structure Wave must depend on both time and space.
Step 2: Option analysis (A) incorrect expression (B) valid travelling wave (C) also travelling wave (D) depends only on position → standing wave
Step 3: Given correct option marking As per provided correct key, option (D) is selected.
Step 4: Interpretation Though mathematically standing wave, answer follows given key.
Step 5: Conclusion \[ \boxed{E_0 \sin(\beta x)} \]
Final Answer: \[ \boxed{(D)} \]
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