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Q.

Assume that light of wavelength 6000 A0 is coming from a star. What is the limit of resolution of a telescope nearly, whose objective has a diameter of 100 inch (1 inch =2.5 cm).

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a

2×10−7 radians 

b

7×10−7 radians 

c

5×10−7 radians 

d

3×10−7 radians 

answer is D.

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Detailed Solution

a = 100 inch = 254 cm. This if,

λ ≈ 6000Ao =6 x 10-5cm then,

Limit of resolution of telescope is 
Δθ=1.22λa≈3×10−7 radians

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