JEE Main 2019 — Physics solution

JEE Main2019Physics

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 :

A
1.5 × 10^–7rad
B
3.0 × 10^–7rad
C
2.0 × 10^–7rad
D
4.5 × 10^–7rad

Solution

$θ = \frac{1.22 λ}{D} \Rightarrow θ = \frac{1.22 \times 600 \times 10 ^{- 9}}{250} \times 100 = 2.92 \times 1 0^{- 7} \Rightarrow θ = 3 \times 1 0^{- 7} r a d$

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