Consider a concave mirror with a focal length of 12.78 cm. a.) find the image di

Question

Consider a concave mirror with a focal length of 12.78 cm. a.) find the image distance when the object distance is 12.78 cm. (Answer with -1000 if the image does not exist.) b.) find the image distance when the object distance is 6.39 cm. (Answer with -1000 if the image does not exist.) c.) find the magnification of the image for part b). (Answer with -1000 if the image does not exist.) Consider a concave mirror with a focal length of 12.78 cm. a.) find the image distance when the object distance is 12.78 cm. (Answer with -1000 if the image does not exist.) b.) find the image distance when the object distance is 6.39 cm. (Answer with -1000 if the image does not exist.) c.) find the magnification of the image for part b). (Answer with -1000 if the image does not exist.) a.) find the image distance when the object distance is 12.78 cm. (Answer with -1000 if the image does not exist.) b.) find the image distance when the object distance is 6.39 cm. (Answer with -1000 if the image does not exist.) c.) find the magnification of the image for part b). (Answer with -1000 if the image does not exist.)

Explanation / Answer

(a)

The relation between focal length f , object distance do and image distand di is ,

1 /f = 1/ do + 1/ di

1 /12.78 = 1/ 12.78 + 1/ di

Solve for di

di = infinity.

As the image distance is infinite answer is -1000

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(b)

The relation between focal length f , object distance do and image distand di is ,

1 /f = 1/ do + 1/ di

1 /12.78 = 1/ 6.39 + 1/ di

Solve for di

di = -12.78 cm

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(c)

Magnification of the image is m = di / do = 12.78 / 6.39 = 2

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