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An optical arrangement consists of two c...

An optical arrangement consists of two concave mirrors `M_1` and `M_2`, and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm. The radii of curvature of `M_1` and `M_2` are `20 cm` and `24 cm` , respectively. The distance between L and `M_2` is `20 cm`. A point object S is placed at the mid-point between L and `M_2` on the axis. When the distance between L and `M_1` is `n/7 cm`, one of the images coincides with S. The value of ? is _______.

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