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Q.

The diameter of objective lens of a telescope is 6 cm and wavelength of light used is 540 nm. The resolving power of telescope is

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a

9.1×104rad1

b

105rad1

c

3×103rad1

d

None of these

answer is A.

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Detailed Solution

D=6cm=6×102m
And wavelength,
λ=540nm=540×109m
Resolving power of telescope(RP)
=1Δθ=D1.22λ
Where, D=diameter of objective and
λ=wavelength of light
RP=6×1021.22×540×109rad1=6000×104540×1.22rad1=9.1×104rad1
 

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The diameter of objective lens of a telescope is 6 cm and wavelength of light used is 540 nm. The resolving power of telescope is