(a)
The wavelength of the microwaves.
(a)
Answer to Problem 60AP
The wavelength of the microwaves is
Explanation of Solution
Write the expression for the wavelength of an
Here,
Conclusion:
Substitute
Therefore, the wavelength of the microwaves is
(b)
The total energy contained in each pulse.
(b)
Answer to Problem 60AP
The total energy contained in each pulse is
Explanation of Solution
Write the expression for the total energy contained in each pulse.
Here,
Conclusion:
Substitute
Therefore, the total energy contained in each pulse is
(c)
The average energy density in each pulse.
(c)
Answer to Problem 60AP
The average energy density in each pulse is
Explanation of Solution
Write the expression for the energy density of electromagnetic wave.
Here,
Write the expression for the volume.
Here,
Write the expression for the length travelled by wave.
Here,
Substitute
Conclusion:
Substitute,
Substitute,
Therefore, the average energy density in each pulse is
(d)
The amplitude of electric and magnetic fields associated with the wave.
(d)
Answer to Problem 60AP
The amplitude of the electric field is
Explanation of Solution
Write the expression for the amplitude of the electric field associated with electromagnetic wave.
Here,
Write the expression for the amplitude of the magnetic field associated with electromagnetic field.
Conclusion:
Substitute
Substitute
Therefore, The amplitude of the electric field is
(e)
The force exerted on the surface during the duration of the pulse.
(e)
Answer to Problem 60AP
The force exerted on the surface during the duration of the pulse is
Explanation of Solution
Write the expression for the force exerted on a surface.
Here,
Write the expression for the area.
Here,
Conclusion:
Substitute
Substitute
Therefore, the force exerted on the surface during the duration of the pulse is
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Chapter 34 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
- Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardTwo radio antennas separated by d = 3.00 102 cm. as shown in Figure P24.7, simultaneously broadcast identical signals at the same the signals. (a) If the car is at the position of the second maximum wavelength. A car travels due north along a straight line at position x = 1.00 103 m from the center point between the antennas and its radio receives the signal. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of y = 4.00 102 m northward, what is the wavelength of the signals? (b) How much farther must the car travel from thus position to encounter the next minimum in reception? Hint: Do not use the small-angle approximation in this problem.arrow_forwardFigure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively. Figure P24.69arrow_forward
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- A 5.0-mW laser beam has a circular cross section with a diameter of 0.50 mm. What is the maximum radiation pressure that this laser can exert on (a) a mirrored surface and (b) a black surface?arrow_forwardA totally reflecting disk has radius 8.00 mm and averagedensity 600 kg/m3. A laser has an average power output Pav spread uniformlyover a cylindrical beam of radius 2.00 mm. When the laser beamshines upward on the disk in a direction perpendicular to its flat surface,the radiation pressure produces a force equal to the weight of the disk.(a) What value of Pav is required? (b) What average laser power is requiredif the radius of the disk is doubled?arrow_forwardLight produced by a particular laser has a wavelength of 635 nm. What is its frequency? a. 4.72×1014 THz b. 4.72×1026 THz c. 4.72×105 Hz d. 472 THzarrow_forward
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