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Magnification of mirror is +2/3, the typ...

Magnification of mirror is +2/3, the type of mirror is :

A

Concave

B

Plane

C

Convex

D

Combination of all

Text Solution

AI Generated Solution

The correct Answer is:
To determine the type of mirror based on the given magnification of +2/3, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Magnification**: Magnification (m) is defined as the ratio of the height of the image (h') to the height of the object (h). Mathematically, it is expressed as: \[ m = \frac{h'}{h} \] 2. **Identify the Sign of Magnification**: The given magnification is +2/3. A positive magnification indicates that the image formed is erect (upright) relative to the object. 3. **Analyze the Magnitude of Magnification**: The magnitude of the magnification is less than 1 (|m| < 1). This means that the image is smaller than the object. 4. **Determine the Type of Mirror**: - **Concave Mirror**: Can produce both real and virtual images. Virtual images are erect and can be larger or smaller than the object depending on the position of the object. - **Convex Mirror**: Always produces virtual images that are erect and diminished (smaller than the object). - **Plane Mirror**: Produces images that are the same size as the object (magnification = 1). 5. **Conclusion**: Since the magnification is positive (indicating an erect image) and less than 1 (indicating a diminished image), the only type of mirror that fits this description is a **convex mirror**. ### Final Answer: The type of mirror is a **convex mirror**. ---
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