What is the image distance for a concave mirror using the mirror equation?

AI Thread Summary
The discussion focuses on calculating the image distance for a concave mirror using the mirror equation. Given an object distance (do) of 2 cm and a focal length (f) of 4 cm, the calculation leads to an image distance (di) of -4 cm. A negative image distance indicates that the image is virtual and located behind the mirror, which aligns with the sign convention used. Participants confirm that a negative result for image distance is acceptable in this context. The conclusion affirms the understanding of virtual images in concave mirrors.
toothpaste666
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Homework Statement


mirrorq.png

B) Using the mirror equation, find the image distance.

Homework Equations


1/do + 1/di = 1/f

The Attempt at a Solution


mirrorrays.png
[/B]
B)
do = 2cm f = 4cm
1/do + 1/di = 1/f
1/di = 1/f - 1/do
1/di = do/f(do) - f/f(do)
1/di = (do-f)/(f*do)
di = (f*do)/(do-f) = (4cm * 2cm)/(2cm - 4cm) = (8cm^2)/(-2cm) = -4cm
di = -4cm

 
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is it ok that my image distance came out negative? if i am correct this is fine if the image is behind the mirror
 
It is correct, the distance of a virtual image is negative in the frame of sign convention you applied.
 
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thank you!
 
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