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Geometrical Optics question

2019 · Shift 1 · Q43
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Geometrical Optics question

2019 · Shift 1 · Q43

JEE AdvancedPhysicsGeometrical OpticsMultiple correct+4 / −1
A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n1 = n2 = n. The focal length is f + Δ\DeltaΔ f when n1 = n and n2 = n + Δ\DeltaΔ n. Assuming Δ\DeltaΔ n << (n - 1) and 1 < n < 2, the correct statement(s) is/are JEE Advanced 2019 Paper 1 Offline Physics - Geometrical Optics Question 52 English
  1. A
    If Δnn<0{{\Delta n} \over n} \lt 0nΔn​<0 then Δff{{\Delta f} \over f}fΔf​ > 0
  2. B
    For n = 1.5, Δ\DeltaΔ n = 10-3 and f = 20 cm, the value of ∣Δf∣\left| {\Delta f} \right|∣Δf∣ will be 0.02 cm (round off to 2nd decimal place).
  3. C
    ∣Δff∣<∣Δnn∣\left| {{{\Delta f} \over f}} \right| \lt \left| {{{\Delta n} \over n}} \right|​fΔf​​<​nΔn​​
  4. D
    The relation between Δff{{{\Delta f} \over f}}fΔf​ and Δnn{{{\Delta n} \over n}}nΔn​ remains unchanged if both the convex surfaces are replaced by concave surfaces of the same radius of curvature.
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