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Wave Optics question

2004 · Q129
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Wave Optics question

2004 · Q129

NEETPhysicsWave OpticsMCQ+4 / −1
A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 A∘\mathop A\limits^ \circA∘​, is of the order of
  1. A
    0.5 m
  2. B
    5 m
  3. C
    5 mm
  4. D
    5 cm
View written solutionFree

Correct answer: C

Here, x1000=1.22λD{x \over {1000}} = {{1.22\lambda } \over D}1000x​=D1.22λ​

⇒\Rightarrow⇒ x = 1.22×5×103×10−10×10310×10−2{{1.22 \times 5 \times {{10}^3} \times {{10}^{ - 10}} \times {{10}^3}} \over {10 \times {{10}^{ - 2}}}}10×10−21.22×5×103×10−10×103​

⇒\Rightarrow⇒ x = 1.22 ×\times× 5 ×\times× 10-3 m = 6.1 mm

∴\therefore∴ x is of the order of 5 mm.

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