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Diameter of the objective lens of a telescope is 250\:cm . For light of wavelength 600\:\:nm. coming from a distant object , the limit of resolution of the telescope is close to :

  • Option 1)

    1.5\times10^{-7}\:\:rad

  • Option 2)

    2.0\times10^{-7}\:\:rad

  • Option 3)

    3.0\times10^{-7}\:\:rad

  • Option 4)

    4.5\times10^{-7}\:\:rad

 

Answers (1)

best_answer

\Delta \theta =0.61\times\frac{\lambda}{r}

=0.61\times\frac{(600\times10^{-9})}{1.25}

=2.92\times10^{-7}\simeq 3\times10^{-7}\:\:rad


Option 1)

1.5\times10^{-7}\:\:rad

Option 2)

2.0\times10^{-7}\:\:rad

Option 3)

3.0\times10^{-7}\:\:rad

Option 4)

4.5\times10^{-7}\:\:rad

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