QuestionAugust 1, 2025

What is the wavelength in meters for an X -ray with a frequency of 1.0times 10^19 Hz? Give your answer in proper scientific notation. [?]times 10^[?] m c=3.0times 10^8m/s Enter the coefficient in the green box and the exponent in the yellow box.

What is the wavelength in meters for an X -ray with a frequency of 1.0times 10^19 Hz? Give your answer in proper scientific notation. [?]times 10^[?] m c=3.0times 10^8m/s Enter the coefficient in the green box and the exponent in the yellow box.
What is the wavelength in meters
for an X -ray with a frequency
of 1.0times 10^19 Hz?
Give your answer in proper scientific notation.
[?]times 10^[?] m
c=3.0times 10^8m/s
Enter the coefficient in the green box and the
exponent in the yellow box.

Solution
3.4(256 votes)

Answer

3.0 \times 10^{-11} m Explanation 1. Use the wave equation The relationship between wavelength (\lambda), frequency (f), and speed of light (c) is given by **\lambda = \frac{c}{f}**. 2. Substitute values Substitute c = 3.0 \times 10^8 \, \text{m/s} and f = 1.0 \times 10^{19} \, \text{Hz} into the formula: \lambda = \frac{3.0 \times 10^8}{1.0 \times 10^{19}}. 3. Calculate the wavelength Perform the division: \lambda = 3.0 \times 10^{-11} m.

Explanation

1. Use the wave equation<br /> The relationship between wavelength ($\lambda$), frequency ($f$), and speed of light ($c$) is given by **$\lambda = \frac{c}{f}$**.<br /><br />2. Substitute values<br /> Substitute $c = 3.0 \times 10^8 \, \text{m/s}$ and $f = 1.0 \times 10^{19} \, \text{Hz}$ into the formula: $\lambda = \frac{3.0 \times 10^8}{1.0 \times 10^{19}}$.<br /><br />3. Calculate the wavelength<br /> Perform the division: $\lambda = 3.0 \times 10^{-11}$ m.
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