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A concave mirror has a focal length of 30.0 cm. The distance between an object and its image is 45.0 cm. Find the object and image dis- tances, assuming that (a) the object lies beyond the center of curvature and (b) the object lies between the focal point and the mirror.

Respuesta :

Answer:

object and image distances when object lies beyond center of curvature is 90 cm

object and image distances when object lies between focal point and mirror is 15 cm

Explanation:

given data

focal length f = 30.0 cm

distance between object and image = 45.0 cm

to find out

object and image distances

solution

we will apply here lens formula that is

(1/v) + (1/u) = (1/f)   .................1

and here v - u = 45

so v = 45 + u       ...............2

so from equation 1

(1/(45+u)) + (1/u) = (1/30)

solve it we get u

u = 45 cm or -30 cm

so from equation 2

v = 45 + u

v = 45 + 45

v = 90 cm

object and image distances when object lies beyond center of curvature is 90 cm

and

v = 45 -30

v = 15 cm

object and image distances when object lies between focal point and mirror is 15 cm

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