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Math Help - Fringe pattern of a sodium lamp

  1. #1
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    Fringe pattern of a sodium lamp

    1. The problem statement, all variables and given/known data
    Hi
    Please, what fringe pattern would be obtained with a sodium vapour lamp?

    2. Relevant equations

    3. The attempt at a solution
    I am guessing that a dominant yellow colour would be obtained. The sodium is almost acting like a monochromatic light and therefore has a particular wavelength. But I am not sure how correct my answer is. Also, what will the sketch look like? Please comment
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by gbenguse78 View Post
    1. The problem statement, all variables and given/known data
    Hi
    Please, what fringe pattern would be obtained with a sodium vapour lamp?

    2. Relevant equations

    3. The attempt at a solution
    I am guessing that a dominant yellow colour would be obtained. The sodium is almost acting like a monochromatic light and therefore has a particular wavelength. But I am not sure how correct my answer is. Also, what will the sketch look like? Please comment
    There must be more to this than what you have posted, we need the context to determine what fringes you are talking about.

    Sodium light is for most purposes monochromatic as you say.

    CB
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  3. #3
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    The full question is: Sketch an arrangement that may be used to observe the fringe pattern when light from a narrow slight slit illuminated by a sodium vapour lamp is passed through a pair of double slits.
    Describe the fringe pattern you would expect to observe.

    Does this help?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by gbenguse78 View Post
    The full question is: Sketch an arrangement that may be used to observe the fringe pattern when light from a narrow slight slit illuminated by a sodium vapour lamp is passed through a pair of double slits.
    Describe the fringe pattern you would expect to observe.

    Does this help?
    Yes, it is asking for the two slit fringe pattern.

    The fringes occur in those directions for which the light from the slits is in phase.

    Draw a diagram, then to be in phase in a direction \theta_n requires that the triangle shown in the diagram is a right triangle.

    CB
    Attached Thumbnails Attached Thumbnails Fringe pattern of a sodium lamp-diffraction.jpg  
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  5. #5
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    Thanks. So the angle theta is adjacent to d?
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by gbenguse78 View Post
    Thanks. So the angle theta is adjacent to d?
    Yes

    CB
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  7. #7
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    Thanks a lot. Got my exam by 1pm today.
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