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Waves & Optics FAQ

What is the condition for a standing wave on a string fixed at both ends?

L = nλ/2. For fixed-fixed string: L = nλ/2, so only half-wavelengths fit. Fundamental mode (n=1): L = λ/2.

Short Answer

L = nλ/2 is the best answer.

Wave and optics questions test how frequency, wavelength, phase, interference, and geometry fit together. Start with the physical picture before choosing the equation.

For fixed-fixed string: L = nλ/2, so only half-wavelengths fit. Fundamental mode (n=1): L = λ/2.

Why This Answer Is Correct

This is a Medium-level question in Waves & Optics. The prompt is really testing whether you can connect the concept to its defining physical relationship instead of picking a nearby-but-wrong term.

If a waves question feels messy, sketch the geometry or phase relationship first, then return to the algebra.

Choices At A Glance

  • A. L = nλ
  • B. L = nλ/2
  • C. L = λ/n
  • D. L = 2nλ

When similar options appear on an exam, eliminate the ones that break the core law, use the wrong units, or confuse a definition with a consequence.

Topic Snapshot

Topic: Waves & Optics

Difficulty: Medium

Best next move: Re-state the governing law in your own words, then solve one more example from the same topic before moving on.