Question 310: Wave Optics

Question

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000 \mathop A\limits^o $ is used. If the light of wavelength $4800 \mathop A\limits^o $ is used, the limit of resolution will become

Accepted Answer

Original distance that can just be resolved: $ d_1 = 0.1 $ mm (using light with wavelength $ \lambda_1 = 6000 \, 	ext{ÃÂ} $)
New wavelength $ \lambda_2 = 4800 \, 	ext{ÃÂ} $
Using the proportionality relationship:
$ \frac{d_1}{d_2} = \frac{\lambda_1}{\lambda_2} $
Substitute the values:
$ \frac{0.1}{d_2} = \frac{6000}{4800} $
Solving for $ d_2 $:
$ d_2 = \frac{0.1 	imes 4800}{6000} = 0.08 \, 	ext{mm} $
Thus, when using light with a wavelength of $ 4800 \, 	ext{ÃÂ} $, the limit of resolution becomes $ 0.08 $ mm.

Answer

0.8 mm

Answer

0.12 mm

Answer

0.10 mm

Answer

0.08 mm

Wave Optics

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength 6000 \mathop A\limits^o is used. If the light of wavelength 4800 \mathop A\limits^o is used, the limit of resolution will become

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