Question

In: Physics

A. A convex lens has a focal length of 5.74704 cm. The object distance is 7.11538...

A. A convex lens has a focal length of 5.74704 cm. The object distance is 7.11538 cm. Find the image distance.
Answer in units of cm. Find the magnification.
B. A concave lens has a focal length of 35.0689 cm. The object distance is 17.2727 cm. Find the image distance.
Answer in units of cm. Find the magnification.

C. A convex lens has a focal length of 10.4082 cm. The object distance is 6.07143 cm. Find the image distance.
Answer in units of cm.

Solutions

Expert Solution

To resolve this problem you have to know about Lens

Step 1.

Definition: is a transmissive optical device that affects the focus of a light beam through refraction.

lenses can be either positive or negative, depending on the relative curvatures of the two surfaces. A negative meniscus lens has a steeper concave surface and is thinner at the centre than at the periphery. Conversely, a positive meniscus lens has a steeper convex surface and is thicker at the centre than at the periphery.

A positive or converging lens in air focuses a collimated beam travelling along the lens axis to a spot (known as the focal point) at a distance f from the lens. Conversely, a point source of light placed at the focal point is converted into a collimated beam by the lens. These two cases are examples of image formation in lenses. In the former case, an object at an infinite distance (as represented by a collimated beam of waves) is focused to an image at the focal point of the lens. In the latter, an object at the focal length distance from the lens is imaged at infinity. The plane perpendicular to the lens axis situated at a distance f from the lens is called the focal plane.

If the distances from the object to the lens and from the lens to the image are S1 and S2 respectively, for a lens of negligible thickness, in air, the distances are related by the thin lens formula:

  

The linear magnification of an imaging system using a single lens is given by

,

Step 2.

A.- Find the image distance and Find the magnification?

    

B.- Find the image distance and Find the magnification?

     

C.- Find the image distance?

     

If you have any question please let me know in the comments


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