# 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.Option 1)$305 \times 10^{-9}\; radian$Option 2)$610\times 10^{-9}\; radian$Option 3)$152.5 \times 10^{-9}\; radian$Option 4)$457.5 \times 10^{-9}\; radian$

S solutionqc

Limit of resolution of telescope

$\Theta =\frac{1.22 \lambda}{\Delta }$

$\lambda=500 nm\\ \Delta = 200 cm$

$\theta=\frac{1.22 \times 5 \times 10^{2} \times 10^{-9}}{2 \times 10^{2} \times 10^{-2}}$

$\theta=305 \times 10^{-9} radian$

Option 1)

$305 \times 10^{-9}\; radian$

Option 2)

$610\times 10^{-9}\; radian$

Option 3)

$152.5 \times 10^{-9}\; radian$

Option 4)

$457.5 \times 10^{-9}\; radian$

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