CBSE BOARD X, asked by Neha714, 10 months ago

the focal point is located 20 cm from a concave lens. an object is placed 12 cm from the lens. find the image distance. ​

Answers

Answered by jagdishpadhi9
3

Answer:

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Answered by ahmadfardeen571
0

Answer:

The image distance is 7.5cm.

Explanation:

A concave lens diverges a straight light beam from the source to a distorted, upright virtual image. It is capable of creating both real and virtual images. A concave lens has at least one internally curved surface. Because it is rounded at the center and bulges outward at the borders, causing the light to diverge, a concave lens is also known as a diverging lens.

They are used to cure myopia because they make distant objects appear closer than they actually are.

The lens formula is used to identify the nature and the position of the image formed by the concave lens. The lens formula is expressed as follows:

\frac{1}{f} =\frac{1}{v} +\frac{1}{u}......... (1)

where f is the focal length, v is the distance of the image from the center and u is the distance of the object from the center.

Given:

A concave lens focal length is negative.

Focal length, f=-20cm

Distance of object from lens, u=12cm

Substitute values in equation (1)

-\frac{1}{20}=\frac{1}{v} +\frac{1}{12}  \\\\\frac{1}{v}=-\frac{1}{20}-\frac{1}{12}\\\\\frac{1}{v}=\frac{-3-5}{60} \\\\\frac{1}{v}=\frac{-8}{60}\\v=\frac{-60}{8} \\v=-7.5cm

The image distance is 7.5cm.

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