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Question 31348
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Waves on String: Tension Variation MCQ

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Tension VariationMediumQuestion 31348

Question

A heavy string hanging vertically: wave speed varies with position because:
  1. A
    Temperature changes
  2. B
    Tension varies due to weight of string below each point
    Correct
  3. C
    Density varies
  4. D
    Cross section changes

Correct answer

Tension varies due to weight of string below each point

Explanation

T(x) = μgx where x is measured from free end (bottom). v(x) = √(T/μ) = √(gx) increases upward. This creates non-uniform wave speed.

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