Home
Class 11
PHYSICS
A double convex lens made of glass of re...

A double convex lens made of glass of refractive index `1.56` has both radii of curvature of magnitude `20 cm`. If an object is placed at a distance of `10 cm` from this lens, find the position of image formed.

Text Solution

Verified by Experts

Here, `mu = 1.56, R_1 = 20 cm`,
`R_2 = -20 cm, u = -10 cm, v = ?`
As `(1)/(f) = (mu - 1) ((1)/(R_1) - (1)/(R_2))`
`:. (1)/(f) = (1.56 - 1)((1)/(20) + (1)/(20)) = 0.56 xx (1)/(10)`
`f = (10)/(0.56) = 17.86 cm`
As `(1)/(v)-(1)/(u)=(1)/(f) :. (1)/(v)=(1)/(f)+(1)/(u)=(1)/(17.86)+(1)/(-10)`
`v = -22.72 cm`.
Promotional Banner

Topper's Solved these Questions

  • RAY OPTICS

    PRADEEP|Exercise Solved Example(c )|21 Videos
  • RAY OPTICS

    PRADEEP|Exercise Solved Example(d)|32 Videos
  • RAY OPTICS

    PRADEEP|Exercise Sample problem(d)|5 Videos
  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise Assertion- Reason Type questions|20 Videos

Similar Questions

Explore conceptually related problems

A double convex spherical glass has refractive index 1.5 and both radius of curvature 30 cm. A point object is placed at a distance of 120 cm from the spherical glass. What will be the position of the image formed ?

A double convex lens of glass of refractive index 1.6 has its both surfaces of equal radii of curvature of 30 cm each. An object of height 5 cm is placed at a distance of 12.5 cm from the lens. Calculate the size of the image formed.

The focal length of convex lens is 20 cm. If an object of height 4 cm is placed at a distance of 30 cm from the lens, find: The position of the image

A double convex thin lens made of glass (refractive index mu = 1.5 ) has both radii of curvature of magnitude 20 cm . Incident light rays parallel to the axis of the lens will converge at a distance L such that

The focal length of convex lens is 20 cm. If an object of height 4 cm is placed at a distance of 30 cm from the lens, find: The height of the image

A double convex lens is made of glass of refractive index 1.5. If its focal length is 30 cm, then radius of curvature of each of its curved surface is

A double convex lens of + 5 D is made of glass of refractive index 1.5 with both faces of equal radii of curvature. Find the value of curvature.

PRADEEP-RAY OPTICS-Solved Example(b)
  1. Shows a thin lens with centres of curvature C1 and C2. If mu = 1.5, wh...

    Text Solution

    |

  2. A diverging lens of refractive index 1.5 and focal length 15 cm in air...

    Text Solution

    |

  3. A double convex lens made of glass of refractive index 1.56 has both r...

    Text Solution

    |

  4. Find the radius of curvature of convex surface of a plano convex lens,...

    Text Solution

    |

  5. A magician during a show makes a glass lens mu = 1.5 disappear in a th...

    Text Solution

    |

  6. The focal length of an equiconvex lens is equal to radius of curvature...

    Text Solution

    |

  7. Explain what happens when a convex lens of refractive index 1.2 is imm...

    Text Solution

    |

  8. The graph in shows the variation of image distance (v) with object dis...

    Text Solution

    |

  9. At what distance should an object be placed from a convex lens of foca...

    Text Solution

    |

  10. The image obtained with a convex lens is erect and its length is 4 tim...

    Text Solution

    |

  11. An illuminated object and a screen are placed 90 cm apart. What is the...

    Text Solution

    |

  12. A convergent beam of light passes through a diverging lens of focal le...

    Text Solution

    |

  13. The image obtained with a convex lens is erect and its length is 4 tim...

    Text Solution

    |

  14. A converging lens of focal length 50 cm is placed co-axially in contac...

    Text Solution

    |

  15. Two lens of power + 15 D and - 5 D are in contact with each other. Wha...

    Text Solution

    |

  16. Use the following ray diagram, Fig. to calculate focal length of lens ...

    Text Solution

    |

  17. A convex lens of focal length 10 cm is placed co-axially 5 cm away fro...

    Text Solution

    |

  18. A concave lens is placed in contact with a convex lens of focal length...

    Text Solution

    |

  19. (i) If f = + 0.5 m, what is the power of the lens ? (ii) The radii o...

    Text Solution

    |

  20. A real image of an object is formed at a distance of 20 cm from a lens...

    Text Solution

    |