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29 December, 17:06

A monochromatic light wave in vacuum has frequency f0 and wavelength λ0. Which of the following are also possible frequency and wavelength combinations for a monochromatic light wave in vacuum?

None of the above

2f0, λ0/2

f0/2, λ0/2

2f0, 2λ0

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Answers (1)
  1. 29 December, 17:34
    0
    Option 2: 2f0 and λ0/2

    Explanation:

    The relationship between frequency and wavelength of a wave is given by

    f0 = c/λ0

    Where f0 is the frequency, λ0 is the wavelength and c is the speed of light assuming the speed of light remains constant so the relationship becomes

    f0 = 1/λ0

    As you can see they have a inverse relationship and we can prove mathematically that option 2 is correct

    f0 = 1/λ0

    Multiply both sides by 2

    2f0 = 2/λ0

    which can also be written as

    2f0 = 1/λ0/2

    So the combination is (2f0 and λ0/2)

    similarly, divide both sides by 2

    λ0/2 = 1/2f0

    So the combination is (λ0/2 and 2f0)

    Therefore, option 2 is correct if frequency is 2f0 then corresponding wavelength would be λ0/2
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