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

The figure displays a wave pulse at t = 0 . The pulse travels to the right with a speed of 10 cm s ⁻¹ . Determine the respective rightward shifts of the shape of the string at t = 1 s , 2 s and 3 s .

Options

  1. A5 cm , 10 cm , and 15 cm
  2. B10 cm , 20 cm , and 30 cm
  3. C20 cm , 40 cm , and 60 cm
  4. D1 cm , 2 cm , and 3 cm

Correct answer

B. 10 cm , 20 cm , and 30 cm

Step-by-step solution

The speed of the wave pulse is given as v = 10 cm s ⁻¹ . The rightward shift of the wave pulse in time t is the distance traveled by it, which is given by d = v t . At t = 1 s , the shift is d₁ = 10 cm s ⁻¹ 1 s = 10 cm . At t = 2 s , the shift is d₂ = 10 cm s ⁻¹ 2 s = 20 cm . At t = 3 s , the shift is d₃ = 10 cm s ⁻¹ 3 s = 30 cm . Therefore, the respective rightward shifts are 10 cm , 20 cm , and 30 cm .

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