One sometimes sees rows of evenly spaced radio antenna towers. A student remarked that these act like diffraction gratings. What did she mean? Why would one want them to act like a diffraction grating?
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- (11%) Problem 5: Consider the 100-MHz radio waves used in an MRI device. 33% Part (a) What is the wavelength, in meters, of these radio waves? A 33% Part (b) If the frequencies are swept over a +9.5 MHz range centered on 100 MHz, what is the minimum, in meters, of the range of wavelengths emitted? 33% Part (c) What is the maximum, in meters, of this wavelength range? Grade Summary Amax Deductions 0% Potential 100%Calculate the wavelengths of the following objects. A 75 kg athlete running a 3.0-minute mile: m Earth (mass = 6.0 ×× 1027 g) moving through space at 2.5×104 m/s: mThe table contains data obtained during the single-slit microwave experiment with a slit width of 7 cm and a wavelength of 2.8 cm. To compare data like this with theory in Sec. 8.5, you will have to normalize both the intensity and the angular data. What is the normalized intensity I/I_0 at 40∘?
- Prior to the switch to digital television broadcasting, and to the popularity of cable television, many homes had outdoor TV antennas. TV-reception antennas for VHF (channels 2 through 13) were constructed with cross wires supported at their centers, as shown in the figure below. The ideal length for the cross wires is one-half the wavelength to be received, with the more expensive antennas having one for each channel. Suppose you measure the lengths of the wires for channels 12 and 6 and find them to be 0.208 m and 0.958 m long, respectively. What is the frequency for channel 12?Hz What is the frequency for channel 6?Hz3. Electromagnetic waves from a radio station pass through an open window of a house. The square window has side length 0.75 m and the waves pass through perpendicular to the window's area. The electric field is measured at the window and found to be 0.02 V/m. In air, we can use the vacuum permeability = 4 x 10-7 H/m. (i) What is the magnitude of the Poynting vector, S, for the radio waves passing through the window? (ii) How much energy do the radio waves carry through the window during a 2-minute-long broadcast of BBC Radio 4's shipping forecast? [Hint: think of the units of S [units = (J/s)/m²] and Energy [units = J].TV-reception antennas for VHF are constructed with cross wires supported at their centers, as shown. The ideal length for the cross wires is one-half the wavelength to be received, with the more expensive antennas having one for each channel. Suppose you measure the lengths of the wires for particular channels and find them to be 1.94 and 0.753 m long, respectively. What are the frequencies for these channels?
- Information is stored on an audio compact disc, CD-ROM, or DVD disc in a series of pits on the disc. These pits are scanned by a laser beam. An important limitation on the amount of information that can be stored on such a disc is the width of the laser beam. Explain why this should be, and explain how using a shorter-wavelength laser allows more information to be stored on a disc of the same size.10² 106 Increasing frequency, f (Hz): 104 106 1 Radio waves (low f, longa) AM 104 10² Decreasing wavelength,λ (m) 108 FM TV 1 1010 Microwave Radar 10-2 10¹2 700 nm 10-4 1014 Infrared 10-6 600 nm 1016 Ultra- violet 10-8 Visible light 1018 X rays 10-10 500 nm 1020 1022 Gamma (y) waves (high f, short 2) 10-12 10-14 400 nm 1024PROBLEM 4: A transmitter is transmitting radio signal of 50 MHz with 100 kW output power. Find the field strength due to space wave at a distance of 100 km when the heights of transmitting and receiving antennas are 100 m and 36 m respectively. Assume that the field strength from the transmitting antenna is same as that of half wave antenna.
- At what angle will the microwave be completely polarized? explain ASAP?10² 106 Increasing frequency, f (Hz): 104 106 1 Radio waves (low f, longa) AM 104 10² Decreasing wavelength,λ (m) 108 FM TV 1 1010 Microwave Radar 10-2 10¹2 700 nm 10-4 1014 Infrared 10-6 600 nm 1016 Ultra- violet 10-8 Visible light 1018 X rays 10-10 500 nm 1020 1022 Gamma (y) waves (high f, short 2) 10-12 10-14 400 nm 10243. Calculate the polarization loss factor (PLF)...in db and dimensionless of an antenna whose electric field polarization is expressed as: E = (ax+ ay)E(r,0,0), when the electric field of the incident wave given by E, = ax E, (x, y)e-k=