A concave spherical mirror forms an inverted image 4.00 larger than the object.

Question

A concave spherical mirror forms an inverted image 4.00 larger than the object. Assuming the distance between object and image is 0.500, find the focal length of the mirror. The magnification gives a relationship between p and q. If you know the distance between the object and image, how do you determine the individual values of p and q? m Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror. -1/3 m

Explanation / Answer

here,

let the image distance and the object disatnce be di and do

-di /do = - 4

di/do = 4 ...(1)

and

di - do = 0.5 ...(2)

from (1) and (2)

do = 0.1667 m , di = 0.667 m

let the focal length be f

1/f = 1/di + 1/do

1/f = 1/0.667 + 1/0.16

f = 0.13 m

the focal length of the mirror is 0.13 m

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