10.20 Answer the following questions:
(a) When a low flying aircraft passes overhead, we sometimes notice a slight shaking of the picture on our TV screen. Suggest a possible explanation.
(b) As you have learned in the text, the principle of linear superposition of wave displacement is basic to understanding intensity distributions in diffraction and interference patterns. What is the justification of this principle?
(b)
Hint: Recall the superposition of waves.
Step 1: Justify the principle of linear superposition.
The principle of linear superposition of wave displacement is essential to our understanding of intensity distributions and interference patterns. This is because superposition follows from the linear character of a differential equation that governs wave motion. If 𝑦1 and 𝑦2 are the solutions of the second-order wave equation, then a linear combination of 𝑦1 and 𝑦2 will also be the solution of the wave equation.
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