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

Three resonant frequencies of a string are measured as 90 Hz , 150 Hz , and 210 Hz . Determine which overtones these given frequencies represent.

Options

  1. A1st, 3rd, and 5th
  2. B2nd, 3rd, and 4th
  3. C3rd, 5th, and 7th
  4. D2nd, 4th, and 6th

Correct answer

D. 2nd, 4th, and 6th

Step-by-step solution

The given resonant frequencies of the string are 90 Hz , 150 Hz , and 210 Hz . The fundamental frequency f₀ is the highest common factor (HCF) of these frequencies. f₀ = HCF (90, 150, 210) = 30 Hz The harmonic numbers corresponding to the given frequencies are: n₁ = 90 30 = 3 (3rd harmonic) n₂ = 150 30 = 5 (5th harmonic) n₃ = 210 30 = 7 (7th harmonic) For a string fixed at both ends, the n^ th harmonic corresponds to the (n-1)^ th overtone. Therefore, the 3rd, 5th, and 7th harmonics correspond to the 2nd, 4th, and

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