Question

Please show work, Im trying to study

Chapter 34, Problem 082 GO Your answer is partially correct. Try again. Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to which is at obiect distance Pr Lens 2 is mounted within the farther boxed region, at distance d. For this problem, ρ.-9.4 cm lens 1 is diverging 12 cm, and lens 2 is converging. The distance between the lens and either focal point is 5.2 cm for lens 1 and 6.1 cm for lens 2. (You need to provide the proper sign) Find (a) the image distance i2 for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnification Mfor the system, including signs. Also, determine whether the final image is (c) real or virtual, (d) inverted from abject O r noninverted, and (e) on the same side of lens 2 as object O or on the opposite side Lens 1 Lens 2 2 RN IANI Side P1 +9.4 12 C, 6.1 D, 5.2 (a) Numbe cm (b) Number Units |This answer has no units (d)inverted opposite+ Click if you would like to Show Work for this question: Open Show Work

Answer 1

for lens 1 ,

p₁ = 9.4 cm

q₁ = ?

f₁ = - 5.2 cm

1/p₁ + 1/q₁ = 1/ f₁

1/9.4 + 1/q₁ = -1/5.2

q₁ = - 3.347 cm

M = - q₁/p ₁

= 3.347 / 9.4

M = 0.356

for lens 2 :

p₂ = 12 + 3.347 = 15.347 cm

f₂ = 6.1 cm

q₂ = 10.12 cm

M₂ = - q₂ / p₂

= - 10.12 / 15.347

M₂ = - 0.659 cm

a )

final image distance q₂ = 10.12 cm

b )

total magnification is M = M₁ M₂

= 0.356 x ( - 0.659 )

M = - 0.2347

c )

it is real

d )

and image is inverted

e )

opposite side