A student doing Young's experiment measures a distance of 6.0 cm between the first and seventh nodal points on a screen located 3.0 m from the slit plate.
a) if the slit seperation is 220^ -6, what is the wave length of light being used ?
b) what colour is the light ?
x=2k•λ•L/2d= k•λ•L/d,
Δx=x7-x1 =
=7•λ•L/d - 1•λ•L/d = 6•λ•L/d,
λ = Δx•d/6•L =
=0.06•220•10^-6/6•3=
=7.3•10^-7 m .
Red light
To calculate the wavelength of light being used in Young's experiment, we can use the formula:
λ = (d * L) / D
Where:
λ is the wavelength of light
d is the distance between the first and seventh nodal points on the screen
L is the distance between the slit plate and the screen
D is the slit separation
a) To calculate the wavelength of light:
Given:
d = 6.0 cm = 6.0 * 10^-2 m
L = 3.0 m
D = 220 * 10^-6 m
Substituting the values into the formula, we get:
λ = (6.0 * 10^-2 * 3.0) / (220 * 10^-6)
Simplifying the expression, we get:
λ = 0.027 m = 27 nm
Therefore, the wavelength of light being used is 27 nm.
b) To determine the color of light, we can refer to the electromagnetic spectrum. Different colors of light correspond to different ranges of wavelengths.
In general, red light has the longest wavelength, while violet light has the shortest wavelength. The range of visible light is approximately 400 to 700 nm.
Since the calculated wavelength is 27 nm, it falls in the ultraviolet range of the electromagnetic spectrum, which is not a color visible to the human eye. Therefore, we cannot determine the color of the light based on the given information.