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Wave Optics question

2017 · Q134
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Wave Optics question

2017 · Q134

NEETPhysicsWave OpticsMCQ+4 / −1
The ratio of resolving powers of an optical microscope for two wavelength λ\lambdaλ1 = 4000 A∘\mathop A\limits^ \circA∘​ and λ2{\lambda _2}λ2​ = 6000 A∘\mathop A\limits^ \circA∘​ is
  1. A
    9 : 4
  2. B
    3 : 2
  3. C
    16 : 81
  4. D
    8 : 27
View written solutionFree

Correct answer: B

The resolving power of an optical microscope,

RP = 2μsin⁡θλ{{2\mu \sin \theta } \over \lambda }λ2μsinθ​

⇒\Rightarrow⇒ RP ∝\propto∝ 1λ{1 \over \lambda }λ1​

Now, RP1RP2=λ2λ1{{R{P_1}} \over {R{P_2}}} = {{{\lambda _2}} \over {{\lambda _1}}}RP2​RP1​​=λ1​λ2​​

= 60004000{{6000} \over {4000}}40006000​ = 32{3 \over 2}23​

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