Question

Two narrow slits are 0.12 mm apart. Light of wavelength 550 nm illuminates the slits, causing an interference pattern on a screen 1.0 m away. Light from each slit travels to the m = 1 maximum on the right side of the central maximum. How much farther did the light from the left slit travel than the light from the right slit?

Solution

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Answered 1 year ago
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If we denote the angle at which the m=1m=1 fringe is found as θ1\theta_1, we can write the difference in the paths taken by the light δ\delta as

δ=dsinθ1\begin{align*} \delta=d\sin\theta_1 \tag{1} \end{align*}

where dd is the distance between the slits.

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