Question

A forensic pathologist is viewing heart muscle cells with a microscope that has two selectable objectives with refracting powers of 100 and 300 diopters. When he uses the 100 -diopter objective, the image of a cell subtends an angle of $3 \times 10^{-3}$ rad with the eye. What angle is subtended when he uses the 300 -diopter objective?

Name: Problem 90, Chapter 26: Physics
Uploaded: 2020-05-04T17:33:26-08:00
Duration: 1 min 49 s
Channel: Adnan Gill
Description: A forensic pathologist is viewing heart muscle cells with a microscope that has two selectable objectives with refracting powers of 100 and 300 diopters. When he uses the 100 -diopter objective, the image of a cell subtends an angle of 3 ×10^-3 rad with the eye. What angle is subtended when he uses the 300 -diopter objective?

   A forensic pathologist is viewing heart muscle cells with a microscope that has two selectable objectives with refracting powers of 100 and 300 diopters. When he uses the 100 -diopter objective, the image of a cell subtends an angle of $3 \times 10^{-3}$ rad with the eye. What angle is subtended when he uses the 300 -diopter objective?

Physics

John D. Cutnell,… 11th Edition

Chapter 26, Problem 90

Instant Answer

Solved by Expert Adnan Gill

05/04/2020

Step 1

Since the refracting power is directly proportional to the magnification, when the refracting power increases, the magnification also increases. In this case, the refracting power increases from 100 diopters to 300 diopters, which is a 3-fold increase. Show more…

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A forensic pathologist is viewing heart muscle cells with a microscope that has two selectable objectives with refracting powers of 100 and 300 diopters. When he uses the 100 -diopter objective, the image of a cell subtends an angle of $3 \times 10^{-3}$ rad with the eye. What angle is subtended when he uses the 300 -diopter objective?

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Key Concepts

Objective Lens

The objective lens is the primary lens in a microscope tasked with gathering light from the specimen and forming a primary image. Its diopter value, which indicates its refractive power, directly influences the level of detail and enlargement of the image as perceived by the observer.

Angular Magnification

Angular magnification refers to the ratio of the angle subtended by the image to the angle subtended by the object when viewed with the naked eye. In microscopes, higher diopter values generally increase angular magnification, meaning the observer perceives a larger image compared to the actual object.

Diopter

Diopter is a unit of measurement that expresses the refractive power of a lens, defined as the reciprocal of its focal length measured in meters. It is central to understanding how the lens forms and magnifies an image in optical instruments such as microscopes.

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