orange light (lambda=630nm) hits diffraction grating which has a line spacing of (mu)m. The interference pattern is seen on a screen that is 4.0m away.
what is the distance between the central bright spot and the first order bright spot on the screen.
(sorry I don't have symbols on my computer)
thank you!
To find the distance between the central bright spot and the first-order bright spot on the screen, we can use the equation for the interference pattern produced by a diffraction grating:
sin(theta) = lambda / (m * d)
where:
- theta is the angle between the incident light and the mth-order bright spot,
- lambda is the wavelength of the incident light (in meters),
- m is the order of the bright spot (in this case, m = 1 for the first-order bright spot),
- d is the line spacing of the diffraction grating (in meters).
In this case, the incident light has a wavelength of 630 nm, which is 630 * 10^-9 meters.
We need to convert this wavelength to meters:
lambda = 630 * 10^-9 meters
We are given that the line spacing is "mu", which stands for micrometers. To convert micrometers to meters, we divide by 10^6:
d = mu / 10^6 meters
The distance between the central bright spot and the first-order bright spot can be calculated by knowing the angle theta and the distance between the grating and the screen.
However, we are not given the value of theta or the distance between the grating and the screen. It seems that some information is missing from the question.