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Q.

Figure shows variation of magnification m(produced by a thin convex lens) and distance v of image from pole of the lens. Which of the following statements are correct?

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a

focal length of the lens is equal to intercept on v - axis

b

focal length of the lens is equal to inverse of slope of the line

c

Magnitude of intercept on m – axis is equal to unity

d

None

answer is A.

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Detailed Solution

∵1f=1v−1u⇒vf=1−vusince m is positive in the graph,∴m=vu=(−)vu⇒m=vf−1=(−)vu∴ intercept on m−axis=−1&tan⁡θ=1f
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