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Chapter 31: Problem 13

Do you want a long or short focal length for a telescope's objective lens? What about a microscope's?

Short Answer

Expert verified
For a telescope's objective lens, a long focal length is generally desired for greater magnification. Conversely, for a microscope, a short focal length is preferred to provide a smaller field of view and hence, greater magnification.

Step by step solution

01

Understand the property of the Telescope's Objective Lens

The telescope is designed for observing distant objects by making them appear closer. This is achieved through an objective lens or mirror that gathers light, and a second lens, or set of lenses which magnify the image. The longer the focal length of the objective lens of a telescope, the greater the magnification is because it spreads out the light captured by the lens over a broader area.
02

Conclusion Based on Telescope's Objective Lens Property

For a telescope's objective lens, a long focal length is desired because it provides higher magnification to view distant astronomical objects clearer.
03

Understand the property of the Microscope's Objective Lens

A Microscope, on the other hand, is used for magnifying very small objects or features that are close to the observer. It comprises an objective lens that collects light from the object being observed and an eyepiece that magnifies the image to make it more visible to the observer.
04

Conclusion Based on Microscope's Objective Lens Property

For a microscope, a shorter focal length for the objective lens is desired. This is because a short focal length gives a smaller field of view, therefore, provides greater magnification for detailed observation of microscopic organisms and structures.

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Most popular questions from this chapter

A candle and a screen are \(70 \mathrm{cm}\) apart. Find two points between candle and screen where you could put a convex lens with \(17-\mathrm{cm}\) focal length to give a sharp image of the candle on the screen.

Chromatic aberration results from variation of the refractive index with wavelength. Starting with the lensmaker's formula, find an expression for the fractional change \(d f / f\) in the focal length of a thin lens in terms of the change \(d n\) in refractive index.

The cornea of the human eye has refractive index \(1.38,\) while the eye's lens has a graduated index in the range 1.38 to \(1.40 ;\) use 1.39 for this problem. For the aqueous humor between cornea and lens, \(n=1.34 .\) Find the angle through which light is deflected at the first surface of (a) the cornea and (b) the lens, if it's incident at \(20^{\circ}\) to the normal at each surface. Your result shows that the cornea is the dominant refractive element in the eye.

A lens with 50 -cm focal length produces a real image the same size as the object. How far from the lens are image and object?

At what two distances could you place an object from a \(45-\mathrm{cm}-\) focal-length concave mirror to get an image 1.5 times the object's size?
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