A transverse wave travels from a string of linear density μ to another string of density 4μ under the same tension. If the transmitted average-power fraction is N/9, find N.
Physics · Wave Motion · Reflection, Refraction and Superposition of Waves
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Question

A transverse wave travels from a string of linear density μ to another string of density 4μ under the same tension. If the transmitted average-power fraction is N/9, find N.

G1 Physics · Accepted Answer

For an ideal lossless junction, R+𝒯 = 1. From the reflection coefficient, R = 1/9. Therefore, 𝒯 = 1−1/9 = 8/9. Hence, N = 8.