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Question

(A) The limit of resolution of a telescope is given by the formula:$	heta = \frac{1.22 \lambda}{d}$where $\lambda$ is the wavelength of light and $d$

Vedclass · Accepted Answer

$3.9 	imes 10^{-7} \,rad$

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(A) The limit of resolution of a telescope is given by the formula:$	heta = \frac{1.22 \lambda}{d}$where $\lambda$ is the wavelength of light and $d$ is the diameter of the objective lens.Given:$\lambda = 6400 	ext{ Å} = 6400 	imes 10^{-10} \,m = 6.4 	imes 10^{-7} \,m$$d = 200 \,cm = 2 \,m$Substituting these values into the formula:$	heta = \frac{1.22 	imes 6.4 	imes 10^{-7}}{2}$$	heta = 1.22 	imes 3.2 	imes 10^{-7}$$	heta = 3.904 	imes 10^{-7} \,rad$Rounding to the nearest significant value, we get $	heta \approx 3.9 	imes 10^{-7} \,rad$.

With the help of a telescope that has an objective of diameter $200 \,cm$, it is proved that light of wavelengths of the order of $6400 \text{ Å}$ coming from a star can be easily resolved. Then, the limit of resolution is

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