Correct Option: (d) Assertion (A) is false and Reason (R) is false.
Step 1 (Governing Principle): [0.25 Mark]
According to the lens formula for a convex lens, where an object is placed between $f$ and $2f$ ($f < u < 2f$):
$$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$$For $f < u < 2f$, the image formed is real, inverted, and magnified, located beyond $2f$ on the other side of the lens.
Step 2 (Analysis of Assertion and Reason): [0.5 Mark]
- Assertion (A): A real image is formed by the actual intersection of light rays. Even if the physical screen is removed, the rays still converge at the point in space where the image is formed. Therefore, the image still exists in space; the screen only makes it visible to the eye. Thus, the statement "image is not formed" is false.
- Reason (R): Since the image formed is real, the refracted rays do converge at a specific point in space beyond $2f$. The statement that they "do not converge" is false.
Step 3 (Final Conclusion): [0.25 Mark]
Since both the Assertion and the Reason are scientifically incorrect based on the principles of geometrical optics, the correct choice is (d).
💡 EL10 Concept Insight: Think of a real image like a meeting point for light rays; even if you take away the piece of paper (the screen) you were using to catch them, the rays still meet at that exact spot in the air, so the image is still "there"—you just can't see it clearly without something to scatter the light into your eyes!