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

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 6 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 18 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.)

                   This image will be ____ cm in front or behind the mirror.

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

|magnification| _____

orientation: upright or inverted

Explanation / Answer

Here,

focal length , f = 6 cm

object distance , di = 10 cm

for the seocnd image of the lens , do2 = 18 cm

Using mirror equation

1/f = 1/di + 1/do

1/6 = 1/18 + 1/di

di = 9 cm

the image distance from the mirror is 9 cm in front of the mirror.

magnification = di/do

magnification = 9/6

magnification = 1.5

the magnification of the mirror is 1.5

as the image is real , the orientation is inverted

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