9. Please show all necessary steps. A.) A clarinet player hears six beats per se

Question

9. Please show all necessary steps.

A.) A clarinet player hears six beats per second when he plays an “A” note along with a 440 Hz tuning fork. He can match the frequency of the tuning fork by slightly decreasing the length of the barrel of the clarinet. What was the initial frequency of the clarinet?

B.)A double slit forms a diffraction pattern with monochromatic 410 nm light in air so that the fringes observed on the screen are 1.9 mm apart. If the same experiment were performed underwater (nwater = 1.33) with the same slit and screen, how far apart would the fringes be?

C.)A single 0.32mm wide slit is illuminated by monochromatic light of wavelength 660 nm. What is the width of the central maximum on a screen located 1.8 m behind the slit?

D.)A 15 keV x-ray beam is incident onto a single crystal that has a spacing of 0.15 nm between each atomic plane. At what angle would the 2nd order diffraction peak occur?  

Explanation / Answer

According to the chegg guidelines I am allowed to answer only 1 question at a time...Please post other question again on Q-A board.I am solving question C)

C) Width = 0.32 mm wavelength = 660 nm d = 1.80 m

y = 2 * d * wavelength / width = 2 * 1.80 * 660 * 10 ^ -9 / 0.32 * 10 ^ -3

y = 7.425 mm or 7.425 * 10^ -3 m ====================ANSWER)

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