The lens of a slide projector has a focal length of 10.0 cm.It is used to project the image of a 35 mm slide (24 mm $\times$ 36 mm)on a square screen located 6.0 m away.Of the following screen widths,which is the smallest that would allow the image to fit?
A) 5.1 m
B) 4.4 m
C) 2.2 m
D) 1.1 m
E) 0.88 m

Question

Quizplus · Accepted Answer

To determine the screen width, we can use the formula:

screen width = (image distance * slide width) / focal length

The image distance is the distance between the lens and the screen, which is 6.0 m. The slide width is 24 mm. Plugging in these values, we get:

screen width = (6.0 m * 24 mm) / 10.0 cm

Converting units, we get:

screen width = 1.44 m

Therefore, the smallest screen width that would allow the image to fit is 2.2 m, which is choice (C).

The Lens of a Slide Projector Has a Focal Length ×\times×

The Lens of a Slide Projector Has a Focal Length $\times$