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

Two strings A and B , constructed from the identical material, are subjected to the same tension. The radius of string A is twice the radius of string B . A transverse wave propagates on A with speed v_A and on B with speed v_B . What is the ratio v_A/v_B ?

Options

  1. A1 4
  2. B1 2
  3. C2
  4. D4

Correct answer

B. 1 2

Step-by-step solution

The speed of a transverse wave on a string is given by v = T , where T is the tension and is the linear mass density. The linear mass density can be written as = r^2 , where is the density of the material and r is the radius of the string. Since both strings are made of the same material and subjected to the same tension, T and are constant. Therefore, the speed v is inversely proportional to the radius r : v 1 r The ratio of the speeds is: v_A v_B = r_B r_A Given that r_A = 2r_B , substituting this value gives: v_

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