Question

The maximum value of magnification in a convex mirror is:

• A. 2
• B. 1
• C. \( \frac{1}{2} \)
• D. Infinite

Hint:

A convex mirror always forms a virtual, erect, and diminished image with a magnification value between 0 and 1.

Answer 1

The Correct Option is B

Step 1: Understanding magnification in convex mirrors. Magnification (\( m \)) in a convex mirror is given by: \[ m = \frac{-v}{u} \] For a convex mirror: - The image is always virtual, erect, and diminished. - The magnification is always less than 1. - The maximum magnification occurs when the object is at infinity, producing an image at the focal point with \( m = 1 \).
Step 2: Explanation of incorrect options.
- 2: Convex mirrors do not produce magnification greater than 1.
- \(\frac{1}{2}\): It is a possible magnification value but not the maximum.
- Infinite: Only concave mirrors at focal points can give infinite magnification.