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(13%) Problem 8: A certain slide projector has a 100 mm focal length lens -.. 33

ID: 2033476 • Letter: #

Question

(13%) Problem 8: A certain slide projector has a 100 mm focal length lens -.. 33% Part (a) How far away is the screen in meters, if a slide is placed 130 mm from the lens and produces a sharp image? Grade Summa Deductions Potential 0% 100% sin0 cotan0asin acos0 atan0 acotan sinh0 cosh0tanh cotanh0 cos Submissions Attempts remaining: 6 (400 per attempt) detailed view *1 23 END Degrees O Radians BACKSPACE Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 33% Part (b) If the slide is 24.0 by 36.0 mm, what is the image's smaller dimension in meters? 33% Part (c) If the slide is 24.0 by 36.0 mm, what is the image's larger dimension in meters?

Explanation / Answer

Solution:-

From the question we have

do = 130 mm

f = 100 mm
Using the equation

1/f = 1/di + 1/do

1/100 = 1/di + 1/130
di = 433.33 mm
di = 0.433 m

(b)
M = -di/do

= - 433.33 / 130
M = - 3.33

24.0 * 3.33

= 79.92 mm
= 0.0799 m

(c)
Larger dimension, 36.0 *3.33

=119.88 mm
=0.119 m