Verified Solution • 2025–26 Session moderate

QJEEM19Phddd9: JEE Main 2019 Physics - Class 12 JEEM19Phddd9 Solution: Calculate the limit of resolution of a telescope objective…

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 :-

Multiple Choice Options

  • A 610 × 10–9 radian
  • B 457.5 × 10–9 radian
  • C 305 × 10–9 radian
  • D 152.5 × 10–9 radian

Step-by-Step Verified Solution

Limit of resolution of telescope (θ)=1.22λD(\theta) = {{1.22\lambda } \over D}

θ=1.22×500×10−9200×10−2=1.22×500×10−92\theta = {{1.22 \times 500 \times {{10}^{ - 9}}} \over {200 \times {{10}^{ - 2}}}} = {{1.22 \times 500 \times {{10}^{ - 9}}} \over 2}

θ\theta = 305 × 10–9 radian

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