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NEETPhysicsWaves and Sound

A transverse harmonic wave on a string is described by y(x, t) = 5 ( 4 t - 3 x ) , where x and y are in metres and t is in seconds. Match the wave parameters in List-I with their corresponding values in List-II. List-I List-II A. Amplitude (in m) I. 2 B. Wavelength (in m) II. 5 C. Frequency (in Hz) III. 6 D. Wave velocity (in m/s) IV. 12

Options

  1. AA-II, B-IV, C-I, D-III
  2. BA-II, B-III, C-I, D-IV
  3. CA-I, B-III, C-II, D-IV
  4. DA-II, B-I, C-III, D-IV

Correct answer

B. A-II, B-III, C-I, D-IV

Step-by-step solution

The given wave equation is y = 5 ( 4 t - 3 x ) . Comparing this with the standard equation y = A ( t - kx) , we get: Amplitude, A = 5 m (Matches with II) Angular frequency, = 4 rad/s Frequency, f = 2 = 2 Hz (Matches with I) Angular wave number, k = 3 m ⁻¹ Wavelength, = 2 k = 6 m (Matches with III) Wave velocity, v = k = 4 /3 = 12 m/s (Matches with IV) Therefore, the correct matching is A-II, B-III, C-I, D-IV. Answer: A-II, B-III, C-I, D-IV

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