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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the power of a convex lens of focal length of + 25 cm.

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प्रश्न

Find the power of a convex lens of focal length of + 25 cm.

संख्यात्मक
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उत्तर

Given: Focal length (f) = 25 cm = 0.25 m

To find: Power of the lens (P)

Formula: P = `1/("f"("m"))`

Calculation: From formula, P = `1/0.25` = 4 D

The power of the convex lens is 4 D.

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पाठ 7: Lenses - Answer the Following [पृष्ठ ३८]

संबंधित प्रश्‍न

Calculate the focal length of a corrective lens having power +2D.


What does sign of power (+ve or –ve) indicate?


Define 1 dioptre of power of a lens.


 A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed in front of the convex lens if the image is equal to the size of the object? Also, find the power of the lens.


(a) At what distance should the lens be held from the figure in order to view the squares distinctly with the maximum possible magnifying power?

(b) What is the magnification in this case?

(c) Is the magnification equal to the magnifying power in this case? Explain.


Ranbir claims to have obtained an image twice the size of the object with a concave lens. Is he correct? Give a reason for your answer.


Kavita from 10th is using spectacles. The power of the lenses in her spectacles is –2.5 dioptre. Answer the following questions:

1) Which lenses are used in her spectacles?

2) State the defect of vision Kavita is suffering from.

3) Find the focal length of the lenses used in her spectacles


A student uses a lens of focal length 40 cm and another of –20 cm. Write the nature and power of each lens


Which type of lens has a positive power?


What is the power of a convex lens of focal length 0.5 m?


What is the power of a convex lens lens whose focal length is 80 cm? 


The power of a lens is + 0.2 D. Calculate its focal length. 


A doctor has prescribed a corrective lens of power, −1.5 D. Find the focal length of the lens. Is the prescribed lens diverging or converging? 


A lens has a focal length of, −10 cm. What is the power of the lens and what is its nature? 


The focal length of a lens is +150 mm. What kind of lens is it and what is its power? 


An object of height 4.25 mm is placed at a distance of 10 cm from a convex lens of power +5D. Find (i) the focal length of the lens, and (ii) the size of the image.


A convex lens of power 5 D and a concave lens of power 7.5 D are placed in contact with each other. What is the :
(a) power of this combination of lenses?
(b) focal length of this combination of lenses?


The power of a combination of two lenses X and Y is 5 D. If the focal length of lens X be 15 cm :
(a) calculate the focal length of lens Y.
(b) state the nature of lens Y.

 


State the condition for the following a lens has both its focal lengths equal .


How is the power of a lens related to its focal length?


How is the sign (+ or -) of power of a lens related to its divergent or convergent action?


Define power of a lens. Write its units. Deduce the relation `1/f =1/f_1  +1/f_2`for two thin lenses kept in contact coaxially.


A symmetric double convex lens is cut in two equal parts by a plane containing the principal axis. If the power of the original lens was 4 D, the power of a divided lens will be


Consider three converging lenses L1, L2 and L3 having identical geometrical construction. The index of refraction of L1 and L2 are \[\mu_1   \text{ and }   \mu_2\] respectively. The upper half of the lens L3 has a refractive index \[\mu_1\] and the lower half has \[\mu_2\]  following figure . A point object O is imaged at O1 by the lens L1 and at O2 by the lens L2placed in same position. If L3 is placed at the same place,

(a) there will be an image at O1
(b) there will be an image at O2.
(c) the only image will form somewhere between O1 and O2
(d) the only image will form away from O2.


A screen is placed a distance 40 cm away from an illuminated object. A converging lens is placed between the source and the screen and its is attempted to form the image of the source on the screen. If no position could be found, the focal length of the lens


A 5.0 diopter lens forms a virtual image which is 4 times the object placed perpendicularly on the principal axis of the lens. Find the distance of the object from the lens.


Surabhi from std. X uses spectacle. The power of the lenses in her spectacle is 0.5 D.

Answer the following questions from the given information:

  1. Identify the type of lenses used in her spectacle.
  2. Identify the defect of vision Surabhi is suffering from.
  3. Find the focal length of the lenses used in her spectacle.

Express nanometer (nm) in terms of Angstrom

How is accommodation produced?


Which lens has more power a thick lens or a thin lens?


The power of a lens is +2.0 D. Find its focal length and state the kind of lens.


A lens forms an upright and diminished image of an object, irrespective of its position. What kind of lens is this? Draw an outline ray diagram to show the formation of the image. State the position and one more characteristic of the image.


The following diagram shows the object O and the image I formed by a lens. Copy the diagram and on it mark the positions of the lens LL’ and focus (F). Name the lens.


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Increase in the converging power of eye lens cause ‘hypermetropia'


Match the following:

Column - I Column - II
1 Retina a Path way of light
2 Pupil b Far point comes closer
3 Ciliary muscles c near point moves away
4 Myopia d Screen of the eye
5 Hypermetropia e Power of accommodation

The focal length of a concave lens is 20 cm. The focal length of a convex lens is 25 cm. These two are placed in contact with each other. What is the power of the combination? Is it diverging, converging or undeviating in nature?


An object is kept at a distance of 1m from a lens of power +2D:

  1. Identify the type of lens.
  2. Calculate its focal length and distance of the image formed.

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