From b573aa6758d79c964257092b2069830fb46f5c7a Mon Sep 17 00:00:00 2001 From: Mars Ultor Date: Thu, 30 Jan 2025 00:50:44 -0600 Subject: [PATCH] double slit final equations --- content/physics/harmonic-motion.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/content/physics/harmonic-motion.md b/content/physics/harmonic-motion.md index 2a355df..13ba3da 100644 --- a/content/physics/harmonic-motion.md +++ b/content/physics/harmonic-motion.md @@ -514,4 +514,14 @@ Where: - $ D $ = distance from the slits to the screen - $ d $ = distance between the two slits +## Final equations +Time to combine everything together. We'll continue to use the variable definitions from above, but include $y_m$, or the distance between the center, $m=0$ and some bright fringe of order $m$. When calculating, it can also be assumed that (for small angles) $\sin\theta\approx\theta$. + +$$ +\box{d\sin\theta=m\lambda} +$$ + +$$ +\box{y_md=Dm\lambda} +$$