The equation connecting s, p, and f for a simple lens can be employed for spheri

Question

The equation connecting s, p, and f for a simple lens can be employed for spherical mirrors, too. A concave mirror with a focal length of 3 cm forms an image of a small object placed 10 cm in front of the mirror. If the mirror is used to form an image of the same object now located 23 cm in front of the mirror, what would the new image position be? (For spherical mirrors, positive p means the image is on the same side of the mirror as the object.)

The image will be _?_ cm (Infront or behind) the mirror?

Assuming that the magnification equations developed for lenses also apply to mirrors, describe the image (magnitude of magnification and orientation) thus formed. |magnification| orientation

Explanation / Answer

By mirror formula

1/v = 1/ f - 1/u

1/v = -23 - (-3)/ 23× 3 = -20 / 69

v = -3.45 cm

Magnification m = -v/u

= -( -3.45 ) / (- 23 ) =- 0.15

The image formed is 3.45 cm infront of the mirror and is diminished by a factor of 0.15 and it is inverted .

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