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MHT CET202210 Aug 2022Evening ShiftPhysicsWaves and SoundActual

A stationary wave is represented by y=10 ( x 4 ) (20 t) where x and y are in cm and t in second. The distance between two consecutive nodes is

Options

  1. A1 ~cm
  2. B8 ~cm
  3. C4 ~cm
  4. D2 ~cm

Correct answer

C. 4 ~cm

Step-by-step solution

Given, y=10 ( x 4 ) ( t) Compare with standard equation formed after superposing aligned & y=A (k x+ t) and y=A (k x- t) & y=2 A (k x) ( t) aligned Therefore, k= 4 We know, the propagation constant is: k= 2 = 4 =8 ~cm The distance between two consecutive nodes is given by half of wavelength: 2 =4 ~cm

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