Students are given a convex lens and a concave mirror with a 20 cm focal length each, and the teacher instructs them to determine their focal lengths by capturing an image of a faraway object. The student chose a distant tree as the object and carefully captured each branch's fine image on a screen. The distance d₁ and d₂ between the lens/mirror and the screen in the two cases and the nature of their respective sharp images are likely to be and give reason for your answer.

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(20 𝑐𝑚, 40 𝑐𝑚) and (erect and inverted)

(20 𝑐𝑚, 40 𝑐𝑚) and (erect and erect)

(20 𝑐𝑚, 20 𝑐𝑚) and (inverted and inverted)

(20 𝑐𝑚, 40 𝑐𝑚) and (inverted and inverted)

answer is C.

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Detailed Solution

As the focal length remains the same. The convex lens and concave mirror always form real and inverted images, except for a few rare cases. Since the object is a distant one, the image obtained will be the focus and when calculated focal length remains the same. i.e., 20 𝑐𝑚.

Hence the correct option is (c) (20 𝑐𝑚, 20 𝑐𝑚) and (inverted and inverted).

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