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lecture17_tth_2101_S11

# lecture17_tth_2101_S11 - PHYS 2101 Spring 2011 I...

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PHYS 2101 I. Interference of Waves II. Standing Waves III. Heat and Temperature IV. Temperature Scales V. Heat Capacity A. Specific Heat B. Latent Heat Spring 2011

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PHYS 2101 Spring 2011 0 0 1 2 A λ -1 2 A 1 2 A -1 2 A 1 2 A 10π -1 2 A φ λ cos φ 2 Constructive Interference ) sin( 2 cos 2 2 1 Φ + - = + = wt kx A y y y R φ λ λ π φ = 2 Amp Amplitude
PHYS 2101 Spring 2011 π λ/2 0 0 3λ/2 0 0 5λ/2 0 0 7λ/2 0 0 9λ/2 0 0 φ λ cos φ 2 Destructive Interference ) sin( 2 cos 2 2 1 Φ + - = + = wt kx A y y y R φ λ λ π φ = 2 Amp Amplitude

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PHYS 2101 Spring 2011 π/4 λ/8 0.924 1.8 A π/3 λ/6 0.866 1.7 A π/2 λ/4 0.707 1.4 A 3π/4 3λ/8 0.383 0.8 A 5π/6 5λ/12 0.259 0.5 A φ λ cos φ 2 Intermediate Interference ) sin( 2 cos 2 2 1 Φ + - = + = wt kx A y y y R φ λ λ π φ = 2 Amp Amplitude
PHYS 2101 EX1: What should the phase difference be between two waves of equal amplitude that are both traveling in the negative direction for the amplitude of the resultant wave to be the same as the amplitude of the two original waves? What is the shortest distance that one wave has traveled further than the other? Spring 2011

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PHYS 2101 CT1: For two waves, which of the following are possible phase differences for constructive interference? 1 - 2 - 3 - 4 - 5 - 6 - π 2 2 π 3 3 π 4 π 3 π 2 2 π Spring 2011
PHYS 2101 CT1: For two waves, which of the following are possible phase differences for destructive interference? 1 - 2 - 3 - 4 - 5 - 6 - π 2 2 π 3 3 π 4 π 3 π 2 2 π Spring 2011

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PHYS 2101 CT2: For two waves, which of the following are possible extra path lengths for constructive interference? 1 - 2 - 3 - 4 - 5 - 6 - 1 2 λ 2 3 λ 3 4 λ λ 3 2 λ 2 λ Spring 2011
PHYS 2101 CT2: For two waves, which of the following are possible extra path lengths for destructive interference? 1 - 2 - 3 - 4 - 5 - 6 - 1 2 λ 2 3 λ 3 4 λ λ 3 2 λ 2 λ Spring 2011

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PHYS 2101 CT3: Two waves with equal periods and wavelengths travel to the right along a string. There are four possible phase differences between the two waves in terms of wavelength: λ 1 = 0.20 λ λ 2 = 0.45 λ λ 3 = 0.60 λ λ 4 = 0.80 λ Rank the phase differences in terms of the resulting amplitude of the combined wave, greatest to least.
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lecture17_tth_2101_S11 - PHYS 2101 Spring 2011 I...

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