- #1
jones268
- 5
- 0
Monochromatic light with a wavelength of 419 nm passes through a single slit and falls on a screen 88 cm away. If the distance of the first-order dark band is 0.29 cm from the center of the pattern, what is the width of the slit?
My knowns are as follows:
L= 88 cm (distance from slit to screen)
λ= 419 nm
WCM= 0.58 cm (width of the central max, I assumed it was twice the distance from the center of the patter to the first order dark band)
w=? unknown width of the slit
I thought I should use the following equation:
WCM=[(2)(λ)(L)]/[(square root of : (w^2 - λ^2))]
I plugged the numbers into the equation and solved for w, but came up with the wrong answer, I'm not quite sure what I'm doing wrong...
My knowns are as follows:
L= 88 cm (distance from slit to screen)
λ= 419 nm
WCM= 0.58 cm (width of the central max, I assumed it was twice the distance from the center of the patter to the first order dark band)
w=? unknown width of the slit
I thought I should use the following equation:
WCM=[(2)(λ)(L)]/[(square root of : (w^2 - λ^2))]
I plugged the numbers into the equation and solved for w, but came up with the wrong answer, I'm not quite sure what I'm doing wrong...