The diameter of the objective lens of a teles | vedclass

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Question

(C) The limit of resolution of a telescope is given by the formula: $\Delta 	heta = \frac{1.22 \lambda}{d}$ Given: Wavelength $\lambda = 600 \ nm = 6

Vedclass · Accepted Answer

$3.0 	imes 10^{-7} \ rad$

Vedclass · Answer

(C) The limit of resolution of a telescope is given by the formula: $\Delta 	heta = \frac{1.22 \lambda}{d}$ Given: Wavelength $\lambda = 600 \ nm = 600 	imes 10^{-9} \ m$ Diameter $d = 250 \ cm = 250 	imes 10^{-2} \ m = 2.5 \ m$ Substituting the values: $\Delta 	heta = \frac{1.22 	imes 600 	imes 10^{-9}}{2.5}$ $\Delta 	heta = \frac{732 	imes 10^{-9}}{2.5}$ $\Delta 	heta = 292.8 	imes 10^{-9} \ rad \approx 3 	imes 10^{-7} \ rad$

The diameter of the objective lens of a telescope is $250 \ cm$. For light of wavelength $600 \ nm$ coming from a distant object,the limit of resolution of the telescope is close to:

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