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Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

The fundamental frequency of a vibrating string is directly proportional to the

Options

  1. Atension
  2. Binverse of its length
  3. Cdensity
  4. Ddiameter

Correct answer

B. inverse of its length

Step-by-step solution

The fundamental frequency of a vibrating string is given by the formula: f = 1 2L T where L is the length of the string, T is the tension, and is the linear mass density. From the formula, it is clear that the fundamental frequency is directly proportional to the inverse of the length of the string, i.e., f 1 L . The frequency is proportional to the square root of tension ( f T ), inversely proportional to the square root of density ( f 1 ), and inversely proportional to the diameter ( f 1 d ). Thus, the fundamenta

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