Final answer:
A man standing 4 cm away from a plane mirror will see his image 6 cm away if the mirror is moved 1 cm towards him, due to the laws of reflection.
Step-by-step explanation:
The question is related to the principles of optics and reflection as applied to a plane mirror. Initially, the man is standing 4 cm in front of the mirror. When the mirror is moved 1 cm toward the man, it is now only 3 cm away from him. For a plane mirror, the distance from the object to the mirror is the same as from the mirror to the image. Therefore, if the mirror is now 3 cm away, the image is 3 cm behind the mirror. So, the total distance between the man and his new image is twice the distance between him and the mirror after it's moved, which is 3 cm + 3 cm, totaling 6 cm.