four-camera-lenses-have-the-following-focal-lengths-and-f-numbers-rank-these-lenses-in-order-of-incr

Question

Four camera lenses have the following focal lengths and
$f$ -numbers:
Rank these lenses in order of increasing aperture diameter. Indicate ties where appropriate.

Nathan Silvano · Accepted Answer

so and this problem. We have a table and we need to rank all the diameters that featured a emitter off this off this lens. And we know that the F number is just the Rachel off a focal end. Bye, the Future Day emitter. So if we want to rank all the lens we need to discover, do they emitter off each lens? So first of all, let&#x27;s calculate the emitter off the lens. Hey, this is going to be 150. The limiters divided by one point two. This is going to be a growth, too warm, 100 and 30 millimeters. Did diameter off the lens be? It&#x27;s just going to be, well, 50 limiters divided by 5.6. So this is equals two 27. That&#x27;s we write this. It&#x27;s going to be good with 20 seven millimeters and the diameter off the lens. See, it&#x27;s just going to be 35 divided by 1.2. That&#x27;s equal to you. 29 millimeters and let&#x27;s put in here do the emitter of the lens D. So the diameter D it&#x27;s just going to be 35 divided by 5.6. It&#x27;s his equals two 6.3 millimeters. So? So let&#x27;s see the answer to rank on Just the emitters. It&#x27;s just going to be. Did I emitter off the sex? Followed by the diameter of B, followed by the diameter off? See? Follow? I did the immature off, eh? And this is the answer to this problem, that&#x27;s all. Thanks for watching.

Dading Chen · Answer

Okay. So for the first question, he was asking us, what is the temperature diameter off the lanes? Well, we noticed for mothers associate with after diamond, which is happening equal to have already afterwards the F number, at least a focal in And these ah, dander of amateur. So the committee good af over Afrin. Okay, we know that the focal Lance Forman question is given us 300 millimeter and, uh, f numbers given us four. How can we conclude it? Because in question was saying that the focal length of an F or four camera lance is 300 millimeters. Okay, which means the phone number. I&#x27;m sorry. F number is people before, so this will give us the aperture diameter is equal to 75 millimeter. Okay. And full question be was asking us what is the correct exposure have over a while? We know that if the F number is increased by a factor Oh, and that means the exposure must be increased, but in square times. Okay, So the factor that is increased between fo four I&#x27;m sorry? Uh, yes. I have all four, always 81 before, because it is increased for F number 42 at number eight. This will give us any by force equal to until square was before is the increased factor. Need exposure? Okay, so we know that the exposure at half over four is the Goto won over 250 seconds. Which means that exposure F O A. Is equal to exposure at of over four, which is 100 over. Ah, 250 seconds times the increasing factor, which is for and this will give us for over 250 seconds, which is one over 250 times 1/4 seconds, which will give us one over 62 point by seconds. Okay. And this Give us we, um Birighitti deeper. You give us two over 120 by seconds. Okay. And this is the answer for the question. Thank you.

Mayukh Banik · Answer

remember that the rise I cried yesterday is that 30? I mean, equals one point to do them the over diamond ID of the dance. Now, if you are focusing f ery to a spot off D, then that becomes your Tedder. So from here, we have d equals F Tedder. So from here, theta is do you ever f So we have d over f equals 1.2 grand over D. We want to find us for this spot size. We want to find the smallest spot size at 5 80 nanometer. So the more this part size we&#x27;ve come out to be 1.2 times five a d nana meter divided by actually times f over d 1.2 time 0.58 my crone. And that issue of focus into the damage is given to be 1.4. So that comes out to be 1.2 times 0.58 times 1.4. It was 0.97 micron. So the diameter it was two micron

Ankit Gupta · Answer

given with two numbers. Mitchell, 11 and 17. We have refined the L C M off 11 and 17 So the calcium off two numbers baby is given by and will be a born greatest common factor, which is G c F off Akama. Be no, we have is equals to 11. B is a quest to 17. So the G c f or we can say greatest common factor off 11 and 17 is equals to one. Therefore Elsie em off 11 Common 17 will be close to 11 in 2 17 upon one. This will be Quito 100 87 a born run. Therefore, l see a move 11 and 17 will be close to 100 and 57.

Surjit Tewari · Answer

question number one. We know that at its stop is given EDS The issue off the focal length upon that diameter, then the focal in is equal to 55 millimeter. And at this stop is as 1.4. Then we can night 1.4 is equal to 55. This is in millimeters divided by that diameter. The one this will give us that diameter. Divan Ah, how did nine millimeters similarly for a when did too begin night 22 is equal to 55 millimeter divided by they do so solving this, we will get they do as 2.5 millimeter. So we can say that that die meter is in between the one and they do or in terms of values that meter is between 2.5 millimeters and 39 millimeter

Abhishek Jana · Answer

So from the definition of f stop, we know that F stop is equal to F over de where everything is the focal length and these the diameter. So from here we can get an expression for Daniel. What is F divided by s stop. So to find the range off the damages, we can used to different range of different values of F stop to find the range. So for F stop equals f over one point four, the diameter should be f over one point four. And in our case, if is given as sixty five millimeters so you can write that down. So sixty five meters divided by one point for and that&#x27;s equal to forty six millimetres. Similarly, for twenty two, it&#x27;s gonna be sixty five millimetres over twenty two, which is equal to three point zero millimeters. So the range off the diameter is from three point zero millimeters too. Forty six millimetres. Thank you

Problem

The focal length of the human eye is approximatel…

Problem 7 Easy Difficulty

Four camera lenses have the following focal lengths and
$f$ -numbers:
Rank these lenses in order of increasing aperture diameter. Indicate ties where appropriate.

Answer

$D_{D}<D_{B}<D_{c}<D_{A}$

Related Courses

Physics

Related Topics

Discussion

Top Physics 103 Educators

Christina K.

Andy C.

Marshall S.

Jared E.

Physics 103 Courses

Wave Optics - Intro

Multiple Aperture Interference - Overview

Recommended Videos

Watch More Solved Questions in Chapter 27

Video Transcript

James S. Walker

Physics

Christina K.

Andy C.

Marshall S.

Jared E.

Wave Optics - Intro

Multiple Aperture Interference - Overview

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

$D_{D}<D_{B}<D_{c}<D_{A}$

Physics

Christina K.

Andy C.

Marshall S.

Jared E.

Wave Optics - Intro

Multiple Aperture Interference - Overview

James S. WalkerPhysics

Christina K.

Andy C.

Marshall S.

Jared E.

James S. Walker

Physics