Question

Can someone explain to me how to do this problem ?​

Answer 1

The image distance is 13.3 cm ⇒ answer B

Step-by-step explanation:

* Lets study the information in the problem

- The distance between the object and the convex lens is 40.0 cm

- The lens focuses light at a distance of 10.0 cm

- The equation of the image distance is
`d_(i)=(d_(o)f)/(d_(o)-f)`

where di is the image distance, do is the object distance and f is the

distance of the focuses lens

* Lets solve the problem

∵ do = 40.0 cm

∵ f = 10.0 cm

∵
`d_(i)=(d_(0)f)/(d_(o)-f)`

- Substitute the values of do and f in the equation

∴
`d_(i)=((40.0)(10.0))/((40.0)-(10.0))=(400.0)/(30.0)=(40)/(3)`

∴ di = 13.3333 ≅ 13.3 cm

* The image distance is 13.3 cm