What is the image distance of an object placed at a distance of 2f from a converging lens of focal length f?
Question 1 Report
What is the image distance of an object placed at a distance of 2f from a converging lens of focal length f?
Answer Details
The image distance of an object placed at a distance of 2f from a converging lens of focal length f can be found using the lens formula:
1/f = 1/v - 1/u
where f is the focal length of the lens, v is the image distance, and u is the object distance.
Since the object is placed at a distance of 2f, u = 2f.
Substituting these values in the lens formula, we get:
1/f = 1/v - 1/2f
Multiplying both sides by 2f, we get:
2 - f/f = v
Simplifying this equation, we get:
v = 2f
Therefore, the image distance of an object placed at a distance of 2f from a converging lens of focal length f is 2f.
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