Physics-
General
Easy

Question

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency n. Consider the following statements

I) The speed of the wave is 4 n cross times a b
II) The medium at a will be in the same phase as dafter fraction numerator 4 over denominator 3 n end fraction s
III) The phase difference between b and e is fraction numerator 3 pi over denominator 2 end fraction
Which of these statements are correct

  1. I, II and III    
  2. II only    
  3. I and III    
  4. III only    

The correct answer is: I and III


    Speed = n lambda = n left parenthesis 4 a b right parenthesis equals 4 n cross times a b blank open parentheses text As end text a b equals fraction numerator lambda over denominator 4 end fraction close parentheses
    Path difference between b and e is fraction numerator 3 lambda over denominator 4 end fraction
    So the phase difference =fraction numerator 2 pi over denominator lambda end fraction. Path difference
    = fraction numerator 2 pi over denominator lambda end fraction. fraction numerator 3 lambda over denominator 4 end fraction equals fraction numerator 3 pi over denominator 2 end fraction

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