A rod of length 2 cm makes an angle 2π/3 rad with the principal axis of a thin convex lens.

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A rod of length 2 cm makes an angle 2π/3 rad with the principal axis of a thin convex lens. The lens has a focal length of 10 cm and is placed at a distance of 40/3 cm from the object as shown in the figure. The height of the image is (30√3)/13 cm and the angle made by it with respect to the principal axis is α rad. The value of α is π/n rad, where n is _______.
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