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NEET2009PhysicsWaves and SoundActual

A wave in a string has an amplitude of 2 ~cm . The wave travels in the +ve direction of x axis with a speed of 128 ~ms ⁻¹ and it is noted that 5 complete waves fit in 4 ~m length of the string. The equation describing the wave is

Options

  1. Ay=(0.02) m (7.85 x+1005 t )
  2. By =(0.02) m (15.7 x -2010 t )
  3. Cy=(0.02) m (15.7 x +2010 t )
  4. Dy=(0.02) m (7.85 x-1005 t )

Correct answer

D. y=(0.02) m (7.85 x-1005 t )

Step-by-step solution

Key Idea Find the parameters and put in the general wave equation. Here, aligned A & =2 ~cm direction & =+ ve direction v & =128 ~ms ⁻¹ aligned and 5 =4 Now, k = 2 = 2 5 4 =7.85 and v = k =128 ~ms ⁻¹ aligned & = v k =128 7.85 & =1005 aligned array lll As, & y & = A ( kx - t ) & & y =2 (7.85 x -1005 t ) & & =(0.02) m (7.85 x -1005 t ) array

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