2214_hw_5_ans

2214_hw_5_ans - (e 82.0 Hz 1 5 Precision Doppler speed...

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Physics 2214, Cornell, Spring 2009 Assignment 5 Short Answers 1. How important is the phase? (a) The linear phase reponse does not aﬀect the shape of the waveform. (b) The nonlinear (quadratic) phase response does aﬀect the shape of the waveform. 2. Wave interference. (a) s ( x, t ) = s 0 cos( kx - ωt ) + s 0 cos[ k ( x - L ) + ωt ] = 2 s 0 cos ± k ² x - L 2 ³´ cos ² ωt - kL 2 ³ (1) (b) x = 0 . 04 , 0 . 42 , 0 . 81 , 1 . 19 , 1 . 58 , 1 . 96 m : destructive interference (2) (c) x = 0 . 23 , 0 . 62 , 1 . 00 , 1 . 39 , 1 . 77 m : constructive interference (3) 3. Phase and Group Velocity. (a) Δ ω/ Δ k . (b) ¯ ω/ ¯ k . (c) 4. Doppler Ranging. (a) 83.2 Hz. (b) 84.4 Hz. (c) 83.5 Hz. (d) 3.0 Hz.

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Unformatted text preview: (e) 82.0 Hz. 1 5. Precision Doppler speed measurements. (a) Δ f ≈ 150 Hz, Δ f/f s ≈ . 0058. (b) Δ f ≈ 220 Hz, Δ f/f s ≈ 6 . 7 × 10-9 . (c) Δ f ≈ 2 × 10 6 Hz, Δ f/f s ≈ 3 × 10-9 . 7. Wave transmission across a boundary. (a) (b) Yes, when v 2 is bigger than v 1 . (c) No. (d) The reﬂected pulse will have the same sign displacement as the incident pulse (not inverted). 8. Standing Wave Ratio. (a) R =-1. (b) A = s m ( R-1), B = s m ( R + 1). 2...
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This note was uploaded on 04/01/2009 for the course PHYS 2214 taught by Professor Giambattista,a during the Spring '07 term at Cornell.

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2214_hw_5_ans - (e 82.0 Hz 1 5 Precision Doppler speed...

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