A long string of mass per unit length of 0.65 g/m is attached at the point x = 0 to another long string of mass per unit length of 0.52 g/m. The strings are stretched out under a constant tension T = 81 N. A wave of amplitude 1.8 cm and wavelength 11 cm is generated in the lighter string. 1 (a) What is the speed of the wave in the lighter string? (b) What are the speed and wavelength of the transmitted wave in the heavier string? (c) Calculate the amplitude reflection and transmission coefficients R12 and T12 at the junctions between the two strings. (d) Using what you know about the power carried by a wave, calculate the incident power, the power reflected at the junction, and the power transmitted across the junction. Show that energy is conserved in this situation.
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