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(D) The incident ray $XY$ is directed towards the pole $P$ of the concave mirror,but it strikes the mirror at point $Y$ between the focus $F$ and the

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$4$

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(D) The incident ray $XY$ is directed towards the pole $P$ of the concave mirror,but it strikes the mirror at point $Y$ between the focus $F$ and the pole $P$. According to the laws of reflection,the angle of incidence equals the angle of reflection with respect to the normal at the point of incidence. For a concave mirror,if an object is placed between the focus $F$ and the pole $P$,the image formed is virtual,erect,and magnified. This implies that the reflected rays must appear to diverge from a point behind the mirror. Looking at the geometry of the rays,ray $4$ is the only ray that is diverging away from the principal axis in a manner consistent with the reflection of a ray originating from an object placed between $F$ and $P$. Therefore,ray $4$ is the correct reflected ray.

The figure shows a small concave mirror with $CP$ as its principal axis. $A$ ray $XY$ is incident on the mirror. Which of the four rays can be the reflected ray?

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