Two parallel, vertical, plane mirrors, 26.9 cm apart, face each other. A light s

Question

Two parallel, vertical, plane mirrors, 26.9 cm apart, face each other. A light source at point P is 21.8 cm from the mirror on the left and 5.1 cm from the mirror on the right.

(a) How many images of point P are formed by the mirrors? (I've already answered this, it was "infinite number of images")

(b) Find the distance from the mirror on the right to the two nearest images behind the mirror.

Find the nearest image = ? Second nearest image = ?

(c) Find the number of reflections of light rays for each of these images.

Find the nearest image = ? Second nearest image = ?

Explanation / Answer

a) infinite images .

b)    first nearest image =   5.1 cm

      second nearest image = 26.9 + 21.8

                                           = 48.7 cm

Image I1 is the image resulting from the reflection of the object O across mirror M1 and image I2 is the image resulting from the reflection of the object O across mirror M2. Image I3 is an image of image I1, found by reflecting image I1 across mirror M2. Image I4 is an image of image I2; found by reflecting image I2 across mirror M1.

c) number of reflections of light rays for each of these images

   => first nearest image = 1

    => second nearest image = 2

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