The desired overall magnification of a compound micro- scope is 140 ×. The objective alone produ

step 1 Hi everyone this is the problem based on compartment microscope in which it is desired to have t

The desired overall magnification of a compound micro- scope...

The desired overall magnification of a compound micro- scope is $140 \times$ . The objective alone produces a lateral magnification of $12.0 \times .$ Determine the required focal length of the eyepiece.

Key Concepts

Focal Length

Focal length is a fundamental property of a lens, defined as the distance from the lens at which parallel rays of light converge to a point (or appear to diverge from a point). In the context of microscopes, the focal length of the eyepiece is crucial because it directly determines its angular magnification. A shorter focal length in the eyepiece generally results in a higher magnification of the image formed by the objective lens, thereby contributing to the desired overall magnification of the microscope.

Eyepiece Lens

The eyepiece lens acts as a secondary magnifier that the observer looks through. It takes the real image produced by the objective lens and magnifies it further, typically by providing angular magnification. The eyepiece’s effectiveness is often determined by its focal length, which affects how the real image is converted into an angular size that is comfortable for the human eye to view.

Objective Lens

The objective lens is the first optical element in the microscope and is responsible for forming a magnified, real image of the specimen. Its magnification, often referred to as lateral magnification, depends on factors like its focal length and the distance between the lens and the specimen. The quality and properties of the objective lens greatly influence the resolution and clarity of the final image.

Overall Magnification

Overall magnification in a compound microscope is the product of the magnifications provided by the objective lens and the eyepiece lens. This concept is essential because it quantifies how much larger the final image is compared to the object itself, combining the contributions of both lenses in the microscope system.

Compound Microscope

A compound microscope is an optical instrument that uses a combination of at least two lenses to produce an enlarged image of a small object. It typically consists of an objective lens, which creates a real, magnified image of the object, and an eyepiece (ocular lens), which further magnifies this image for the viewer. This configuration allows for very large overall magnifications while maintaining resolution and clarity.

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