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 travelling wave is passing along a string in the positive x -direction with a wave speed of 20 cm s ⁻¹ . The transverse displacements of the particles of the string at t = 0 are plotted in the associated figure. Determine the frequency of the wave.

Options

  1. A5 Hz
  2. B10 Hz
  3. C2.5 Hz
  4. D80 Hz

Correct answer

B. 10 Hz

Step-by-step solution

The given graph shows the displacement y of the particles of the string as a function of position x at time t = 0 . The wavelength of a wave is the distance over which the wave's shape repeats, which corresponds to the length of one complete cycle. From the graph, the wave starts a cycle at x = 0 , crosses the mean position at x = 2 cm (completing half a cycle), and returns to the same phase at x = 4 cm (completing one full cycle). Therefore, the wavelength is = 4 cm .

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