A telescope with objective diameter R is used | vedclass

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(B) The angular resolution of a telescope is given by the formula $	heta = 1.22 \frac{\lambda}{R}$.Given:$	heta = 5 	imes 10^{-7} 	ext{ rad}$$\lam

Vedclass · Accepted Answer

$122$

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(B) The angular resolution of a telescope is given by the formula $	heta = 1.22 \frac{\lambda}{R}$.Given:$	heta = 5 	imes 10^{-7} 	ext{ rad}$$\lambda = 500 	ext{ nm} = 500 	imes 10^{-9} 	ext{ m}$Substituting these values into the formula:$5 	imes 10^{-7} = 1.22 	imes \frac{500 	imes 10^{-9}}{R}$Rearranging for $R$:$R = \frac{1.22 	imes 500 	imes 10^{-9}}{5 	imes 10^{-7}}$$R = 1.22 	imes 100 	imes 10^{-2}$$R = 1.22 	ext{ m}$Converting to centimeters:$R = 1.22 	imes 100 	ext{ cm} = 122 	ext{ cm}$.

$A$ telescope with objective diameter $R$ is used to observe a distant star emitting light of wavelength $500 \text{ nm}$, at a resolution of $5 \times 10^{-7} \text{ radian}$. The value of $R$ is . . . . . . $\text{cm}$.

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