6. A string of linear density p with negligible mass has point mass m attached to it at the middle. A transverse wave of wave number travels in the +x direction with a velocity magnitude equal to v. This wave is partly reflected and transmitted at the mass. a,, a, and o correspond to the incident, reflected and transmitted wave amplitudes respectively. Find the ratios a,/a, and at/a. (Hints: Apply the following boundary conditions at the location of the point mass • The string displacements just to the left and right of the point mass are equal. I The difference between the transverse force to the left and right of the point mass is equal to the product of the mass and its acceleration.

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).