6.20 What is the frequency of radiation whose wavelength is 0.86 nm? What is the wavelength of radiation that has a frequency of 6.4×1011s−1? Would the radiations in part (a) or part (b) be detected by an X-ray detector? What distance does electromagnetic radiation travel in 0.38 ps?

Respuesta :

Answer:

Explanation:

wavelength, λ = 0.86 nm = 0.86 x 106-9 m

velocity of electromagnetic radiation is same as the speed of light

v = 3 x 10^8 m/s

Let the frequency is f.

The relation between the wave velocity, wavelength and frequency.

v = f x λ

[tex]3 \times 10^{8}= f \times 0.86 \times 10^{-9}[/tex]

[tex]f=3.488 \times 10^{14}Hz[/tex]

The another radiation has frequency, f = 6.4 x 10^11 hz

Let the wavelength is λ.

The relation between frequency, wavelength and the velocity is given by

v = f x λ

[tex]3\times 10^{8}=6.4 \times 10^{11}\times \lambda[/tex]

λ = 4.6875 x 10^-4 m = 0.46875 mm

The range of frequency for the X rays lies between 10^16 Hz to 10^19 Hz.

The above radiations do not lie between this range so they are not detected by the X ray detector.

The distance traveled by the radiation in the time is d .

distance = speed x time

d = 3 x 10^8 x 0.38 x 10^-12 = 1.14 x 10^-4 m

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