JAMB 2012 Physics · Question 6
After reflection from the concave mirror, rays of light from the sun converges
Options
- A.at the radius of curvature
- B.at the focus
- C.beyond the radius of curvature
- D.between the focus and radius of curvature
Answer: B. at the focus
Explanation written with AI and checked against the answer key
Step 1: Analyze the question The question asks where light rays from the sun meet after reflecting from a concave mirror.
Step 2: Explain the concept The sun is so far away that the rays reaching the mirror are effectively parallel to each other. This is the same as an object at infinity.
For a concave (converging) mirror, a parallel beam of light parallel to the principal axis is reflected so that it passes through one point called the principal focus (F).
The mirror formula confirms this:
1/f = 1/u + 1/v
With the object at infinity, u → ∞, so 1/u → 0. This gives:
1/f = 1/v, so v = f
The image forms at a distance equal to the focal length, which is the focus.
Step 3: Check the other options
- A. At the radius of curvature (C): The image is here only when the object is at C, not at infinity. Since R = 2f, this is twice as far as the focus.
- C. Beyond the radius of curvature: This happens when the object is between F and C.
- D. Between the focus and radius of curvature: This happens when the object is beyond C.
- B. At the focus: This is correct for parallel rays from a distant object like the sun.
Step 4: Answer The rays converge at the focus, which is option B.
Tip: Sun, stars, or any "very distant object" means parallel rays, and parallel rays on a concave mirror mean the image is at F. This is also why a concave mirror can focus sunlight to start a fire, and it is how solar cookers work.
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