A monochromatic wavelength 600nm passed through a singlde slit which has a width of 0.8mm. A,calculate the distance between six and nineth bright frings.
To calculate the distance between the sixth and ninth bright fringes, we can use the formula for the position of the bright fringes in a single-slit diffraction pattern:
y = (m * λ * L) / w
Where:
y is the distance from the central maximum to the fringe,
m is the order of the fringe (m = 1 refers to the first dark fringe, m = 2 refers to the first bright fringe, and so on),
λ is the wavelength of light,
L is the distance between the slit and the screen, and
w is the width of the slit.
In this case, we are given:
λ = 600 nm = 600 x 10^-9 m (converted to meters)
w = 0.8 mm = 0.8 x 10^-3 m (converted to meters)
Assuming m = 6 and y6 = distance to the sixth bright fringe, and m = 9 and y9 = distance to the ninth bright fringe, we can use the formula to find both values.
For the sixth bright fringe:
y6 = (6 * λ * L) / w
Similarly, for the ninth bright fringe:
y9 = (9 * λ * L) / w
To find the distance between the sixth and ninth bright fringes, we subtract the position of the sixth fringe from the position of the ninth fringe:
Distance = y9 - y6
Now, we need to know the value of L (the distance between the slit and the screen) to calculate the distance between the fringes. Could you provide the value of L?