What is the limiting angle of resolution for a lens of radius 2.0 mm when viewing with light having a wavelength of 600 nm? A)1.3 × 10^-4 rad B)1.5 × 10^-4 rad C)1.8 × 10^-4 rad D)1.5 × 10^-7 rad E)1.8 × 10^-7 rad

Question

Quizplus · Accepted Answer

The limiting angle of resolution for a lens can be found using the formula:

sinθ = 1.22λ/D

Where θ is the limiting angle of resolution, λ is the wavelength of light, and D is the diameter of the lens.

Substituting the given values, we get:

sinθ = 1.22(600 x 10^-9)m / (2 x 10^-3)m = 1.83 x 10^-4

Taking the inverse sin of this value, we get:

θ = 1.8 x 10^-4 rad

Therefore, the closest answer choice is C, 1.8 x 10^-4 rad.

What Is the Limiting Angle of Resolution for a Lens