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Help me understand! 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.

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

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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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