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### 2214_hw_5_ans

Course: PHYS 214, Spring 2008
School: Cornell
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Word Count: 163

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2214, Physics Cornell, Spring 2009 Assignment 5 Short Answers 1. How important is the phase? (a) The linear phase reponse does not aect the shape of the waveform. (b) The nonlinear (quadratic) phase response does aect the shape of the waveform. 2. Wave interference. (a) s(x, t) = s0 cos(kx t) + s0 cos[k(x L) + t] = 2s0 cos k x (b) x = 0.04, 0.42, 0.81, 1.19, 1.58, 1.96 m : destructive interference (c) x = 0.23,...

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2214, Physics Cornell, Spring 2009 Assignment 5 Short Answers 1. How important is the phase? (a) The linear phase reponse does not aect the shape of the waveform. (b) The nonlinear (quadratic) phase response does aect the shape of the waveform. 2. Wave interference. (a) s(x, t) = s0 cos(kx t) + s0 cos[k(x L) + t] = 2s0 cos k x (b) x = 0.04, 0.42, 0.81, 1.19, 1.58, 1.96 m : destructive interference (c) x = 0.23, 0.62, 1.00, 1.39, 1.77 m : constructive interference 3. Phase and Group Velocity. (a) /k. (b) /k. (c) (2) (3) L 2 cos t kL 2 (1) 4. Doppler Ranging. (a) 83.2 Hz. (b) 84.4 Hz. (c) 83.5 Hz. (d) 3.0 Hz. (e) 82.0 Hz. 1 5. Precision Doppler speed measurements. (a) f 150 Hz, f /fs 0.0058. (b) f 220 Hz, f /fs 6.7 109 . (c) f 2 106 Hz, f /fs 3 109 . 7. Wave transmission across a boundary. (a) (b) Yes, when v2 is bigger than v1 . (c) No. (d) The reected pulse will have the same sign displacement as the incident pulse (not inverted). 8. Standing Wave Ratio. (a) R = 1. (b) A = sm (R 1), B = sm (R + 1). 2
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