Answered: Find the angular position of the…

Find the angular position of the second-order bright fringe in a double-slit system whose slit spacing is 1.5um for a violet light at 410 mm.

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Question

Find the angular position of the second-order bright fringe in a double-slit system whose slit spacing is 1.5um for a violet light at 410
nm.

Expert Solution

Concept and Principle:

two light waves are capable of interfering with each other. In a double-slit system, a single light wave is split into two waves and the interference pattern is created.

When interference occurs, the final intensity might increase or decrease based on the path difference between the interfering waves.

When final intensity is increased it is called constructive interference. The condition for constructive interference is given by,

$d s i n θ = m λ$

Here d is the slit width, θ is the angular position, m is the order of the fringe, and λ is the wavelength.

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