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?
5
6
7
8
where's the rest
such a teacher
To determine the order of the bright line, we can use the formula:
n * λ = d * sin(θ)
Where:
- n is the order of the bright line
- λ is the wavelength of the light (550 nm or 550 x 10⁻⁹ m)
- d is the spacing between the lines on the diffraction grating (calculated as 1 / lines per meter or 1 / 55000 m⁻¹)
- θ is the angle at which the bright line appears (12.23°)
Rearranging the formula, we have:
n = (d * sin(θ)) / λ
Substituting the given values:
n = ((1 / 55000) * sin(12.23°)) / (550 x 10⁻⁹ m)
After performing the calculations, we find that the order of the bright line is approximately 6. Therefore, the correct answer is:
6.
dsin12.23 = ml, m = 0, 1, 2, ….`
where l = 550 * 10^-9 m
d = 1/55000
solve for m