If the wavelength of a light wave is doubled, what happens to its frequency? (20

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Question: If the wavelength of a light wave is doubled, what happens to its frequency? (2020)

Options:

Correct Answer: Halves

Exam Year: 2020

Solution:

Frequency (f) is inversely proportional to wavelength (λ). If λ is doubled, f is halved.

If the wavelength of a light wave is doubled, what happens to its frequency? (2020)

If the wavelength of a light wave is doubled, what happens to its frequency? (2020)

Step 1: Understand that frequency (f) and wavelength (λ) are related in a light wave.
Step 2: Remember the formula that connects frequency and wavelength: f = c / λ, where c is the speed of light.
Step 3: If the wavelength (λ) is doubled, it means λ becomes 2λ.
Step 4: Substitute the new wavelength into the formula: f = c / (2λ).
Step 5: Notice that this means the new frequency (f') is f' = c / (2λ) = (1/2) * (c / λ) = (1/2) * f.
Step 6: Conclude that if the wavelength is doubled, the frequency is halved.

Wave Properties – The relationship between wavelength and frequency, described by the equation f = c/λ, where c is the speed of light.