An object is placed 13 cm in front ofa concave mirror whose focal length is 19cm

Question

An object is placed 13 cm in front ofa concave mirror whose focal length is 19cm. The object is 3.29 cm tall. Using aray diagram drawn to scale, measure the location and the height ofthe image. The mirror must be drawn to scale. Location of image__________cm height of image __________ cm An object is placed 13 cm in front ofa concave mirror whose focal length is 19cm. The object is 3.29 cm tall. Using aray diagram drawn to scale, measure the location and the height ofthe image. The mirror must be drawn to scale. Location of image__________cm height of image __________ cm

Explanation / Answer

An object is placed 13 cm in front ofa concave mirror whose focal length is 19cm. The object is 3.29 cm tall. Using aray diagram drawn to scale, measure the location and the height ofthe image. The mirror must be drawn to scale. Location of image__________cm height of image __________ cm
object distance=u=13cm
focal length=19cm
we have the mirror equation 1/u+1/v=1/f
where u=object distance and v= image distance f= focal length
here in this situation u= -13cm
and f= -19cm
so
1/v=1/f-1/u=1/-19-1/-13=-1/19+1/13=>v=41cm
location of the image=41cm on the back side of the mirror
magnification=-v/u=-41/-13=3.16
so height of the image=
magnification*size of the object=3.16*3.29=10.3964cm

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