A light wave has a frequency of 3.86 x 1014 cycles per second. (a) What is the wavelength? X 10-7 m

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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Question
A light wave has a frequency of \(3.86 \times 10^{14}\) cycles per second.

(a) What is the wavelength?

\[\text{_____} \times 10^{-7} \, \text{m}\]

Explanation: This question asks for the wavelength of a light wave given its frequency. The answer will have the form \(x \times 10^{-7} \, \text{meters}\), where \(x\) is the number to be determined. To find the wavelength, you can use the formula:

\[
\text{Wavelength} (\lambda) = \frac{\text{Speed of Light} (c)}{\text{Frequency} (f)}
\]

where the speed of light \(c\) is approximately \(3.00 \times 10^8 \, \text{m/s}\).
Transcribed Image Text:A light wave has a frequency of \(3.86 \times 10^{14}\) cycles per second. (a) What is the wavelength? \[\text{_____} \times 10^{-7} \, \text{m}\] Explanation: This question asks for the wavelength of a light wave given its frequency. The answer will have the form \(x \times 10^{-7} \, \text{meters}\), where \(x\) is the number to be determined. To find the wavelength, you can use the formula: \[ \text{Wavelength} (\lambda) = \frac{\text{Speed of Light} (c)}{\text{Frequency} (f)} \] where the speed of light \(c\) is approximately \(3.00 \times 10^8 \, \text{m/s}\).
Expert Solution
Step 1: FORMULA

wavelength (λ) = speed of light (c) / frequency (f)

The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).

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