Question

Interactive Solution 26.117 offers help in modeling this problem. A camera is supplied with two interchangeable lenses, whose focal lengths are 35.0 and 150.0 mm. A woman whose height is 1.80 m stands 10.00 m in front of the camera. What is the height (Including sign) of her image on the film, as produced by each of the following. (a) the 35.0 mm lens (b) the 150.0 mm lens

Answer 1

1/f = 1/di + 1/do, Magnification = -di/do = hi/ho

for a)
f = .0350 m , h(object) = 1.80 m , do= 1000 m

1/.0350 m = 1/10.00 m + 1/di

di = .0362 m

M= -.0362 m/10.00m = h(image)/1.80 m

hi = -.00651 m

for b)
f = .1500 m , do = 10.00 m , ho=1.80 m

1/.1500 m = 1/ 10.00m + 1/di

di = .1522 m

M = -.1522m/10.00m = hi/1.80m

hi= -.02739