What is θ_min for a monochromatic beam of light of wavelength 600 nm and an aperture diameter of 6.00 mm? A) 100 × 10^-⁶ rad B) 202 × 10^-⁶ rad C) 122 × 10^-⁶ rad D) 244 × 10^-⁶ rad E) 236 × 10^-⁶ rad

Question

Quizplus · Accepted Answer

The formula for calculating the angular size of the diffraction pattern for a circular aperture is:

θ = 1.22λ/D

Where:
θ = angular size of the diffraction pattern
λ = wavelength of the light
D = diameter of the aperture

Plugging in the values given:
θ = 1.22(600 nm)/(6.00 mm) = 0.122 rad

Converting to degrees:
θ = 0.122 * (180/π) = 7.00°

Finally, expressing the answer in scientific notation:
θ = 7.00° = 7.00 * 10^(-2) rad = 122 * 10^(-3) rad

So the answer is C, 122 × 10^(-3) rad.

What Is θmin for a Monochromatic Beam of Light of Wavelength

What Is θ_min for a Monochromatic Beam of Light of Wavelength