हिंदी

Solve the following example. An object kept 60 cm from a lens gives a virtual image 20 cm in front of the lens. What is the focal length of the lens? Is it a converging lens or diverging lens?

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प्रश्न

Solve the following example.

An object kept 60 cm from a lens gives a virtual image 20 cm in front of the lens. What is the focal length of the lens? Is it a converging lens or diverging lens?

संख्यात्मक
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उत्तर

Given:
Object distance, u = −60 cm
Image distance, v = −20 cm
Using lens formula,
\[\frac{1}{v} - \frac{1}{u} = \frac{1}{f}\]
\[ \Rightarrow \frac{1}{f} = \frac{1}{- 20} - \frac{1}{- 60} = - \frac{1}{30}\]
\[ \Rightarrow f = - 30 \text{ cm }\]

Since, the focal length is negative, the lens is a diverging lens or a concave lens.

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अध्याय 7: Lenses - Exercises [पृष्ठ ९२]

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बालभारती Science and Technology Part 1 [English] Standard 10 Maharashtra State Board
अध्याय 7 Lenses
Exercises | Q 8.4 | पृष्ठ ९२

संबंधित प्रश्न

A student is using a convex lens of focal length 10 cm to study the image formation by a convex lens for the various positions of the object. In one of his observations, he may observe that when the object is placed at a distance of 20 cm from the lens, its image is formed at (select the correct option)

(A) 20 cm on the other side of the lens and is of the same size, real and erect.

(B) 40 cm on the other side of the lens and is magnified, real and inverted.

(C) 20 cm on the other side of the lens and is of the same size, real and inverted.

(D) 20 cm on the other side of the lens and is of the same size, virtual and erect.


A divergent lens of focal length 30 cm forms the image of an object of size 6 cm on the same side as the object at a distance of 15 cm from its optical centre. Use lens formula to determine the distance of the object from the lens and the size of the image formed.


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A student wants to project the image of a candle flame on a screen 60 cm in front of a mirror by keeping the flame at a distance of 15 cm from its pole.

(a) Write the type of mirror he should use.

(b) Find the linear magnification of the image produced.

(c) What is the distance between the object and its image?

(d) Draw a ray diagram to show the image formation in this case.


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Image distance

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1 60 15
2 48 16
3 36 21
4 24 24
5 18 36
6 16 48

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(A) 2

(B) 3

(C) 5

(D) 6


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  1. Which type of mirror should the student use?
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  3. Find the distance between the object and its image.
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