Calculating Object-Lens Distance for Diverging Lens Optics

[slaw155]

Diverging lens has focal length 6mm and image magnification 0.5. What is the distance between object and lens?

I used the fact that distance image to lens/distance object to lens = 0.5 and the lens maker formula with f=-6 and combined the two formula but this gives distance = 18mm, when answer is in fact 6mm.
Where have I gone wrong?

 

[ehild]

Diverging lens has focal length 6mm and image magnification 0.5. What is the distance between object and lens?

I used the fact that distance image to lens/distance object to lens = 0.5 and the lens maker formula with f=-6 and combined the two formula but this gives distance = 18mm, when answer is in fact 6mm.
Where have I gone wrong?

Show your work. Take care of the signs.

ehild

 

[slaw155]

thanks solved it