JEE Main 2019 — Physics solution

JEE Main2019Physics

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.

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

Solution

$θ = \frac{1.22 λ}{D} θ = \frac{1.22 \times 500 \times 10 ^{- 9}}{200 \times 10 ^{- 2}} = \frac{1.22 \times 500 \times 10 ^{- 9}}{2} θ = 305 \times 1 0^{- 9} r a d ian$

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