A convex lens forms a real image of a point o | vedclass

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(C) The convex lens forms a real image at a distance of $50 \, cm$ from it. This point acts as a virtual object for the concave lens.When a plane mirr

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$40$

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(C) The convex lens forms a real image at a distance of $50 \, cm$ from it. This point acts as a virtual object for the concave lens.When a plane mirror is placed such that the final image coincides with the object,the light rays must strike the mirror normally,meaning they must be parallel to the principal axis after passing through the concave lens.For the rays to become parallel to the principal axis after passing through the concave lens,the virtual object must be located at the focal point of the concave lens.The distance of the virtual object from the concave lens is $d = 50 \, cm - 10 \, cm = 40 \, cm$.Since the virtual object is at the focus,the focal length of the concave lens is $f = 40 \, cm$ (magnitude).Thus,the correct option is $C$.

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