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suter [353]
3 years ago
11

Light of wavelength 687 nm is incident on a single slit 0.75 mm wide. At what distance from the slit should a screen be placed i

f the second dark fringe in the diffraction pattern is to be 1.7 mm from the center of the diffraction pattern?
Physics
1 answer:
Simora [160]3 years ago
8 0

Answer:

L = 0.93 meter

Explanation:

As we know that the diffraction pattern will show the minimum on the screen at the position where it follows the equation

a sin\theta = N\lambda

here we know that for second fringe position we have

sin\theta = \frac{2\lambda}{a}

sin\theta = \frac{2(687 nm)}{0.75 mm}

sin\theta = 1.832 \times 10^{-3}

\theta = 0.105 degree

now we know that the position of minimum is given at 1.7 mm from the center

so we have

tan\theta = \frac{y}{L}

tan(0.105) = \frac{1.7\times 10^{-3}}{L}

L = 0.93 meter

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