Subjective Type

An object $$2\ cm$$ in size is placed $$30\ cm$$ in front of a concave mirror of focal length $$15\ cm$$. At what distance from the mirror should a screen be placed in order to obtain a sharp image? What will be the nature and the size of the image formed? Draw a ray diagram to show the formation of the image in this case.

Solution

u= -30

h= 2

F= -15

1/v+1/u=1/F

1/v=1/F-1/u

1/v=1/-15 -1/-30

1/v=1/-15+1/30

1/v=-15+30/-450

1/v=15/-450

v=-450/15

v=-30cm

m=h'/h=-v/u

h'/2=-(-30)/-30

h'/2=30/-30

-30h'=60

h'=60/-30

h'=-2cm

The image is real and inverted. The size of image is equal to the object size.

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