Physics-
General
Easy

Question

A string consists of two parts attached at x = 0. The right part of the string left parenthesis x greater than 0 right parenthesis has mass m per unit length and the left part of the string left parenthesis x less than 0 right parenthesis has mass ml per unit length. The string tension is T. If a wave of unit amplitude travels along the left part of the string, as shown in the figure, what is the amplitude of the wave that is transmitted to the right part of the string?

  1. 1    
  2. fraction numerator 2 over denominator 1 plus square root of mu subscript l end subscript divided by mu subscript r end subscript end root end fraction    
  3. fraction numerator 2 square root of mu subscript l end subscript divided by mu subscript r end subscript end root over denominator 1 plus square root of mu subscript l end subscript divided by mu subscript r end subscript end root end fraction    
  4. fraction numerator square root of mu subscript l end subscript divided by mu subscript r end subscript end root minus 1 over denominator square root of mu subscript l end subscript divided by mu subscript r end subscript end root plus 1 end fraction    

The correct answer is: fraction numerator 2 square root of mu subscript l end subscript divided by mu subscript r end subscript end root over denominator 1 plus square root of mu subscript l end subscript divided by mu subscript r end subscript end root end fraction

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