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14) A wavelength of radiation has a frequency of 2.10 x 1014 Hz. What is the wavelength of this radiation in nm, and
determine the type of radiation.

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drpelezo

Answer:

λ = 1.43 x 10³ meters (radio waves)

Explanation:

c = f·λ => λ = c/f

λ = wavelength = ?

f = frequency = 2.10 x 10¹⁴ Hz = 2.10 x 10¹⁴ cycles/sec

c = speed of light (vacuum) = 3.0 x 10⁸m/sec

λ = c/f = 3.0 x 10⁸m/sec / 2.10 x 10¹⁴sec⁻¹ = 1.43 x 10³ meters (radio waves)

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Lanuel

The wavelength of this radiation in nm: is equal to 1430 nanometers.

Given the following data:

  • Frequency = [tex]2.10 \times 10^{14}[/tex] Hz

We know that the speed of a radiation is equal to [tex]3.0 \times 10^8[/tex] meters.

To determine the wavelength of this radiation in nm:

Mathematically, the wavelength of a waveform is calculated by using the formula;

[tex]\lambda = \frac{v}{f}[/tex]

Where:

  • f is the frequency of a wave.
  • v is the speed of light.

Substituting the given parameters into the formula, we have;

[tex]\lambda = \frac{3.0 \times 10^8}{2.10 \times 10^{14}} \\\\\lambda = 1.43\times 10^{-6} \;meters[/tex]

In nanometer:

[tex]\lambda = 1.43 \times 10^{-6} \times 10^{9} \\\\\lambda =1430\;meters[/tex]

Wavelength = 1430 nanometers.

On the electromagnetic spectrum, the type of radiation with a wavelength of 1430 nanometers is an infrared radiation.

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