Explanation:

When a particle moves towards a fixed spherical mirror, the behavior of the image formed depends on the type of mirror - whether it is convex or concave.

Convex Mirror:

A convex mirror is a diverging mirror, which means that it spreads out the reflected rays of light. In this case, the image formed by the convex mirror is always virtual, erect, and diminished in size. When the particle moves towards a convex mirror, the virtual image formed by the mirror will also move towards the mirror. This is because the virtual image appears to be formed behind the mirror, and as the particle moves closer to the mirror, the image also moves closer to the mirror.

Concave Mirror:

A concave mirror is a converging mirror, which means that it brings the reflected rays of light together. The behavior of the image formed by a concave mirror when the particle moves towards the mirror depends on its position with respect to the focal point.

1. If the particle is beyond the focal point, the image formed by the concave mirror is real, inverted, and diminished in size. In this case, when the particle moves towards the mirror, the real image will move away from the mirror. This is because the real image is formed in front of the mirror and as the particle moves closer to the mirror, the real image moves away from the mirror.

2. If the particle is between the focal point and the mirror, the image formed by the concave mirror is virtual, erect, and enlarged. In this case, when the particle moves towards the mirror, the virtual image will also move towards the mirror. This is because the virtual image appears to be formed behind the mirror, and as the particle moves closer to the mirror, the image also moves closer to the mirror.

Conclusion:

Based on the above explanation, it can be concluded that the image formed by a particle moving towards a fixed spherical mirror will move towards the mirror only if the mirror is convex. In the case of a concave mirror, the image can either move away from the mirror or towards the mirror depending on the position of the particle with respect to the focal point.