# Calculating the Angle Subtended by Red Blood Cells Under a Microscope

So, in summary, when viewed through the compound microscope with a distance of 12.5 cm between the objective and eyepiece, the red blood cell subtends an angle of 8.41E-6 rad or 0.00048 degrees.
A typical red blood cell subtends an angle of only 1.90E-5 rad when viewed at a person's near-point distance of 25.0 cm. Suppose a red blood cell is examined with a compound microscope in which the objective and eyepiece are separated by a distance of 12.5 cm. Given that the focal length of the eyepiece is 2.56 cm, and the focal length of the objective is 0.500 cm, calculate the magnitude of the angle subtended by the red blood cell when viewed through this microscope.

1/f=1/di+1/do

i don't really know how to start this problem. help would be appreciated.

Let's start by rearranging the equation to solve for di: di = f*(1/do - 1/f)Now, let's substitute the given values into di:di = 2.56 cm * (1/0.500 cm - 1/2.56 cm)di = 21.14 cmNow we can use the angle formula:angle = 2*arctan(object size/2*distance)angle = 2*arctan(1.90E-5 rad/(2 * 21.14 cm))angle = 8.41E-6 rad

## 1. How do you calculate the angle subtended by red blood cells under a microscope?

To calculate the angle subtended by red blood cells under a microscope, you will need to measure the diameter of the red blood cell and the distance between the microscope lens and the stage. You can then use the formula θ = 2arctan(d/2f), where θ is the angle subtended, d is the diameter of the red blood cell, and f is the distance between the microscope lens and the stage.

## 2. Why is it important to calculate the angle subtended by red blood cells under a microscope?

Calculating the angle subtended by red blood cells under a microscope is important because it allows us to determine the size and shape of the red blood cells. This information is crucial in diagnosing and monitoring various medical conditions, such as anemia and sickle cell disease.

## 3. Is there a standard angle for red blood cells under a microscope?

No, there is no standard angle for red blood cells under a microscope. The angle will vary depending on the size and shape of the red blood cells, as well as the magnification and type of microscope being used.

## 4. How does the angle subtended by red blood cells change with magnification?

The angle subtended by red blood cells will decrease as the magnification increases. This is because as the magnification increases, the image of the red blood cell appears larger on the microscope slide, making it appear closer to the viewer's eye. As a result, the angle subtended by the red blood cell will decrease.

## 5. Can you calculate the angle subtended by red blood cells under a microscope without measuring the diameter of the cells?

No, it is not possible to calculate the angle subtended by red blood cells under a microscope without measuring the diameter of the cells. This measurement is essential in accurately determining the angle using the formula θ = 2arctan(d/2f).

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