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Ahat [919]
3 years ago
14

When a monochromatic light of wavelength 433 nm incident on a double slit of slit separation 6 µm, there are 5 interference frin

ges in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.9 nm for the same double slit?
Physics
1 answer:
Bad White [126]3 years ago
4 0

Answer:

The number of interference fringes is  n =  3

Explanation:

From the question we are told that

     The wavelength is  \lambda =  433 \ nm  =  433 *10^{-9} \  m

      The distance of separation is  d =  6 \mu m  =  6 *10^{-6} \ m

       The  order of maxima is m =  5

       

The  condition for constructive interference is

       d sin \theta  =  n \lambda

=>     \theta  =  sin^{-1} [\frac{5  *  433 *10^{-9}}{ 6 *10^{-6}} ]

=>    \theta =  21.16^o

So at  

      \lambda_1  =  632.9 nm =  632.9*10^{-9} \ m

   6 * 10^{-6} * sin (21.16) =  n  *  632.9 *10^{-9}

=>    n =  3

   

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