42. || Because sound is a wave, it's possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 10 kHz sound waves pass through such a grating, listeners 10 m from the grating report “loud spots" 1.4 m on both sides of center. What is the spacing between the slits? Use 340 m/s for the speed of sound.
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- Interference Problem 7: Light of wavelength λ = 440 nm is incident upon two thin slits that are separated by a distance d = 45 μm. The light hits a screen L = 2.3 m from the screen. It is observed that at a point y = 3.9 mm from the central maximum the intensity of the light is I = 95 W/m2. Part (c) What is the intensity of the light at the two slits (I0) in watts per square meter?32. Light of wavelength 630 nm is incident on a long, narrow slit. Determine the angular deflection of the first diffraction minimum if the slit width is (a) 0.020 mm, (b) 0.20 mm, and (c) 2.0 mm.In a location where the speed of sound is 354 m/s, a 2070 Hz sound wave impinges on two slits 27 cm apart. If the sound wave is replaced by 5.00cm microwaves, what slit separation gives the same angle for thefirst maximum? 10.17 cm 8.84 cm 7.89 cm 3.03 cm
- 5. In a location where the speed of sound is 354 m/s, a 2 000-Hz sound wave impinges on two slits 30.0 cm apart. (a) At what angle is the first maximum located? (b) If the sound wave is replaced by 3.00-cm micro- waves, what slit separation gives the same angle for the first maximum? (c) If the slit separation is 1.00 µm, what frequency of light gives the same first maximum angle?Suppose light with wavelength 540 nm has parallel wavefronts incident on two slits that are both 0.36 mm wide, and separated by 0.5 mm. A screen is placed 1.2 m from the slit. The intensity at the optical axis is 5 mW. What is the distance from the optical axis to the second minimum on the screen in mm?Light of wavelength A = 545 nm passes through a pair of slits that are 33 um wide and 215 µm apart. How many bright interference fringes are there in the central diffraction maximum? How many bright interference fringes are there in the whole pattern? |
- 2)A new experiment is created with the screen at a distance of 1.9 m from the slits (with spacing 0.09 mm). What is the distance between the second order bright fringe of light with λ = 681 nm and the third order bright fringe of light with λ = 414 nm? (Give the absolute value of the smallest possible distance between these two fringes: the distance between bright fringes on the same side of the central bright fringe.) |x| =In a location where the speed of sound is 354 m/s, a 1,770-Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first maximum located?22.9º 27º 34.6º 41.8º (b) If the sound wave is replaced by 5.00-cm microwaves, what slit separation gives the same angle for the first maximum? 7.5 cm 8.33 cm 9.32 cm 11.1 cm (c) If the slit separation is 1.00 mm, what frequency of light gives the same first maximum angle? 4.500 x 1014 Hz 5.760 x 1014 Hz 6.509 x 1014 Hz 7.290 x 1014 Hz3. In a double slit experiment, the distance between the slits is d=1 mm. A screen is situated at a distance of 2.5 m from the slits. Point P is at a distance of 25 cm from O', as in Figure. O' is the orthogonal projection of the center between the slits (0) on the screen. Monochromatic light with frequency v= 550 THz is used in this experiment. (a) Calculate the intensity of light at point P. (b) Calculate the angle ZP00'. (c) Calculate the location of the first three maxima with respect to point O'. (d) Calculate the location of the first three minima with respect to point O'. BONUS: You now consider that each slit has width a =0.05 mm. Calculate the intensity of light at point P. P.