Object and Image Velocity in Concave Mirror – Rankers Physics
Topic: Ray Optics
Subtopic: Reflection by Spherical Mirrors

Object and Image Velocity in Concave Mirror

Assertion (A): If an object moves in front of a concave mirror parallel to principal axis. The angle between the object velocity and image velocity can never be acute.
Reason (R): Object velocity and image velocity perpendicular to principal axis for spherical mirror is not same.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

If an object moves along the principal axis, its image also moves along it, with velocities always anti-parallel (angle \(180^\circ\)), so (A) is true. Perpendicular components of velocity are related by \(v_{iy} = m v_{oy}\), where magnification \(m\) is generally not 1, so (R) is true. (R) does not explain (A).

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