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  4. A person AB of height 170 cm is standing in front of a vertical plane mirror. His eyes are at height 164 cm from ground. At what distance from P should a hole be made in the mirror so that he cannot see the top of his head?

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Q. A person $AB$ of height $170 cm$ is standing in front of $a$ vertical plane mirror. His eyes are at height $164 cm$ from ground. At what distance from P should a hole be made in the mirror so that he cannot see the top of his head?Physics Question Image

Ray Optics and Optical Instruments

Solution:

To see top of head, a ray should start from top of head and enter the eye as shown. If that point of incidence of mirror is punched, the head cannot be seen. From the ray diagram the hole has to be punched on mirror at $3 cm$ from top end

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