A 2.0cm tall object is placed 40 cm from a diverging lens of focal length 15cm. Find the position and size of the image.
Download our app for free and get startedPlay store
$h_1=2 cm u =-40 cm f =-15 cm \frac{1}{v}-\frac{1}{u}=\frac{1}{f}$
$\frac{1}{\text{v}}=-\frac{1}{15}-\frac{1}{40}$
$\frac{1}{\text{v}}=\frac{-11}{120}$
$\text{v}=-10.90\text{cm}$
$\text{m}=\frac{\text{v}}{\text{u}}=\frac{\text{h}_2}{\text{h}_1}$
$\frac{-10.09}{-40}=\frac{\text{h}_2}{2}$
$\text{h}_2=0.54\text{cm}$
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The image of an object formed by a lens is of magnification - 1. If the distance between the object and its image is 60 cm, what is the focal length of the lens? If the object is moved 20 cm towards the lens, where would the image be formed? State reason and also draw a ray diagram in support of your answer.
    View Solution
  • 2
    How are power and focal length of a lens related? You are provided with two lenses of focal length 20cm and 40cm respectively. Which lens will you use to obtain more convergent light?
    View Solution
  • 3
    The image of a candle flame placed at a distance of 45cm from a spherical lens is formed on a screen placed at a distance of 90cm from the lens. Identify the type of lens and calculate its focal length. If the height of the flame is 2cm, find the height of its image.
    View Solution
  • 4
    A student wants to project the image of a candle flame on a screen 48 cm in front of a mirror by keeping the flame at a distance of 12 cm from its pole.
    1. Suggest the type of mirror he should use.
    2. Find the linear magnification of the image produced.
    3. How far is the image from its object?
    4. Draw ray diagram to show the image formation in this case.
    View Solution
  • 5
    The image formed by a spherical mirror is real, inverted and is of magnification - 2. If the image is at a distance of 30 cm from the mirror, where is the object placed ? Find the focal length of the mirror. List two characteristics of the image formed if the object is moved 10 cm towards the mirror.
    View Solution
  • 6
    The magnification of an image formed by a lens is – 1. If the distance of the image from the optical centre of the lens is 35 cm, where is the object placed ? What is the nature and focal length of the lens? If the object is displaced 20 cm towards the optical centre of the lens, where would the image be formed and what will be its nature? Draw a ray diagram to justify your answer.
    View Solution
  • 7
    A man stands 10m in front of a large plane mirror. How far must the walk before he is 5m away from his image?
    View Solution
  • 8
    At what distance should an object be placed from a convex lens of focal length 18cm to obtain an image at 24cm from it on the other side? What will be the magnification produced in this case?
    View Solution
  • 9
    a. What is the focal length of the lens used in sunglasses?
    b. The following figures show the path of light rays through three lenses marked $L_1, L_2$, and $L_3$ and their focal points $F_1, F_2$, and $F_3$, respectively. Identify the nature of lenses.
    View Solution
  • 10
    The image of a candle flame formed by a lens is obtained on a screen placed on the other side of the lens. If the image is three times the size of the flame and the distance between lens and image is 80cm, at what distance should the candle be placed from the lens? What is the nature of the image at a distance of 80cm and the lens?
    View Solution