QuestionAugust 5, 2025

If you wish to detect details of the size of atoms (about 1times 10^-10m) with electromagnetic radiation, it must have a wavelength of about this size. a. What is its frequency? square Hz b. What type of electromagnetic radiation might this be?

If you wish to detect details of the size of atoms (about 1times 10^-10m) with electromagnetic radiation, it must have a wavelength of about this size. a. What is its frequency? square Hz b. What type of electromagnetic radiation might this be?
If you wish to detect details of the size of atoms (about 1times 10^-10m) with electromagnetic radiation, it
must have a wavelength of about this size.
a. What is its frequency?
square  Hz
b. What type of electromagnetic radiation might this be?

Solution
4.6(205 votes)

Answer

a. 3 \times 10^{18} \, \text{Hz} ### b. X-rays Explanation 1. Calculate the frequency Use the formula **c = \lambda \cdot f**, where c = 3 \times 10^8 \, \text{m/s} is the speed of light, \lambda = 1 \times 10^{-10} \, \text{m} is the wavelength. Solve for frequency f: \[ f = \frac{c}{\lambda} = \frac{3 \times 10^8}{1 \times 10^{-10}} = 3 \times 10^{18} \, \text{Hz} \] 2. Identify the type of electromagnetic radiation A wavelength of 1 \times 10^{-10} \, \text{m} corresponds to X-rays in the electromagnetic spectrum.

Explanation

1. Calculate the frequency<br /> Use the formula **$c = \lambda \cdot f$**, where $c = 3 \times 10^8 \, \text{m/s}$ is the speed of light, $\lambda = 1 \times 10^{-10} \, \text{m}$ is the wavelength. Solve for frequency $f$: <br />\[ f = \frac{c}{\lambda} = \frac{3 \times 10^8}{1 \times 10^{-10}} = 3 \times 10^{18} \, \text{Hz} \]<br /><br />2. Identify the type of electromagnetic radiation<br /> A wavelength of $1 \times 10^{-10} \, \text{m}$ corresponds to X-rays in the electromagnetic spectrum.
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