Figure 27.56 shows a double slit located a distance x from

QUESTION:

Figure 27.56 shows a double slit located a distance \(x\) from a screen, with the distance from the center of the screen given by \(y\) When the distance \(d\) between the slits is relatively large, there will be numerous bright spots, called fringes. Show that, for small angles (where \(\sin \theta \approx \theta\) with \(\theta\) in radians), the distance between fringes is given by  \(\Delta y=x \lambda / d\).

Figure 27.56 The distance between adjacent fringes is \(\Delta y=x \lambda / d\) assuming the

slit separation \(d\) is large compared with \(\lambda\).

Equation Transcription:

Text Transcription:

x

y

d

sin theta approx theta

theta

Delta y=x lambda/d

Delta y=x lambda/d

d