Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

. A 135 mm telephoto lens for a 35 mm camera has $f$ -stops that range from $f / 2.8$ to $f / 22$ . (a) What are the smallest and largest aperture diameters for this lens? What is the diameter at$f / 11 ?$ (b) If a 50 $\mathrm{mm}$ lens had the same $f-$ stops as the telephoto lens, what would be the smallest and largest aperture diameters for that lens? (c) At a given shutter speed, what is the ratioof the greatest to the smallest light intensity of the film image? (d) If the shutter speed for correct exposure at $f / 22$ is 1$/ 30$ s, what shutter speed is needed at $f / 2.8 ?$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

a) 12.27 $\mathrm{mm}$b) 17.86 $\mathrm{mm}$c) 62d) $\frac{1}{1860} s$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Optical Instruments

Electromagnetic Waves

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

03:29

A $135 \mathrm{~mm}$ telep…

03:24

Problem 3:A 35-mm came…

03:35

A camera lens has a focal …

01:43

01:34

A lens for a $35-\mathrm{m…

05:02

When a camera with a 50 -…

03:12

A certain camera has $f$ -…

02:07

(I) A 55 -mm-focal-length …

00:33

What is the $f$ -number of…

All right. So the equation ah, to first use is this the f number or fo ver n ratio is equal to focal length over diameter. Okay. And so this is just of F to an ratio, so F stops of two point eight would mean this is to point a similarly f stop of 22 would mean that this is 22. Okay, um so So in part A, we find the minimum d for F enough numbers so we can rewrite this equation d equals. So going past over after number or after an ratio, by the way this happened Not effort, Not the same thing. Just just just so you know. So the minimum d, um, will occur when ah, this f to end when the denominator is the largest rate. So this F to enrage us to be 22. So it is what, first of all, focal length is 1 35 millimeters, and then you divide that by 22 and so minimum diameter is 6.1 and max diameter is again 1 35 millimeters this time over 2.8. Because that's the lower denominator value. And so this would give you 48 for me. Did Max on that's millimeters and millimeters. Ah, and so for F over 11 that's that means F two and ratio is 11 on DH. So for that you have d equals 1 35 over 11. And so it's 12 millimeters roughly, um, great and part B. We have something similar. Um, the focal length is changing. So same formula, but with a different numerator. So demon will be 50 over 22. So that's 2.3 millimeters, and D Max will be 50 over two point a. So that's 18 millimetres. Great on part, Siri. We used the idea that expose it O r in an intensity, um, or the ratios of two intensities. Um, in this case, Basia of maximum two minimum intensities will be proportional to the ratio of of their areas. So hey, Max, over amen. And so that is equal to D Max over D men. Um, because area is just pie times diameter squared over four. And so the pie and for a constant and will cancel out between when you take ratios. So it's NEMAX every demon squared because the D squared Ah, and so Ah, we have. Of course. The max is 22 and do manis 2.8. Ah, And so you square that you get 62 as the as the ratio. Ah, and in part due, it's his last page here apart. Dean, we're using the idea that exposure time is inversely proportional. Personal toe one over ab our ministry proportional tech area. Therefore, a T men over tea Max is just his ratio off the amen over a max. So amen. Over a max from bloops am That will be a max over a men. Pardon me, Maxim Raymond, because times are inversely proportional. Okay? And so that is just D Max over demon squared. It's like the last part. Therefore, the maximum time is team en Times demon over D max squared. And so this is one over 30 seconds times Ah, 2.8 over 22 square. And so that gives us one over 1,900 seconds for maximum time, which is close to one over 2,000 seconds.

View More Answers From This Book

Find Another Textbook

07:42

A box slides down a frictionless ramp that is mounted on frictionless wheels…

06:53

Question 10(a) The rotor is an amusement Park ride where people stand ag…

06:18

1.00 kg object slides to the right on surface having a coefficient of kineti…

02:19

1.A horizontally directed force of 200 N is used to pull a box distance of 5…

05:12

A spherical capacitor with a 2.0 mm gap between the shells has capacitance o…

02:48

An electron is projected vertically with an initial velocity Va - 107 m/s fr…

01:33

The second spectral line in the Balmer series in the hydrogen spectrum, call…

02:24

What is the mass of the meter stick shown in the figure?0 cm25 cm

12:22

straight infinite current exists as shown_ has steadily increasing current: …

02:23

Spaced Praciice Three forces B and C, are acting upon the same object initia…