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Question

You want to photograph a circular diffraction pattern whose central maximum has a diameter of $d=0.90~\text{cm}$. You have a helium-neon laser (l$\lambda=633~\text{nm}$) and a $d_p=0.13~\text{mm}$ diameter pinhole. How far behind the pinhole should you place the viewing screen?

Solution

VerifiedAnswered 5 months ago

Answered 5 months ago

Step 1

1 of 3To find how far we need to put the pinhole we need to use this equation:

$y=D\frac{m\lambda}{d}$

This is the equation of the width of the pinhole or we can say the pinhole diameter $y$ for the central maximum where $m=2.44$.

From the equation for $y$ we need to express $D$ and calculate it, where first we will move $d$ to the right side of the equation:

$yd=Dm\lambda$

From here $d$ is equal to:

$\begin{align} D=\frac{yd}{m\lambda} \end{align}$

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