Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

A 4.0 kg block is suspended from the ceiling of an elevator by a string with a linear mass density of 19.2 10⁻³ kg m ⁻¹ . Determine the speed (relative to the string) at which a wave pulse can travel along the string, given that the elevator accelerates upward at a rate of 2.0 m s ⁻² . Use g = 10 m s ⁻² .

Options

  1. A41 m s ⁻¹
  2. B20 m s ⁻¹
  3. C50 m s ⁻¹
  4. D46 m s ⁻¹

Correct answer

C. 50 m s ⁻¹

Step-by-step solution

The effective acceleration of the block in the elevator accelerating upward is given by: g_ eff = g + a = 10 + 2.0 = 12.0 m s ⁻² The tension in the string is equal to the apparent weight of the suspended block: T = M g_ eff = 4.0 12.0 = 48 N The speed of a transverse wave pulse on a string is given by the formula: v = T Substituting the given values: v = 48 19.2 10⁻³ v = 48000 19.2 = 2500 v = 50 m s ⁻¹

Practice Wave Motion and Waves on a String on Quantrex Academy →

More from Wave Motion and Waves on a String

A wave pulse travelling on a string at a speed of 40 cm s ⁻¹ in the negative x -direction has its maximum located at x = 0 when t = 0 . Where will this maximum be found at t = 5 s A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Identify the direction in which the wave is travelling.A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Locate the maximum of the pulse at t = T and at t = 2T respectivelA wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Determine the dimensions of A , a , and T .A wave travelling on a string stretched along the X -axis has an equation given by y = A , e^ - ( x a + t T )^2 . Compute the wave speed.A stretched string carries a wave in the positive x -direction with a wave speed of v . The displacement of the particle at x = 0 is described by f(t) = A (t/T) . Determine the wavA pulse travelling on a string is described by the function y = a^3 (x - vt)^2 + a^2 , where a = 5 mm and v = 20 cm s ⁻¹ . Taking x = 0 at the middle of the string, determine the pThe 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 = Full Wave Motion and Waves on a String list All Concepts Of Physics MCQ Edition [Volume 1] PYQs