Answer:
a) distance between the two = 1.3m
b) How many bright fringes can be seen on the screen = 7
Explanation:
The detailed steps by application of diffraction grating is as shown in the attachment.
A) The distance between the two m = 1 fringes is; 1.2 m
B) The number of bright fringes that can be seen on the screen is; 7
We are given;
Wavelength; λ = 500 nm = 500 × 10⁻⁹ m
D = 2 m
m = 1
d = 1 * 10⁻³/600 = 1.67 * 10⁻⁶
The distance between the two m = 1 fringes is gotten from;
y_m = mλD/d
y_m = (1 * 500 × 10⁻⁹ × 2)/(1.67 * 10⁻⁶)
y_m = 0.599 m
Separation of the two m=1 fringes gives;
2y_m = 2 * 0.599 = 1.2 m
B) To get the number of bright fringes, we will use the formula;
m = d (sin θ)/λ
m = 1.67 * 10⁻⁶ * (sin 90)/(500 × 10⁻⁹)
m = 3.34
Approximating to a whole number gives;
m = 3
Thus;
Total bright fringes = 2(3) + 1 = 7
Read more about diffraction grating at; https://brainly.com/question/1558440
