First slide

Resolving power of optical instruments

Question

A telescope of diameter 2m uses light of wavelength 5000 Å for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

Moderate

A

$4 \times 10^{- 4} rad$
B

$0.25 \times 10^{- 6} rad$
C

$0.31 \times 10^{- 6} rad$
D

$5.0 \times 10^{- 3} rad$

Solution

$Minimum angular separation Δθ = \frac{1}{R \cdot P} = \frac{1 .22 λ}{d}$
$= \frac{1 .22 \times 5000 \times 10^{- 10}}{2} = 0 .3 \times 10^{- 6} rad$

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