Lab 2 Part B Hint: ** Disclaimer: This hint is not to be copied, in whole or in part, unless a proper reference is made as to the source. (It is strongly recommended that you use this document only to generate ideas, or as a reference to explain complex physics necessary for completion of your work.) Copying of the contents of this web site and turning in the material as “original material” is plagiarism and will result in serious consequences as determined by your instructor. These consequences may include a failing grade for the particular lab or a failing grade for the entire semester, at the discretion of your instructor. ** To answer the first section of Part B of Lab 2, there are several things we need to take into consideration. One major factor we need to consider is the field of view of an eyeball. As long as any object (or image) is in our field of view of our eyeball, we can “see” it. If the object (or image) is outside our field of view of our eyeball, we cannot “see” it (or it will appear blurry). Take the following examples: Bair 1 The bungee cord jumper hanging from the bungee cord after jumping off the cliff is in our field of view of our eye. We would be able to clearly see this object since it is included in our field of view in its entirety. Bair 2 In this case, the bungee cord jumper hanging from the bungee cord after jumping off the cliff is NOT in our field of view of our eye, so we would not be able to “see” him in his perilous pursuits – but rather, the aerobics trainer is. - Typical guy example… Don’t believe me … try it. Look at a picture on the wall in your room or something. Now turn around so the picture is no longer in your field of view … can you see it? Not unless you have eyes on the back of your head - freak! Now get a mirror and hold the mirror in your field of view – no the image of the picture behind you is IN your field of view, and guess what, YOU CAN SEE IT! The same thing applies for images produced by thin lenses. If the lines of light emitted from an object all coincide at a specific point in space, they form a sharp image (this image is called a “real” image). If that image is in our field of view of our eye, we can “see” the image. Bair 3 CASE 1 Notice that the convex lens above (according to the ray-diagram) creates a “real” image if the object being viewed through the lens is outside the focal point of the convex lens. The object (located on the far left – and designated by the arrow of height h-not) can be any “tangible” object – like a bungee cord jumper, an aerobics instructor, a periodic chart on the wall, or a letter on a piece of paper. As long as our eyeball is far enough away from the focal point (on the right side of the lens) then a sharp, real image will be formed (located on the right side and designated by the arrow of height h-sub-i). This is the case where we held the convex lens at arms length and looked at an object far away – like something on the wall. Notice that the image is IN the field of view of the eyeball, so we can literally “see” the object (bungee cord jumper, an aerobics instructor, a periodic chart on the wall) inverted and shrunk down (negative magnification). Original object Image Bair 4 Now consider the case where we held the convex lens close to our eye and looked at an object through the lens. Bair 5 CASE 2 Notice that the convex lens above (according to the ray-diagram) still creates a “real” image if the object being viewed through the lens is outside the focal point of the convex lens. This is the case where we held the convex lens close to our eyeball. Notice that the image is no longer in the field of view of the eyeball, so we cannot “see” the object. Also notice what IS in the field of view. There are light rays that we can “see” but they don’t all arrive at the same point in space. The light ray designated as blue is higher then the light ray designated as green – but they all were emitted from the same point (the top of the arrow on the left). What we will “see” in this case is a very blurry image. In fact, you probably couldn’t even tell what the original object was. This is the same problem people with myopia experience ALL the time – when they are not wearing corrective lenses (wait a minute – so glasses are just thin lenses that have “very specific” focal points to move the location of where the image if formed into the field of view of the eyeball!) Bair 6 Original object Image Bair 7 CASE 3 Look at the picture above. This is the case where we are looking though a convex lens held at approximately arms distance at an object that is INSIDE the focal length of the convex lens. Will we be able to “see” the image? YES. It is in the field of view of the eyeball – and will appear larger then the original object. This is called a magnifying glass. You can use it to look at small things like a bug – and make it look larger. Notice that even though the light rays emitted from the object do not intersect to make a “real” object, we can STILL see the image (do not let the word “virtual image” make you think it is not there – it IS there – just the light rays emitted from the object are not intersecting to make the image). Original object Image Bair 8 Bair 9 CASE 4 Notice that if we hold the convex lens close to our eye and have the object inside the focal length, the object is STILL in the field of view of the eyeball and hence we can still “see” the object. If you get a magnifying glass and hold it near your eye or far from your eye, you will always be able to see the virtual image created by the lens. This is why they can freely sell magnifying glasses – it’s hard to get a blurry image as long as you keep your objects within the focal length of the lens. How many people do you know that use a magnifying lens to do bird watching? NONE! Why? See the examples above where the object is located outside the focal point … that’s kinda boring! Original object Image Bair 10 Bair 11 CASE 5 Think you got it now? This a concave lens. Is the image real or virtual? It’s virtual. Can we “see” the image? Yes, it’s in the field of view of our eye, and it looks like it will appear smaller then the actual object. Is the image erect or inverted? Erect. Got it? This is the case where we were using the concave lens at arms length to view an object like the periodic table on the wall. Bair 12 CASE 6 Here’s the concave lens held close to our eye looking at a distant object. Notice that all the same stuff we just discussed still applies. Can we “see” the image? You betcha! It’s virtual, small and erect. Original object Image Bair 13 How about looking at something inside the focal point of a concave lens with the lens far from our eye? Guess what … it’s the same. Original object Image Bair 14 How about looking at something inside the focal point of a concave lens with the lens close to our eye? Guess what … it’s STILL the same. Original object Image Got it now? See how this stuff relates to what you saw from part A of this experiment? Bair 15 If you still have questions on this stuff, PLEASE don’t hesitate to ask more questions. I’ll be glad to help where I can. Bair 16