A beam of light parallel to the principal axis of a concave and convex lens, first passes through the concave lens of focal length 0.5 m and then through the convex lens of focal length 1.75 m . If the lenses are placed 1.25 apart, which of the given statement is true?

Step-by-step solution

Let the focal length of the concave lens be f₁ = -0.5 m and the focal length of the convex lens be f₂ = 1.75 m. The distance between the lenses is d = 1.25 m. A beam of light parallel to the principal axis incident on the concave lens will appear to diverge from its focus, which is at a distance of 0.5 m in front of the concave lens. Thus, the virtual object for the convex lens is located at a distance u = -(d + |f₁|) = -(1.25 + 0.5) = -1.75 m from the convex lens. Using the lens formula for the convex lens: 1 v -