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A man is looking at a small object place...

A man is looking at a small object placed at his near point. Without altering the position of lhis eye or the object, he puts a simple microscope of magnifying power 5x before his eyes. The angular magnification achieved is

A

5

B

2.5

C

1

D

0.2

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the angular magnification achieved when a man uses a simple microscope with a magnifying power of 5x to view a small object at his near point. ### Step-by-Step Solution: 1. **Understand the Concept of Angular Magnification**: - Angular magnification is defined as the ratio of the angle subtended by the image at the eye when viewed through the microscope to the angle subtended by the object at the near point when viewed with the naked eye. 2. **Identify the Given Information**: - The magnifying power (or magnification) of the simple microscope is given as 5x. 3. **Relate Magnifying Power to Angular Magnification**: - For a simple microscope, the angular magnification (M) is equal to the magnifying power (P). Therefore, we can write: \[ M = P \] 4. **Substitute the Given Magnifying Power**: - Since the magnifying power is given as 5x, we can substitute this value into the equation: \[ M = 5 \] 5. **Conclusion**: - The angular magnification achieved when using the simple microscope is therefore: \[ \text{Angular Magnification} = 5 \] ### Final Answer: The angular magnification achieved is **5**.
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