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a technician wishes to produce an image on a wall using a thin lens. The lens to

ID: 1269765 • Letter: A

Question

a technician wishes to produce an image on a wall using a thin lens. The lens to wall distance is to be 6 m. He also wants the image to be the same size as the object. What is the focal length of the lens he will need?

2. When does a concave spherical mirror of radius R and a focal length f produce a real image with a size greater than the object which is at distance p?

3. A thin diverging lens produced an image of magnification 1/5 for an object located 20 cm from the lens. what is the focal length of the lens?

Explanation / Answer

1)

Given image distance q = 6 m

object distance p = 6 m.

The thin lens equation is ,

1/ p + 1/q = 1/ f

1/ f = 1/ 6 + 1/ 6

    f = 3 m

2)

For an object placed in front of a concave mirror such that the distance of object is greater than the focal length of the lens.The image formed will be real, inverted, and magnified.

3)

Given

object distance p = 20 cm

The magnification of the image is

M = (1/ 5 )p

- q/ p = p / 5

q = - p ^2 / 5

     = - (20 cm ) ^2 / 5

     =-80 cm

The focal length of the lens is ,

1/f = 1/ p + 1/ q

     = 1/ 20 cm + 1/ -80 cm

f =26.6 cm