Two converging lenses having focal lengths of f1 = 11.6 cm and f2 = 20.0 cm are

Question

Two converging lenses having focal lengths of f1 = 11.6 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in the figure below. The final image is to be located between the lenses, at the position x = 30.9 cm indicated./

(a) How far to the left of the first lens should the object be positioned in cm?

(b) What is the overall magnification of the system?

Two converging lenses having focal lengths of f1 = 11.6 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in the figure below. The final image is to be located between the lenses, at the position x = 30.9 cm indicated./ (a) How far to the left of the first lens should the object be positioned in cm? (b) What is the overall magnification of the system?

Explanation / Answer

let object distance be u1

f1=11.6; f2=20

d= 50

v2 = 30.9-50

by lens formula,

(1/v1)-(1/u1) = 1/f1

u2 = v1-50

(1/v2)-(1/u2)=1/f2

solving these equations,

a) u1 = -16.3 cm

object should be positioned 16.3 cm to the left of first lens.

b) m1 = v1/u1

m2 = v2/u2

m = m1*m2

m = -4.825

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