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JEE Main 2021
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Animated Solution for Physics - Optics: Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distorted. The doctor diagnosed the problem as

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Visualized Solution

Symptom 1: Blurry Distant Vision

  • The person is unable to see distant objects clearly.

Diagnosis 1: Myopia

  • Inability to see distant objects clearly is called Myopia.

Symptom 2: Distorted Mesh

  • The uniform window mesh appears non-uniform and distorted.

Diagnosis 2: Astigmatism

  • Distortion of lines is due to irregular curvature of the cornea, known as Astigmatism.

Final Conclusion

  • The friend suffers from both Myopia and Astigmatism.

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Solution Diagram

Analyzing the First Symptom

Imagine you are looking out of a window, trying to enjoy the view of a distant landscape, but everything appears blurry and out of focus. This is exactly what the friend in our problem is experiencing.
The inability to see distant objects clearly is a classic symptom of a very common eye defect. When the eye can focus perfectly on near objects but struggles with distant ones, we call this condition Myopia, or nearsightedness.
In a myopic eye, the eyeball is slightly elongated, or the lens has too much converging power. As a result, light rays from distant objects converge and form an image in front of the retina, rather than directly on it. This is why the distant window mesh appears blurry to her.

Analyzing the Second Symptom

Now, let's look at the second, more peculiar symptom. The friend notices that the uniform window mesh appears non-uniform and distorted.
Imagine looking at a perfect grid of horizontal and vertical lines. If you have this specific defect, some lines might appear sharp while others look wavy, blurred, or stretched. This distortion is the hallmark of Astigmatism.
Astigmatism occurs when the cornea (the clear front surface of the eye) or the lens has an irregular curvature. Instead of being perfectly spherical like a basketball, it is shaped more like a football, with different curvatures in different planes.
Because of this irregular shape, light rays entering the eye in different planes are focused at different points. This multiple focal point situation causes the straight lines of the window mesh to appear distorted and non-uniform.

Final Diagnosis

By carefully breaking down the symptoms, we have solved the medical mystery.
The blurry distant vision points directly to Myopia.
The distorted and non-uniform appearance of the grid points directly to Astigmatism.
Therefore, the doctor's diagnosis is that the friend is suffering from a combination of both defects: Myopia with Astigmatism.

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