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

One end of a string having a total length of 30 cm and a linear mass density of 0.5 g cm ⁻¹ is fixed to a wall, and the other end is attached to a frictionless ring that slides on a vertical rod. A wave pulse moves along the string towards the ring at a speed of 20 cm s ⁻¹ . The pulse is symmetric about its maximum, initially located 20 cm from the ring. Assuming no energy is lost during reflections at the ends, what

Options

  1. A5 10⁻⁴ N
  2. B4 10⁻³ N
  3. C2 10⁻³ N
  4. D2 10⁻² N

Correct answer

C. 2 10⁻³ N

Step-by-step solution

Given, linear mass density of the string, = 0.5 g cm ⁻¹ . Converting to SI units: = 0.5 10⁻³ kg 10⁻² m = 0.05 kg m ⁻¹ Speed of the wave pulse, v = 20 cm s ⁻¹ = 0.2 m s ⁻¹ . The speed of a transverse wave on a stretched string is given by the relation: v = T Rearranging the formula to solve for tension T : T = v^2 Substituting the given values: T = 0.05 (0.2)^2 T = 0.05 0.04 T = 0.002 N = 2 10⁻³ N

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