Two thin lenses, the first diverging with focal length of magnitude 40.0 cm and the second converging with focal length of magnitude 60.0 cm, are located 300.0 cm apart. An object 1.2 cm tall is placed 50.0 cm to the left of the first (diverging) lens. Find the position, size, and orientation of the image produced by the lenses in combination

Respuesta :

Answer:

image is 73.72 cm of right of conversing lens

image is inverted and size = 0.228 × 1.2

size of image = 0.2736 cm

Explanation:

Given data

focal length f1 = 40.0 cm

focal length f2 = 60.0 cm

tall = 1.2 cm

p =  50.0 cm

to find out

position, size, and orientation of the image

solution

we consider here diverging lens

we apply first lens formula that is

1/f = 1/q - 1/p

put here value

q = -1/50 - 1/40

q = - 22.22 cm

we know for conversing objective distance  = - 300 - 22.22

conversing objective distance p2 = - 322.22 cm

for f2

q = 1/f2 + 1/p2

q = 1/60 - 1/322.22

q = 73.72 cm

image is 73.72 cm of right of conversing lens

and

so magnification

M = q / p2

M = -  73.72 / 322.22

M = - 0.228

so image is inverted and size = 0.228 × 1.2

size of image = 0.2736 cm