Given: width of aperture d=3 mm and λ=500 nm. For what distance ray optics is a good approximation?

Question

Given: width of aperture d=3 mm and λ=500 nm. For what distance ray optics is a good approximation? (A) 18 m (B) 18 nm (C) 18 mathringA (D) 18 light years

Tardigrade Admin · Accepted Answer

DF =(d2/λ) DF =((3 × 10-3)(3 × 10-3)/500 × 10-9) m =(90/5) m =18 m

Q. Given: width of aperture $d = 3 mm$ and $λ = 500 nm$ . For what distance ray optics is a good approximation?

$18 m$

$18 nm$

$18 \overset{˚}{A}$

18 light years

$D_{F} = \frac{d ^{2}}{λ}$
$D_{F} = \frac{( 3 \times 1 0 ^{- 3} ) ( 3 \times 1 0 ^{- 3} )}{500 \times 1 0 ^{- 9}} m$
$= \frac{90}{5} m = 18 m$

Q. Given: width of aperture d=3mm and λ=500nm. For what distance ray optics is a good approximation?

18m

18nm

18A˚