Which kind of microscope is being used, and in what mode?xamy said:
1. Homework Statement
The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification.
Homework Equations
di/do=hi/ho
M=beta/alpha
alpha=object size/object distance
beta=image size/image distance
The Attempt at a Solution
di/do=hi/ho
5.9/do=1.4/0.0017
do=0.00716
alpha=0.0017/0.00716=0.237
beta=1.4/5.9=0.237
M=1
This answer is wrong. Can anyone please point out the mistake.
Angular magnification is a measure of the apparent increase in the size of an object when viewed through a magnifying instrument, such as a microscope or telescope. It is expressed as a ratio of the angle subtended by the image to the angle subtended by the object.
Angular magnification can be calculated by dividing the angular size of the image by the angular size of the object. This can be represented by the formula: angular magnification = θi/θo, where θi is the angular size of the image and θo is the angular size of the object.
Angular magnification can be affected by the focal length of the lens or mirror used in the magnifying instrument, as well as the distance between the lens or mirror and the object being viewed. The eye's ability to focus and the quality of the instrument's optics can also impact angular magnification.
Angular magnification measures the increase in apparent size of an object when viewed through a magnifying instrument, while linear magnification measures the increase in size of the image itself. Angular magnification takes into account the distance between the object and the lens or mirror, while linear magnification does not.
No, angular magnification cannot be negative. It is always a positive value, as it represents an increase in the apparent size of the object. However, it can be less than 1, indicating that the image appears smaller than the object.