Chapter 24, Problem 11P

To determine

The distance between adjacent bright fringes on a screen $5.0m$ from the slits.

Answer to Problem 11P

  $0.0027m$

Explanation of Solution

Given info:

Distance from slits to the screen,  $L=5m$

Wavelength, $\lambda =544nm=544\times {10}^{-9}m$ ,

Order,  $m=1$

The distance between the fringes,   $d=1.00mm=0.001m$

Formula used:

  $d=\frac{m\lambda L}{y}$

  $m$ is an integer

  $\lambda$ is wavelength

  $L$ is distance from slits to the screen.

  $d$ is a distance between slits

  $y$ is the distance between the fringes 

Calculation:

Rearrange the formula, $d=\frac{m\lambda L}{y}$ .

So, $y=\frac{m\lambda L}{d}$

  $y=\frac{\left(1\right)\left(5\right)\left(544\times {10}^{-9}\right)}{0.001}=0.0027m$

Conclusion: The distance between adjacent bright fringes on a screen $5.0m$ from the slits is $0.0027m$ .