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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Wave Motion and Waves on a String

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

A wave traveling on a string at a speed of 10 m s^ -1 causes each...

A wave traveling on a string at a speed of 10 m s−110 \text{ m s}^{-1} causes each particle of the string to oscillate with a time period of 20 ms20 \text{ ms}. Determine the wavelength of the wave.

Options

  1. A40 cm40 \text{ cm}
  2. B20 cm20 \text{ cm}
  3. C10 cm10 \text{ cm}
  4. D200 cm200 \text{ cm}

Correct answer

B. 20 cm20 \text{ cm}

Step-by-step solution

Given, wave speed v=10 m s−1v = 10 \text{ m s}^{-1}

Time period T=20 ms=20×10−3 sT = 20 \text{ ms} = 20 \times 10^{-3} \text{ s}

The wavelength λ\lambda is given by the relation λ=vT\lambda = vT

Substituting the values, we get λ=10×20×10−3 m\lambda = 10 \times 20 \times 10^{-3} \text{ m}

λ=0.2 m=20 cm\lambda = 0.2 \text{ m} = 20 \text{ cm}
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