Monochromatic light of wavelength 550 nm passes through a diffraction grating that has 55000 lines/m. A bright line appears on the screen at an angle of 12.23o from the central bright fringe. What is the order of this bright line?
Choose one answer.
a. 5
b. 6
c. 7
d. 8
noooob
i dont think youre a noob :)
bruh that was a post from 2012 u answer it in 2018?
To determine the order of the bright line, we can use the formula for the angle of diffraction given by the grating equation:
sinθ = m * λ / d
Where:
- θ is the angle of diffraction
- m is the order of the bright line
- λ is the wavelength of light
- d is the spacing between the grating lines
In this case, the wavelength of light is 550 nm (or 550 x 10^(-9) meters) and the grating has 55000 lines/m (or a spacing of 1/55000 meters per line).
Plugging in the given values:
sin(12.23°) = m * (550 x 10^(-9) m) / (1/55000 m)
Now we can solve for m:
m = sin(12.23°) * (1/55000 m) / (550 x 10^(-9) m)
m ≈ 6
Therefore, the order of this bright line is 6.
The answer is b. 6.