First slide

Resolving power of optical instruments

Question

A telescope of diameter 2m uses light of wavelength 5000 $\overset{0}{A}$ for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

Moderate

A

$4 \times 10^{- 4} r a d$
B

$0.25 \times 10^{- 6} r a d$
C

$0.30 \times 10^{- 6} r a d$
D

$5.0 \times 10^{- 3} r a d$

Solution

Minimum angular separation $R e s o l v i n g l i m i t = Δ θ = \frac{1}{R . P .} = \frac{1.22 λ}{d}$ = $\frac{1.22 \times 5000 \times 10^{- 10}}{2} = 0.3 \times 10^{- 6} rad$

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