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Tanya [424]
4 years ago
5

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a 19) pair of slits separated by 2.20 x 10-5

m. (a) What is the angle corresponding to the first bright fringe? (b) What is the angle corresponding to the second dark fringe?
Physics
1 answer:
kumpel [21]4 years ago
4 0

Explanation:

It is given that,

Wavelength of monochromatic light, \lambda=600\ nm=6\times 10^{-7}\ m

Slits separation, d=2.2\times 10^{-5}\ m

(a) We need to find the angle corresponding to the first bright fringe. For bright fringe the equation is given as :

d\ sin\theta=n\lambda, n = 1

\theta=sin^{-1}(\dfrac{\lambda}{d})

\theta=sin^{-1}(\dfrac{6\times 10^{-7}}{2.2\times 10^{-5}})

\theta=1.56^{\circ}

(b) We need to find the angle corresponding to the second dark fringe, n = 1

So, d\ sin\theta=(n+\dfrac{1}{2})\lambda

sin\theta=\dfrac{3\lambda}{2d}

\theta=sin^{-1}(\dfrac{3\lambda}{2d})

\theta=sin^{-1}(\dfrac{3\times 6\times 10^{-7}}{2\times 2.2\times 10^{-5}})

\theta=2.34^{\circ}

Hence, this is the required solution.

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