Question

A child is standing in front of a magic mirror. She finds the image of her head bigger, the middle portion of her body of the same size and that of the legs smaller. The following is the order of combinations for the magic mirror from the top:

• A. Plane, convex and concave
• B. Convex, concave and plane
• C. Concave, plane and convex
• D. Convex, plane and concave

Hint:

Remember the unique identifying feature of each mirror for close objects:
- Enlarged \(\to\) Concave mirror
- Same size \(\to\) Plane mirror
- Diminished \(\to\) Convex mirror

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The question describes a child observing her reflection in a composite "magic mirror."
The mirror consists of three different sections from top to bottom, each producing a different image characteristic:
- The head appears bigger (magnified).
- The middle body appears of the same size.
- The legs appear smaller (diminished).
We need to identify the types of mirrors in order from top to bottom.

Step 2: Key Formula or Approach:
We analyze the image-forming properties of three basic types of mirrors: concave, plane, and convex.

Step 3: Detailed Explanation:

• Top Section (Head appears bigger): A concave mirror, when an object is placed close to it (within its focal length), forms a virtual, erect, and magnified image. This explains why her head appears larger.

• Middle Section (Same size): A plane mirror always forms a virtual, erect, and same-sized image of an object at any distance. This explains why the middle portion of her body appears normal.

• Bottom Section (Legs appear smaller): A convex mirror always forms a virtual, erect, and diminished image of an object. This explains why her legs appear smaller.

• Combining these observations from top to bottom, the combination of mirrors must be concave, plane, and convex.


Step 4: Final Answer:
The correct order from the top is Concave, plane and convex.