InterferenceQPs

# InterferenceQPs - Question/Problems 1.Two microwave...

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Question/Problems 1 .Two microwave emitters are sitting side by side, both emitting the same wavelength microwaves. The wavelength of these microwaves is known to be between 2.0 cm and 3.0 cm. As you move a detector around in front of them, you find that when the detector is an equal distance from each emitter, the detector reading is a minimum . You also note that when you are 3.75 cm closer to one emitter than the other, the detector reads a maximum . (a) What is the phase relationship between the microwaves coming from the two emitters? Explain how you determined this. (b) What is the frequency of the microwaves coming from the two emitters? 2 . The first order maximum caused by a double slit illuminated with light of wavelength 645 nm is found at some spot on a screen. The light source is changed to a new wavelength which places its second order ( m =2) maxima at the same spot where the 645 nm first order maxima used to lie. (a) What is the wavelength of the new light source? (b) Is this wavelength in the visible range? 3 . Radio station KPHY uses two antennae to transmit its signal at an AM frequency of 1,520 kHz. While driving by on a semi-circular road around these antennae, you notice that there is only one location where the signal from both antennae is totally destructive. At this location (X), you are 94.0 m from antenna 1, and 163 m from antenna 2. (a) Explain your reasoning in how you would know that the radio waves from antenna 1 are not completely in phase ( i.e., ! 1 " ! 2 ) with the radio waves from antenna 2. (b) Find the difference in the constant phase Δφ (in radians) between antenna 1 and antenna 2. 4. Recall that sounds less than 20 Hz in frequency are subsonic; that is, we cannot perceive these frequencies as the subjective experience of pitch. Explain just how it is possible, then, that we were able to detect beat frequencies of less than 20 Hz in DL. 5. Explain why you are not allowed to superpose two waves that have different wave velocities. 6. Explain in words that a non-physics student would understand why a light source shining through a double slit of the proper separation causes an alternating pattern of bright and dark lines on the wall. antenna 2 antenna 1 (X) road L = 94.0m 1 = 163.0m 2

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7 . Microwaves of wavelength λ = 1.5 cm are incident on a double slit apparatus with a slit separation distance of 6.0 cm. (a) What is the separation (in mm) of neighboring interference maxima on a screen 1.0 m away from the slits? (b) Discuss what parameters could be changes to move the maxima angles farther apart from each other. 8 . Explain why it is that you sound so much better in the shower when you sing only certain notes. Take a shower and try this out if you not already guilty of this. Calculate the lowest frequency that will sound "nice" in your shower (assuming that it is enclosed on all sides). 9
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InterferenceQPs - Question/Problems 1.Two microwave...

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