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

A string with a total length of 30 cm and a linear mass density of 0.5 g cm ⁻¹ is attached to a fixed wall at one end, while its other end is tied to a frictionless ring that is free to slide on a vertical rod, as shown in the figure. A wave pulse is generated on the string, travelling towards the ring at a speed of 20 cm s ⁻¹ . The pulse is symmetric around its peak, which is initially situated at a distance of 20 c

Options

  1. A2 s
  2. B1 s
  3. C4 s
  4. D3 s

Correct answer

A. 2 s

Step-by-step solution

Given the wave speed v = 20 cm s ⁻¹ and the initial distance of the pulse peak from the ring is d = 20 cm . The time taken by the pulse to reach the ring is t₁ = d v = 20 20 = 1 s . Since the ring is free to slide, it acts as a free boundary. Reflection at a free boundary occurs without any phase reversal, so the upright pulse reflects as an upright pulse moving in the opposite direction. For the string to regain its initial spatial shape, the symmetric upright pulse must return to its original position. The distan

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