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Grade 12General Physics

A person wears of a glasses power of -2.5D.Is the person farsighted or nearsighted ?What is the far point of the person without the glasses .

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12 Years agoGrade 12
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ApprovedApproved Tutor Answer1 Year ago

To determine whether a person with a glasses prescription of -2.5 diopters (D) is nearsighted or farsighted, we need to understand the implications of the negative sign in the prescription. A negative diopter value indicates that the person is nearsighted, also known as myopic. This means they have difficulty seeing distant objects clearly, while nearby objects can be seen more clearly.

Understanding Nearsightedness

Nearsightedness occurs when the eye is too long relative to the focusing power of the cornea and lens, or when the cornea is too curved. This causes light rays to focus in front of the retina instead of directly on it. As a result, distant objects appear blurry, while close objects remain clear.

Calculating the Far Point

The far point of a person is the farthest distance at which they can see objects clearly without corrective lenses. For someone with a prescription of -2.5D, we can calculate the far point using the formula:

  • Far Point (in meters) = -1 / Prescription (in diopters)

Substituting the values:

  • Far Point = -1 / -2.5 = 0.4 meters

This means that the far point of the person without glasses is 0.4 meters, or 40 centimeters. Therefore, they can see objects clearly only up to this distance, and anything beyond that will appear blurry.

Visualizing the Concept

To better understand this, think of the eye as a camera. If the lens of the camera is not focused correctly, distant objects will appear out of focus. In the case of nearsightedness, the camera lens is set to focus on closer objects, making it difficult to capture a clear image of distant scenes.

Summary

In summary, a person with a glasses prescription of -2.5D is nearsighted, meaning they struggle to see far away. Their far point, or the maximum distance at which they can see clearly without glasses, is 0.4 meters. Understanding these concepts can help in recognizing how vision correction works and the importance of regular eye examinations.