Wave Optics - Result Question 26

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28. The ratio of resolving powers of an optical microscope for two wavelengths $\lambda_1=4000 \AA$ and $\lambda_2=6000 \AA$ is

======= ####28. The ratio of resolving powers of an optical microscope for two wavelengths $\lambda_1=4000 \AA$ and $\lambda_2=6000 \AA$ is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/wave-optics/wave-optics—result-question-26.md (a) $9: 4$

(b) $3: 2$

(c) $16: 81$

(d) $8: 27$

[2017]

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Answer:

Correct Answer: 28. (b)

Solution:

  1. (b) Resolving power of a microscope $=\frac{2 \mu \sin \theta}{\lambda}$

i.e., $R \propto \frac{1}{\lambda} \quad$ or, $\frac{R_1}{R_2}=\frac{\lambda_2}{\lambda_1}$

Given that the two wavelengths,

$\lambda_1=4000 \AA$ and $\lambda_2=6000 \AA$

$\therefore \frac{R_1}{R_2}=\frac{6000 \AA}{4000 \AA}=\frac{3}{2}$