Light shines through a single slit whose width is 1.12 mm. A diffraction pattern is formed on a screen located 4.0 m away. The distance between the middle central bright fringe and the second dark fringe is 4.0 mm. What is the wavelength of the light?
To find the wavelength of light, we can use the formula for the distance between fringes in a single-slit diffraction pattern:
λ = (2 ⨉ d ⨉ L) / w,
where λ represents the wavelength of light, d is the distance between the middle central bright fringe and the second dark fringe, L is the distance between the single slit and the screen, and w is the width of the single slit.
Given the values in the question:
d = 4.0 mm = 0.004 m (converting mm to m)
L = 4.0 m
w = 1.12 mm = 0.00112 m (converting mm to m)
Now, we can plug in these values into the formula and solve for λ:
λ = (2 ⨉ 0.004 m ⨉ 4.0 m) / 0.00112 m
Once we calculate this expression, we can find the wavelength of light.