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A traveling wave on stretched string can be understood by the function y = f(x -vt). Here v is the wave speed ‘x’ is co-ordinate of point and ‘y’ is its instantaneous displacement. To describe the wave completely, we must specify the function f. If the wave moves in negative x-direction y (x, t) = f(x + vt) and if it moves in positive x-direction y (x, t) = f(x - vt). The general relation for a traveling wave must satisfy the relation fraction numerator d to the power of 2 end exponent f over denominator d x to the power of 2 end exponent end fraction equals fraction numerator 1 over denominator v to the power of 2 end exponent end fraction times fraction numerator d to the power of 2 end exponent y over denominator d t to the power of 2 end exponent end fraction, if plane wave exists. The particle velocity and wave velocity are related by Vpa = - (slope) (wave velocity ). Answer the following questionsConsider the snapshot of a wave traveling in positive x-direction

  1. The particle A is moving in -ve y-direction and particle B is moving in +y-direction    
  2. The particle B is moving in -ve y-direction and particle A is moving in +y-direction    
  3. Both are moving in the +ve y-direction    
  4. Both are moving in -ve y-direction    

The correct answer is: The particle A is moving in -ve y-direction and particle B is moving in +y-direction

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