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MHT CET20243 May 2024Morning ShiftPhysicsWaves and SoundActual

The displacement of a wave is given by y=0 002 (100 t+x) where ' x 'and ' y ' are in metre and ' t ' is in second. This represents a wave

Options

  1. Aof wavelength one metre
  2. Btravelling with a velocity of 100 ~m / s in the negative x -direction
  3. Cof frequency ( 100 ) Hz
  4. Dtravelling with a velocity of ( 50 ) m / s in the positive x -direction

Correct answer

B. travelling with a velocity of 100 ~m / s in the negative x -direction

Step-by-step solution

Comparing y =0.002 ( t + x ) with y = a ( t + kx ) We get =100 rad / s and k =1 rad / m and a =0.002 n = 2 = 100 2 = 50 ~Hz Velocity v = k =100 ~m / s and k = 2 = 2 k =2 ~m Thus, it represents a wave travelling with a velocity of 100 ~m / s in the -ve direction.

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