Question

A certain slide projector has a 100 mm focal length lens. (a) How far away is the screen, if a slide is placed 103 mm from the lens and produces a sharp image? (b) If the slide is 24.0 by 36.0 mm, what are the dimensions of the image? Explicitly show how you follow the steps in the Problem-Solving Strategy for lenses.

Answer #1

Focal Length of lens, f= 100mm

Distance of slide from lens, u= 103mm

Let distance of screen from lens be "v", then using Lens Equation,

1/f= 1/v+ 1/u

1/v= 1/f - 1/u

v = uf/u - f

using given values in above,

[v= (100)(103)/{103-100}= 3433.334mm= 3.43 m (ANS)

b). In this we'll use the formula of magnification in which if "I" is the size of image and "O" is the size of object then

[\frac{I}{O}= \frac{-v}{u}]

using given and calculated values in above,

[\frac{I}{24.0 by 36.0mm}= \frac{-3433.33}{103}]

[I= 799.99by 1199.99mm= 0.799 by 1.199 m]

Problem 6
Part 1
A certain slide projector has a 100 mm focal length lens. (a)
How far away is the screen, if a slide is placed 103 mm from the
lens and produces a sharp image? (b) If the slide is 24.0 by 36.0
mm, what are the dimensions of the image?
Part 2
A doctor examines a mole with a 15.0 cm focal length magnifying
glass held 13.5 cm from the mole (a) Where is the image? (b)...

The projection lens in a certain slide projector is a single
thin lens. A slide 24.4 mm high is to be projected so that its
image fills a screen 1.88 m high. The slide-to-screen distance is
2.90 m. (Enter your answers to at least one decimal place.)
(a) Determine the focal length of the projection lens (mm)
(b) How far from the slide should the lens of the projector be
placed to form the image on the screen (mm)?

How far from a 38.0-mm-focal-length lens must an object be
placed if its image is to be magnified 2.50× and be real?
How far from a 38.0-mm-focal-length lens must an object be
placed if its image is to be magnified 2.50× and be virtual?

A lens for a 35-mm camera has a focal length given by f
= 71 mm.
(a) How close to the film should the lens be placed to form a
sharp image of an object that is 6.7 m away?
____mm
(b) What is the magnification of the image on the film?

A) How far from −53.0-mm-focal-length lens must an object be
placed if its image is to be magnified 2.50× and be virtual? Follow
the sign conventions.
[Hint: Consider real objects and virtual objects (formed
by some other piece of optics).]
b) How far from −53.0-mm-focal-length lens must an object be
placed if its image is to be magnified 2.50× and be real? Follow
the sign conventions.
[Hint: Consider real objects and virtual objects (formed
by some other piece of optics).]

A slide projector needs to create a 90-cm-high image of a
2.0-cm-tall slide. The screen is 250 cm from the slide.
What focal length does the lens need? Note the sign convention
and indicate + or –
How far should you place the lens from the slide?

How far from a 40.0 −mm−mm -focal-length lens must an object be
placed if its image is to be magnified 4.00 ×× and be real?
What if the image is to be virtual and magnified 4.00×4.00×?

A microscope's objective lens has focal length 6.71 mm and is
being used to produce an image of a bacterium (the object). The
bacterium is located 9.98 mm from the objective lens. The eyepiece
lens has focal length 198 mm. How far away must the eyepiece lens
be placed in order for the image produced by the objective lens to
fall directly onto the eyepiece's focus (the one near the objective
lens)?

How far from a 42.0 mm focal-length lens must an object be
placed if its image is to be magnified 2.90× and be real?
What if the image is to be virtual and magnified 2.90×?

A lens for a 35-mm camera has a focal length given by f
= 40mm .
Part A
How close to the film should the lens be placed to form a sharp
image of an object that is 5.7m away?
Express your answer using two significant figures.
di =
mm
Part B
What is the magnification of the image on the film?
Express your answer using two significant figures.
m =

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