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Assume that light of wavelength 6000 Å i...

Assume that light of wavelength `6000 Å` is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of 100 inch ?

Text Solution

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Given, diameter of objective, `d = 100 ` inch
`=2.54 xx 100 cm = 254 cm`
Wavelength, `lambda = 6000 Å = 6 xx 10^(-5) cm`
Limit of resolution of the telescope is given by
`Delta theta = (1.22 lambda)/(d)`
`=(1.22 xx 6 xx 10^(-5))/(254) = 2.9 xx 10^(-7) ` radians.
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