13.7 millimeters
The image of the object in a plane mirror is located at the same distance behind the mirror as the object is in front of it. Therefore, the image of the object would be located 15 millimeters behind the mirror.
The image distance can be calculated using the lens formula: 1/f = 1/d_o + 1/d_i, where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance. Given that the object distance (d_o) = 51 mm and object height = 13 mm, image height = -3.5 (negative since it is inverted), we can use the magnification formula to find the image distance (d_i). The equation for magnification is M = -d_i/d_o = -hi/ho, where hi is the image height and ho is the object height. Solving these equations will give the image distance in front of the lens.
The distance between the object and mirror is 15 mm. The distance between the image and mirror is 15 mm. Therefore, the distance between the image and object is 15 mm plus 15 mm which equals 30 mm.
A diverging lens, also known as a concave lens, shrinks the image in front of it. This type of lens causes light rays to diverge, which results in the image being smaller than the object.
The front view of an object is drawn on the elevation or front elevation of a drawing. This view shows the object as if it were being viewed directly from the front.
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hi/ho = di/do di = dohi/ho di = (51mm)(3.5mm)/(13mm) di = 14mm * rounded to 2 significant figures The image would be 14mm in front of the lens.
Since the image height is smaller than the object height, it is a virtual image. Using the thin lens equation (1/f = 1/d_o + 1/d_i), where d_o is the object distance and d_i is the image distance, and assuming a diverging lens, the image distance is found to be -17.17 mm. This means the image is located 17.17 mm in front of the lens.
13.7 millimetersThis answer is correct, but the formula is most important.The formula is:Hi = height of imageHo = height of objectSi = Distance of image from lensSo = Distance of object from lensYou are trying to find Si, so that is your unknown.Here is your formula: Hi/Ho = Si/SoOr in this case: 3.5/13 = Si/51The rest is basic algebra.Good luck!You can use the ratio equation; (Image Height)/(object height) = - (image location)/(object location) In your case you will get a negative location which means the image is on the same side of the lens as the incoming light.
The image will be located the same distance behind the mirror as the object is in front of it, so the image will be 15 millimeters behind the mirror.
15 millimeters.
30 millimeters
The image of the object in a plane mirror is located at the same distance behind the mirror as the object is in front of it. Therefore, the image of the object would be located 15 millimeters behind the mirror.
The answer is 15 millimeters behind the mirror, and the distance from the actual object to the image is 30 millimeters. Plane mirrors have a flat focus that places the image as far behind the mirror as you are in front of it.
The image distance can be calculated using the lens formula: 1/f = 1/d_o + 1/d_i, where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance. Given that the object distance (d_o) = 51 mm and object height = 13 mm, image height = -3.5 (negative since it is inverted), we can use the magnification formula to find the image distance (d_i). The equation for magnification is M = -d_i/d_o = -hi/ho, where hi is the image height and ho is the object height. Solving these equations will give the image distance in front of the lens.
c. 8 millimeters
Using the expression v/u = Image size / object size we can find the value of v. v = 15 * 3.5/13 = 4 (nearly) So approximately at a distance of 4 mm in front of the lens the image is located on the same side of the object.