in ydse, two parallel slits are made 1mm apart and a screen is placed 1m away. what is the fringe seperation when blue green light of wavelength 500 nm is used?
Δy=Lλ/d = 1•500•10⁻⁹/0.001=…
To calculate the fringe separation in Young's double-slit experiment, we need to use the formula:
Fringe separation (d) = (λ * D) / d
Where:
λ = Wavelength of light
D = Distance between the slit and the screen
d = Distance between the two slits
In this case, the wavelength of the blue-green light is given as 500 nm, which is equivalent to 500 × 10^-9 meters.
The distance between the slit and the screen is given as 1 meter (D = 1m).
The distance between the two parallel slits is given as 1 mm, which is equivalent to 1 × 10^-3 meters (d = 1mm = 1 × 10^-3m).
Let's substitute the values into the formula:
Fringe separation (d) = (500 × 10^-9 * 1) / (1 × 10^-3)
= (500 × 1) / (1 × 10^-3)
= 500,000 / 0.001
= 500,000,000
Therefore, the fringe separation when using blue-green light with a wavelength of 500 nm is 500,000,000 units (which is the same as the original units, in this case, meters).