Question:

In the electromagnetic spectrum, ν1​, ν2​, and ν3​ respectively denote the frequencies of microwaves, ultraviolet waves, and gamma-rays. We can conclude that:

Updated On: Mar 27, 2025
  • \(\quad \nu_1 > \nu_2 > \nu_3 \\\)
  • \(\quad \nu_1 < \nu_2 < \nu_3 \\\)
  • \(\quad \nu_2 > \nu_1 > \nu_3 \\\)
  • \(\quad \nu_3 < \nu_1 < \nu_2\)
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The Correct Option is B

Approach Solution - 1

The electromagnetic spectrum is ordered by frequency (and inversely by wavelength). The order from lowest to highest frequency is:

  1. Radio waves
  2. Microwaves
  3. Infrared
  4. Visible light
  5. Ultraviolet
  6. X-rays
  7. Gamma rays

Therefore, we can arrange the given frequencies in ascending order:

\( \nu_1 < \nu_2 < \nu_3 \\ \text{microwaves} < \text{ultraviolet} < \text{gamma-rays} \)

Answer: \( \nu_1 < \nu_2 < \nu_3 \)

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Approach Solution -2

In the electromagnetic spectrum, the frequency increases as we move from mi crowaves to ultraviolet waves to gamma rays. Therefore, the correct order of frequencies is:
\(\quad \nu_1 < \nu_2 < \nu_3 \\\)
where:- ν1 corresponds to microwaves (lower frequency), ν2 corresponds to ultraviolet waves (medium frequency), ν3 corresponds to gamma rays (highest frequency).
Thus, the correct relationship is:
\(\quad \nu_1 < \nu_2 < \nu_3 \\\)
which corresponds to Option (2).
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