First slide

Resolving power of optical instruments

Question

The diameter of the objective lens of a telescope is 5.0 m and wavelength of light is 6000 Å. The limit of resolution of this telescope will be

Moderate

A

0.03 sec
B

3.03 sec
C

0.06 sec
D

0.15 sec

Solution

$Limit of resolution = \frac{1 .22 λ}{a} \times \frac{180}{π} (in degree) = {(\frac{1 .22 \times (6000 \times 10^{- 10})}{5} \times \frac{180}{π})}^{0} = {(8.4 \times 10^{- 6})}^{0} = (8.4 \times 10^{- 6}) \times 3600 = 0 .03 \sec$

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