Monochromatic light of 605 nm falls on a single slit of width 0.095 mm. The slit is located 85 cm from a screen. How far from the center is the first dark band?

Question

anonymous · Answer

$$y = ( m + 1/2) \lambda L/d$$

anonymous · Answer

Here... m=1 for first dark fringe..  L is the distance of the  screen from slit

anonymous · Answer

d is the width of the slit, and lambda is the wavelength.

anonymous · Answer

You can use the same equation as for two slids, which is $$\frac{\Delta x}{d}=\frac{k \cdot \lambda}{g}$$
$$ \Delta x $$ is what you're looking for, lamda is the wavelength, g the width of your slit and d the distance between slit and screen.

The difference to two or more slits is, that u dont find the bright, but the dark bands.

anonymous · Answer

$$y = ( 1 + 0.5)(605 \times 10^{-9} )(0.85) / ( 0.095 \times 10^{-3}$$

anonymous · Answer

$$Y = 8.11 \times 10^{-3}$$

anonymous · Answer

I came up with 0.008119737

anonymous · Answer

If it helps its on of these 4. I just need to understand these questions better its on my review sheet.
 0.5 mm

 5.4 mm

 540 mm

 5,400 mm

anonymous · Answer

and, as a proper physicist, don't forget your units

anonymous · Answer

This is for a review. I just want to grasp these questions better. If it helps its one of these.
 0.5 mm
 5.4 mm
 540 mm
5,400 mm

anonymous · Answer

OF that queston your and my answer are same.