Concave Mirror: Find object and image distances?
A concave mirror with a focal length of 37 cm produces an image whose distance from the mirror is one-half the object distance. Find the object and image distances.
Convex mirror? distance of image?
To draw the ray diagram first find the focal length. 1/si + 1/so = 1/f 1/-14cm + 1/∞ = 1/f f=-14cm now looking at this picture http://electron9.phys.utk.edu/optics421/modules/m1/images/convex.gif you can see how to draw the image with your measurements.
A concave mirror forms an image of an object placed at a distance of 12cm from it. If the image is twice as large as the object‚ where is it formed?
According to your question, distance of object from mirror (u)= -12 cmHere, The negative sign has come because of the Cartesian sign conventionand the magnification (m) = height of image/height of objectso, m = 2 because height of image is twice the height of objectand the another formula of m = -v/u for mirrorsSo, putting the value of magnification that we had got that is 2 and value of object distance from the question which is -12 cmso 2=-v/-12So, v =24 cmHOPE IT WAS HELPFUL
Concave mirror, enlarged real image, need to find distance moved- i think easy points?
A concave mirror forms a real image twice as large as the object. The object is then moved such that the new real image produced is three times the size of the object. If the image was moved 89.7 cm from its initial position, ... a) ... how far was the object moved? (If it was moved closer to the mirror, the result will be negative. If it was moved farther away from the mirror, the result will be positive). b) ... what is the focal length of the mirror? I tried solving system of equations using m = h(i)/h(o) = -d(i)/d(o) and 1/d(o) + 1/d(i) = 1/f where m = magnification, h(i) = image height, h(o) = object height, d(i) = image distance, d(o) = object distance, f = focal distance but to no avail (I kept getting 179.4, -89.7 for d(i) and d(o) respectively). I'm just missing something stupid.
Where is the image formed when an object is at a large distance from a concave mirror?
Where is the image formed when an object is at a large distance from a concave mirror?When the object is at infinity, the distance of the image from a concave mirror is equal to the focal length.When the object is at at a large distance from a concave mirror the image formed would be very close to the focus. The distance of the image from the mirror would be slightly more than the focal length.
Why can we see our inverted image inside a concave mirror when the image is formed in front of it and not behind?
A2AGood question :)I remember getting same question when I was doing the course on optics in my school.Yes, you are right about following things:Concave mirror forms an inverted, real image in front of it (for the case of object being far from focal length of mirror)Real image is can be obtained only on a screenNow add following fact to it:Human eyes see by forming a real image of objects on the retinaHuman eye can (re)focus to see anything kept farther from minimum distance of vision (which is assumed to be 25 cm for a normal healthy eye)Human eye when viewing through another optical element behaves as a cascaded optical imaging system (i.e. like many lenses, mirrors together)Okay, now we are well equipped to answer why can you see real image through concave mirrors:The real image of objects (generally placed very far away from mirror) is formed closer to the focal length of concave mirror When we look into the mirror, we are farther than the focal length of mirror, thus our eyes tries to image the real image formed by mirror (it is inception style thing ...... forming image of another image ...... but that is exactly how you analyse a multiple element optical system.So, what we see is an image of real image formed by the mirror. If you want to confirm it here is a small experiment for you:Take a shiny spoon Use the concave surface of the spoon to look at objects, you can clearly see them ? Right? That is exactly why you asked the question.Now, what happens as you move the spoon closer to your eye (keep the spoon slightly tilted so you can still follow the image formed) ..... you will notice that at some point the image will go blurry! This is the point where your eyes are at their minimum distance of vision away from real image formed by the spoon. If you go to the plane where real image is formed, you will not be able to see anything.Now, a bonus question for future which you may answer on similar lines:Q: A convex lens forms a real, inverted image of objects kept at farther distance. Still how is it than we can see this image with our eyes?
At what distance, from a concave mirror of radius of curvature 120 cm should Rashmi stand to see an upright image of her face 4 times its natural size?
radius of curvature= focal length/2and radius of curvature = 120so the focal length = 60and magnification =4and formula of magnification is -v/uso -v/u=4 -so, v in terms of u is -4uso putting value in mirror formula1/v+1/u=1/fwe have found the value of v and fso 1/-4u+1/u=1/60-1+4/4u=1/60so 4u/ 3 =60u=45so value of v can be found by putting the value of u in formula of magnificationso, v=-180so -180 means the image will be formed inverted and at a distance of 180 from the mirror
An object is placed 11 cm in front of a concave mirror whose focal length is 22 cm. The object is 2.4 cm tall.?
An object is placed 11 cm in front of a concave mirror whose focal length is 22 cm. The object is 2.4 cm tall. Determine (a) the location of the image, taking a real image as a positive value and a virtual image as a negative value. (b) Determine the height of the image, where an upright image will have a positive height and an inverted image will have a negative height. SEE DRAWING HERE >>> http://www.flickr.com/photos/68751220@N03/6997230323/ (a): __________ cm (b): __________ cm
What is nature of the image formed when an object is placed at a distance of 20 cm from a concave mirror of focal length 10 cm?
If an image is placed at a distance greater than the focal length of a concave mirror, the image would be real and inverted. Otherwise it would be a virtual image.If the distance of the object is greater than twice the focal length, the image would be closer to the mirror than the object and the size of the image would be lesser than the size of the object.If the distance of the object is lesser than twice the focal length but more than the focal length, the image would be farther to the mirror than the object and the size of the image would be greater than the size of the object.If the distance of the object is equal to twice the focal length, the distance of the image from the mirror would be the same as that of the object and the size of the image would also be same as the size of the object.If the distance of the object is equal to the focal length, the image would be formed at infinity.In this case, the distance of the object from the mirror is twice the focal length.