Concave Mirror Acceleration – Rankers Physics

Reflection by Spherical Mirrors: Practice Problem & Solution

Assertion (A): For a Concave mirror, if object is made to accelerate uniformly toward the mirror from infinity, then its image will also show uniform acceleration in opposite direction. Reason (R): Concave mirror may act as a diverging mirror.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Reflection by Spherical Mirrors. Understanding the underlying formula is key to arriving at the correct answer below:

For a concave mirror, the image acceleration is not uniform, as magnification \(m = -v/u\) changes non-linearly with object position (u).
Thus, (A) is false.
A concave mirror is a converging mirror. It acts as a diverging mirror only when the object is placed between the pole and focus, forming a virtual, erect, and magnified image. However, in general context, it's not a diverging mirror. Thus, (R) is also false.
Therefore, both (A) and (R) are false.

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