A monochromatic light of wavelength 6000 text | vedclass

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Question

(C) The limit of resolution $(	heta_R)$ for a telescope is given by the formula:$	heta_R = \frac{1.22 \lambda}{a}$Given:$\lambda = 6000 	ext{ \AA}

Vedclass · Accepted Answer

$2.9 	imes 10^{-7} 	ext{ rad}$

Vedclass · Answer

(C) The limit of resolution $(	heta_R)$ for a telescope is given by the formula:$	heta_R = \frac{1.22 \lambda}{a}$Given:$\lambda = 6000 	ext{ \AA} = 6000 	imes 10^{-10} 	ext{ m} = 6 	imes 10^{-7} 	ext{ m}$$a = 100 	ext{ inch} = 100 	imes 2.54 	ext{ cm} = 254 	ext{ cm} = 2.54 	ext{ m}$Substituting the values into the formula:$	heta_R = \frac{1.22 	imes 6 	imes 10^{-7}}{2.54}$$	heta_R \approx \frac{7.32 	imes 10^{-7}}{2.54} \approx 2.88 	imes 10^{-7} 	ext{ rad}$Rounding to two significant figures, we get:$	heta_R \approx 2.9 	imes 10^{-7} 	ext{ rad}$

$A$ monochromatic light of wavelength $6000 \text{ \AA}$ coming from a star is detected in a $100 \text{ inch}$ telescope. The limit of resolution of the telescope is approximately

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