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Suppose a sinusoidal wave on a string, having amplitude A and travelling in the −xˆ direction,...

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Physics

Suppose a sinusoidal wave on a string, having amplitude A andtravelling in the −xˆ direction, is partially reflected at thepoint x = 0, so that the reflected wave is in phase with theincident wave at x = 0 but has amplitude kA, where 0 ≤ k ≤ 1 is thereflection coefficient. a) Show that each point on the stringundergoes simple harmonic motion and determine how the amplitude ofthe simple harmonic motion varies with x b) Find the ratio ofmaximum to minimum amplitude, known as the standing wave ratio

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