Problem 14-10 Double Slit
A laser beam with light of wavelength \(638.2\; nm\) is used to check a manufacturer's claim that a double slit has a separation of \(0.200\; mm.\) The distance to the screen is \(3.00\; m\) and the measured distance from the central maximum to the middle of the fourth minimum is \(33.2 \;mm.\) What is the measured slit separation?
[Ans. \(0.202 \;mm\)]
As usual we start with a good diagram. Which data set is correct?
| Solution | \(d\) | \(x\) | \(N\) | \(L\) |
|---|---|---|---|---|
| (A) | \(2.00 \times10^{-3} \; m\) | ? | \(4\) | \(3 \;m\) |
| (B) | ? | \(33.2 \times 10^{-3} \; m\) | \(4\) | \(3 \;m\) |
| (C) | ? | \(2.00 \times 10^{-3} \; m\) | \(4\) | \(3 \;m\) |
| (D) | \(33.2 \times 10^{-3} \; m\) | ? | \(4\) | \(3 \;m\) |
