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Assertion : For real objects, image form...

Assertion : For real objects, image formed by a convex mirror always lies between pole and focus.
Reason : When object moves from pole to infinity, its image will move from pole to focus.

A

(a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

(b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason related to the image formation by a convex mirror, we will analyze both statements step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that for real objects, the image formed by a convex mirror always lies between the pole (P) and the focus (F). - In a convex mirror, the image formed is always virtual, upright, and diminished, regardless of the position of the object. 2. **Analyzing the Image Formation**: - When an object is placed in front of a convex mirror, the rays of light diverge after reflecting off the mirror. - The extensions of these diverging rays appear to meet at a point behind the mirror, which is the virtual image. - This virtual image is always located between the pole and the focus of the mirror. 3. **Understanding the Reason**: - The reason states that when the object moves from the pole to infinity, its image will move from the pole to the focus. - As the object moves closer to the mirror (from a far distance towards the pole), the image also moves closer to the mirror. - The image will always remain virtual and will approach the focus as the object approaches the mirror. 4. **Conclusion**: - Both the assertion and the reason are true. - The reason correctly explains the assertion because it describes the behavior of the image as the object moves closer to the mirror. 5. **Final Answer**: - Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
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