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What. Is the expression for fringe …

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What. Is the expression for fringe width.

    • Posted by Hamid Hurra 5 years, 4 months ago

    CBSE > Class 12 > Physics
    • 1 answers

    Yogita Ingle 5 years, 4 months ago

    Fringe width:-

    1. Fringe width is the distance between consecutive dark and bright fringes.
    2. It is denoted by ‘β’.
    3. In case of constructive interference fringe width remains constant throughout.
    4. It is also known as linear fringe width.

    Angular Fringe width:-

    1. It is the angle subtended by a dark or bright fringe at the centre of the 2 slits.
    2. It is denoted by ‘θ’.
    • Mathematical Expression for fringe width(β):-
      • xn =((nλD)/d)
      • xn+1 =(((n+1)λD)/d)
      • β =xn+1 - xn
      • =(((n+1) λD)/d) – ((nλD)/d)
      • =>β = (λD/d)
      • Therefore fringe width depends on:-
        • (λ)Wavelength of the light used, (D) distance of the screen from the slits and (d) distance between two slits.
      • Mathematical Expression forangular fringe width(θ):-
        • θ =(β/D)
        • θ = (λD)/(d D)
        • θ = (λ/d)

    0Thank You

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