Calculate the limit of resolution of a telesc | vedclass

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Question

(C) The limit of resolution $(	heta)$ of a telescope is given by the formula: $	heta = \frac{1.22 \lambda}{D}$Given:Diameter of the objective $(D)$

Vedclass · Accepted Answer

$305	imes10^{-9}$ radian

Vedclass · Answer

(C) The limit of resolution $(	heta)$ of a telescope is given by the formula: $	heta = \frac{1.22 \lambda}{D}$Given:Diameter of the objective $(D)$ $= 200\, cm = 2\, m = 200 	imes 10^{-2}\, m$Wavelength of light $(\lambda)$ $= 500\, nm = 500 	imes 10^{-9}\, m$Substituting the values into the formula:$	heta = \frac{1.22 	imes 500 	imes 10^{-9}}{200 	imes 10^{-2}}$$	heta = \frac{1.22 	imes 500}{200} 	imes 10^{-7}$$	heta = 1.22 	imes 2.5 	imes 10^{-7}$$	heta = 3.05 	imes 10^{-7}\, 	ext{radian}$$	heta = 305 	imes 10^{-9}\, 	ext{radian}$

Calculate the limit of resolution of a telescope objective having a diameter of $200\, cm$, if it has to detect light of wavelength $500\, nm$ coming from a star.

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