Physics · Reflection of light, spherical mirrors, mirror formula

A man of height wants to see his complete image in the mirror (while standing) H

A man of height \( 170 \mathrm{cm} \) wants to see his complete image in the mirror (while standing) His eyes is at a height of 160 \( \mathrm{cm} \) from the ground

  • A. Minimum length of the mirror =80 cm
  • B. Minimum length of the mirror =85 cm
  • C. Bottom of the mirror should be at a height \( 80 \mathrm{cm} \)
  • D. Bottom of the mirror should be at a height \( 85 \mathrm{cm} \)

Step-by-step solution

To see the complete image, the mirror must extend from the midpoint between the eyes and the feet (80 cm) to the midpoint between the eyes and the top of the head (165 cm), giving a length of 85 cm. This is half the person's height.
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