A beam of light diverges from \( P \) on the axis of a convex lens and the after passing through...

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A beam of light diverges from \( P \) on the axis of a convex lens and the after passing through the lens is reflected from the surface of a convex mirror. The reflected beam is brought to a focus by the lens at \( P \) itself. (a) Find the focal length of the lens. Given that the distance of the lens and the mirror is \( 10 \mathrm{~cm} \). The distance of \( P \) from the mirror is \( 30 \mathrm{~cm} \) and the focal length of the mirror is \( 10 \mathrm{~cm} \).
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