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Calculate the minimum thickness of a soa...

Calculate the minimum thickness of a soap bubble film `(mu=1.33)`that results in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is `lambda=600nm`.

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To calculate the minimum thickness of a soap bubble film that results in constructive interference in the reflected light, we can follow these steps: ### Step 1: Understand the condition for constructive interference For constructive interference in a thin film, the condition is given by the formula: \[ 2 \mu t = (n - \frac{1}{2}) \lambda \] where: - \( \mu \) is the refractive index of the film, - \( t \) is the thickness of the film, ...
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An oil film covers the surface of a small pond. The refractive index of the oil is greater than that of water. At one point on the film, the film has the smallest non-zero thickness for which there will be destructive interference in the reflected light when infrared radiation with wavelength 800 nm is incident normal to the film. When this film is viewed at normal incidence at this same point, for what visible wavelengths, if any, will there be constructive interference? (Visible light has wavelengths between 400nm and 700 nm )

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Knowledge Check

  • What is the minimum thickness of a thin film (mu=1.2) that results in constructive interference in the reflected light? If the film is illuminated with light whose wavelength in free space is lambda=500nm ?

    A
    104 nm
    B
    200 nm
    C
    300 nm
    D
    400 nm

  • What is the minimum thickness of a soap bubble needed for constructive interference in reflected light if the light incident on the film has wavelengths 900 nm ? Assume the refractive index for the film is mu = 1.5

    A
    `100 nm`
    B
    `150 nm`
    C
    `200 nm`
    D
    `250nm`

  • What is the minimum thickness of a soap bubble needed for constructive interference in reflected light, if the light incident on the film is 750 nm? Assume that the refractive index for the film is n=1.33

    A
    282 nm
    B
    `70.5 nm`
    C
    141 nm
    D
    387 nm

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    Refractive index of a thin soap film of a uniform thickness is 1.34. Find the smallest thickness of the film that gives in interference maximum in the reflected light when light of wavelength 5360 Å fall at normal incidence.

    If the wavelength of incident light on a soap film is 700 nm then its minimum thickness 10 t nm so that constructive interference in reflected light can be observed. The value of t is ………..[Take refractive index of the film as 4/3 ]

    White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.65 for the thin film, and 1.50 for the bottom material. The film thickness is 5.00 xx 10^(-7) m. Of the visible wavelengths (400 nm to 700 nm) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?

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