In a convex lens, where is the image formed, when an object is placed at 2F ?a)Between F and 2Fb)At focus (F)c)At 2F on the other sided)At 2F on the same sideCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

At the 2F point, the object distance equals the image distance and the object height equals the image height. As the object distance approaches one focal length, the image distance and image height approaches infinity.

Answer

Answer

When an object placed  in front of a convex lens at 2F.Then a ray of light starting from object incident on the lens in a direction parallel to principal axis of the lens after refraction passes through second principal focus of the lens. Another ray of light starting from object passes through optical centre without deviation. The two rays of light after refraction actually meet at point second F2 Or at 2F on another side.

Answer

B

Answer

Answer

Understanding Image Formation in a Convex Lens
When an object is placed at a distance of 2F from a convex lens, we can determine the location of the image by applying the lens formula and understanding the behavior of light rays.
Lens Formula
The lens formula is given by:
1/f = 1/v - 1/u
Where:
- f = focal length of the lens
- v = image distance from the lens
- u = object distance from the lens (negative for real objects)
Since the object is at 2F, we have:
- u = -2f
Ray Diagram Analysis
To find the image location, we can analyze the ray diagram for a convex lens:
- Incident Rays:
- A ray parallel to the principal axis passes through the focus (F) after refracting through the lens.
- A ray passing through the center of the lens continues in a straight line.
- Convergence Point:
- Both rays converge at a point on the other side of the lens.
Image Characteristics
When the object is at 2F, the image characteristics are as follows:
- Location: The image is formed at a distance of 2F on the opposite side of the lens.
- Nature: The image is real, inverted, and of the same size as the object.
Conclusion
Thus, when an object is placed at 2F from a convex lens, the image is formed at 2F on the other side of the lens. Therefore, the correct answer is option 'C'. This illustrates the fundamental principles of lens optics, highlighting the predictable behavior of light through a convex lens.

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