The graph between object distance u and image distance v from a convex lens is given. The correct option option, from the following, is

Question

The graph between object distance u and image distance v from a convex lens is given. The correct option option, from the following, is, f = 5 ± 0 · 1, f = 5 ± 0 · 05, f = 0 · 5 ± 0 · 1, f = 0 · 5 ± 0 · 0 5

MARKS App · Accepted Answer

From the lens formula : We have 1 f = 1 υ - 1 u 1 f = 1 1 0 - 1 - 1 0 or, f = + 5 Further, Δ u = 0 · 1 and Δ υ = 0 · 1 ( from the graph ) Now, differentiating the lens formula, we have Δ f f 2 = Δ υ υ 2 + Δ u u 2 or, Δ f = Δ υ υ 2 + Δ u u 2 f 2 Substituting the values, we get Δ f = 0 · 1 1 0 2 + 0 · 1 1 0 2 5 2 = 0 · 0 5 ∴ f ± Δ f = 5 ± 0 · 0 5

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