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? - Science and Technology 1

Advertisements
Advertisements

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

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.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Lenses - Exercises [पृष्ठ ९२]

APPEARS IN

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

संबंधित प्रश्न

A converging lens has focal length of 12 cm. Calculate at what distance the object should be placed from the lens so that it forms an image at 48 cm on the other side of the lens.


An object of height 4 cm is placed at a distance of 20 cm from a concave lens of focal length 10 cm. Use lens formula to determine the position of the image formed.


A student has obtained a point image of a distant object using the given convex lens. To find the focal length of the lens he should measure the distance between the :

(A) lens and the object only

(B) lens and the screen only

(C) object and the image only

(D) lens and the object and also between the object and the image


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.


At what distance from a concave lens of focal length 20 cm, should a 6 cm tall object be placed so that it forms an image at 15 cm from the lens ? Also determine the size of the image formed.


A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror.

(a) Write the type of mirror.

(b) Find the distance of the image from the object.

(c) What is the focal length of the mirror?

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


A student was asked by his teacher to find the image distance for various object distance in case of a given convex lens. He performed the experiment with all precautions and noted down his observations in the following table:

S. No.

Object distance

(cm)

Image distance

(cm)

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

After checking the observations table the teacher pointed out that there is a mistake in recording the image distance in one of the observations. Find the serial number of the observations having faulty image distance.

(A) 2

(B) 3

(C) 5

(D) 6


What is the difference between a real image and a virtual image? Give one example of each type of image


When an object is placed at a distance of 50 cm from a concave spherical mirror, the magnification produced is, `-1/2`. Where should the object be placed to get a magnification of, `-1/5`? 


An object is placed (a) 20 cm, (b) 4 cm, in front of a concave mirror of focal length 12 cm. Find the nature and position of the image formed in each case.


In order to obtain a magnification of −2 (minus 2) with a concave mirror, the object should be placed:

(a) between pole and focus
(b) between focus and centre of curvature
(c) at the centre of curvature
(d) beyond the centre of curvature


In order to obtain a magnification of, −1.5 with a concave mirror of focal length 16 cm, the object will have to be placed at a distance 

(a) between 6 cm and 16 cm
(b) between 32 cm and 16 cm
(c) between 48 cm and 32 cm
(d) beyond 64 cm


Linear magnification (m) produced by a rear view mirror fitted in vehicles:

(a) is equal to one
(b) is less than one
(c) is more than one
(d) can be more less than one depending on the position of object


Draw a diagram to show how a converging lens held close to the eye acts as a magnifying glass. Why is it usual to choose a lens of short focal length for this purpose rather than one of long focal length?


Explain what is meant by a virtual, magnified image. 


A student wants to project the image of a candle flame on a screen 80 cm in front of a mirror by keeping the candle flame at a distance of 20 cm from its pole.

  1. Which type of mirror should the student use?
  2. Find the magnification of the image produced.
  3. Find the distance between the object and its image.
  4. Draw a ray diagram to show the image formation in this case and mark the distance between the object and its image.

The image of a candle flame placed at a distance 30 cm from a spherical lens is formed on a screen placed at a distance of 60 cm from the lens. Identify the type of lens and calculate its focal length. If the height of the flame is 2.4 cm, find the height of its image.


At what distance should an object be placed from a lens of focal length 25 cm to obtain its image on a screen placed on the other side at a distance of 50 cm from the lens? What will be the magnification produced in this case?


At which position will you keep an object in front of a convex lens so as to get a real image of the same size as the object? Draw a figure.


Solve the following example.
5 cm high object is placed at a distance of 25 cm from a converging lens of focal length of 10 cm. Determine the position, size and type of the image.


What do you understand by the term magnification?


Find the position and magnification of the image of an object placed at distance of 8.0 cm in front of a convex lens of focal length 10.0 cm. Is the image erect or inverted?


The lens of the eye is flattened when looking at nearby objects.


A lens of focal length 5 cm is being used by Debashree in the laboratory as a magnifying glass. Her least distance of distinct vision is 25 cm.

  1. What is the magnification obtained by using the glass?
  2. She keeps a book at a distance 10 cm from her eyes and tries to read. She is unable to read. What is the reason for this?

The magnification produced when an object is placed at a distance of 20 cm from a spherical mirror is +1/2. Where should the object be placed to reduce the magnification to +1/3.


The focal length of a concave lens is 20 cm. At what distance from the lens should a 5 cm tall object be placed so that its image is formed at a distance of 15 cm from the lens? Also calculate the size of the image formed.


In a reading glass what is the position of the object with respect to the convex lens used?


Write an expression for magnification for a lens, explaining the meaning of the symbols used.


What information about the nature of image is erect or inverted, do you get from the sign of magnification + or -?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×