Question:medium

Apply the mirror formula if focal length \( f = l \, \text{m} \) and object distance \( u = 15 \, \text{m}.\)

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The mirror formula is essential for determining the image distance when the object distance and focal length are known.
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Solution and Explanation

The mirror formula links object distance, image distance and focal length as \( \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f} \), rearranged to \( v = \dfrac{uf}{u-f} \). Here the object distance is given as \( u = 15 \, \text{m} \); the focal length in the question is written as "\(f = l\, \text{m}\)", which is not a usable numeric value, so the image distance cannot be pinned to a single number and stays expressed as \( v = uf/(u-f) \) in terms of that focal length.
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