A plane electromagnetic wave travels in vacuum along z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?

Given, 
Plane EM wave travels in vacuum along z-direction. 
Frequency of the wave = 30 MHz 

E and B lie in x-y plane and are mutually perpendicular. 

Since, C =  we have, 
Wavelength of the EM wave, 

       λ = cv = 3 × 10830 × 106 = 10 m.
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The amplitude of the magnetic field part of a harmonic electromagnetic wave in vacuum is B0 = 510 nT. What is the amplitude of the electric field part of the wave?

Given,
                Amplitude of magnetic field, B0 = 510 nT = 510 × 10-9T
Speed of EM wave, C = 3 × 108 m s-1 

For electromagnetic waves,
                     C = E0B0 

i.e.,               E0 = C B0 

                        = 3 × 108 ×510 × 10-9= 153 NC-1 

which is the required amplitude of electric field.        

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What physical quantity is the same for X-rays of wavelength 10-10 m, red light of wavelength 6800 Å  and radio waves of wavelength 500 m?


The physical quantity speed is same for X-ray, red light and radio waves in vacuum and is c = 3 × 108 ms-1.
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A radio can tune in to any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band?


Given, 
Frequency band of radio = 7.5 MHz - 12 MHz

 Wavelength, λ1 = cv1 = 3 × 1087.5 × 106 = 40 mWavelength, λ2 = cv2 = 3 × 10812 × 106 = 25 m 

Therefore, the corresponding wavelength band is 40 m - 25 m.

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A charged particle oscillates about its mean equilibrium position with a frequency of 109 Hz. What is the frequency of the electromagnetic waves produced by the oscillator?

The frequency of electromagnetic wave is the same as that of oscillating charged particle about its equilibrium position which is equal to 109 Hz.
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