Calculate the limit of resolution of microscope with cone angle of light falling on the objective equal to 60°. (Given λ=5000 mathringA, μ for air =1)

Question

Calculate the limit of resolution of microscope with cone angle of light falling on the objective equal to 60°. (Given λ=5000 mathringA, μ for air =1) (A) 5 × 10-7 m (B) 0.5 μ m (C) Both of these (D) None of these

Tardigrade Admin · Accepted Answer

d =(λ/2 μ sin θ) =(5000 × 10-10/2 × 1 × sin 30°) (2 θ=60°) (θ=30°) d =5 × 10-7 d =0.5 μ m

Q. Calculate the limit of resolution of microscope with cone angle of light falling on the objective equal to $6 0^{\circ}$ . (Given $λ = 5000 \overset{˚}{A}$ , $μ$ for air $= 1)$

$5 \times 1 0^{- 7} m$

$0.5 μ m$

Both of these

None of these

$d = \frac{λ}{2 μ s i n θ}$
$= \frac{5000 \times 1 0 ^{- 10}}{2 \times 1 \times s i n 3 0 ^{\circ}}$
$(2 θ = 6 0^{\circ})$
$(θ = 3 0^{\circ})$
$d = 5 \times 1 0^{- 7}$
$d = 0.5 μ m$

Q. Calculate the limit of resolution of microscope with cone angle of light falling on the objective equal to 60∘. (Given λ=5000A˚, μ for air =1)

5×10−7m

0.5μm