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Chapter 14: Problem 2

Red light has a longer wavelength than blue light. Compare their frequencies.

Short Answer

Expert verified
Red light has a lower frequency than blue light.

Step by step solution

01

Understand the relationship between wavelength and frequency

The relationship between wavelength and frequency in wave mechanics is given by the formula \( \nu = \frac{c}{\lambda} \), where \( \nu \) is the frequency, \( c \) is the speed of light, and \( \lambda \) is the wavelength. It's observed from the formula that wavelength and frequency have an inverse relationship: as wavelength increases, frequency decreases, and vice versa.
02

Apply the relationship to the exercise

Given that red light has a longer wavelength (\( \lambda \)) than blue light, by applying the formula from step 1, it is therefore deduced that red light must also have a lower frequency (\( \nu \)) than blue light, due to the inverse relationship between wavelength and frequency.

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