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- The 305-m-diameter Arecibo radio telescope pictured in Figure 4.20 detects radio waves with a 4.00-cm average wavelength. (a) What is the angle between two just-resolvable point sources for this telescope? (b) How close together could these point sources be at the 2 million light-year distance of the Andromeda Galaxy? Figure 4.20 A 305-m-diameter paraboloid at Arecibo in Puerto Rico is lined with reflective material, making it into a radio telescope. It is the largest curved focusing dish in the world. Although D for Arecibo is much larger than for the Hubble Telescope, it detects radiation of a much longer wavelength and its diffraction limit is significantly poorer than Hubble’s. The Arecibo telescope is still very useful, because important information is carried by radio waves that is not carried by visible light. (credit: Jeff Hitchcock)For the given boundary, what is the angle between the incident and reflected wave ? ee Boundary incident wave O a. O radian O b. TT radian Ос. TT radian O d. 2T radianIncident beam A-- da B-- SQ + QT %D (3.19) dnki sin 0 + dki sin 0 (3.20) = 2dnkl sin 0 H.W. Derive equation 3.20 (Bragg’s Law) from equation 3.19 using trigonometry formulas. 19
- ellow light has a wavelength l = 590 nm. How many of thesewaves would span the 1.35-mm thickness of a dime?For the given boundary, what is the angle between the incident and reflected wave ? free Boundary incident wave O a. O radian Ob. radian O . 2n radian O d. Tt radian5. If the quality factor of the Nd: YAG (1.064 um) laser is (Q=1.85x10) with a length resonator (Im), Calculate the number of longitudinal patterns in the emission line? Solv..:
- Visible light. The range of visible light extends from 400 nm to 700 nm. What is the range of visible frequencies of light? Give a maximum and minimum answer.An infrared lamp has a wavelengh of 1230 nm. Solve for the frequency of the lamp if the speed of light is 3X108m/s. ans: 2.44X1014 Hz A UV light has a frequency of 8X1014Hz. solve for the wavelengh of the lamp if the speed of light is 3X108m/s. ans: 375nm Show WorkDetermine the frequency of … (GIVEN: 1 m = 109 nm)a. … red visible light (λ = 650 nm)b. … violet visible light (λ = 420 nm)
- Perform the indicated operations for the following measured values: c. 1.1000 nm + 2.005 nm + 276.30 nm = d. 24.07 × 108 m/s divided by 8.05 s =1. O -12 points SerPSE9 38.P.001.MI.FB. My Notes O Ask Your Teacher Light of wavelength 588.0 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Read It Master It 2. O -11 points SerPSE9 38.P.005. My Notes + Ask Your Teacher Coherent microwaves of wavelength 5.00 cm enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window? cm Need Help? Read It 3. -/1 points SerPSE9 38.P.007.MI.FB. My Notes Ask Your Teacher A screen is placed 60.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. If the distance between the first and third minima in the diffraction pattern is 3.10 mm, what is the width of…Tmax Amin = 380nm = 380x1 & min=- M 1 max: 700hm - 700x 10-9. f max= 300×10= 1.895 3x108 = 4.286x Amin 700x10 V=N 1 Frequency range: 4.286 x 1014 -7.895x1014 f = * 듯 3. One type of radar works by sending a pulse out to and object and timing how long it takes for the pulse to return after bouncing off of the object. If the radar is tracking a plane 100 km away, how long does it take from the time the pulse leaves the radar to the time it returns? 16X374 + 3.33x10 4. Radar antenna tend to be of comparable size to their wavelength. The radiation used by radar ranges from 300 Mhz to 15 Ghz. a. What is the range of wavelengths? b. If the antenna dimensions are comparable to the wavelength of the radiation used, what will be the approximate size range of antenna used for radar? 3 =