Home
Class 12
PHYSICS
An equiconvex lens in cut into two halve...

An equiconvex lens in cut into two halves along (i) XOX' f,f',f'' be the focal lengths of the complete lens, of each half in case (i) and of each half in case (ii) respectively.
Choose the correct statement from the following

A

`f^(')=f,f^('')=2f`

B

`f^(')=2f,f^('')=f`

C

`f^(')=f,f^('')=f`

D

`f^(')=2f,f^('')=2f`

Text Solution

Verified by Experts

The correct Answer is:
a.
In the first case, neither the radii of curvature nor the material of the lens is affected. In the second case.
`(1)/(f^(''))=(mu-1)((1)/(R))` or
`(1)/(f^(''))=(1)/(2)(mu-1)((2)/(R))=(1)/(2f)`
``or `f^('')=2f`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Assertion-Reasoninig|2 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|51 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|26 Videos

  • ELECTRON,PHONTS,PHOTOELECTRIC EFFECT & X-RAYS

    CENGAGE PHYSICS ENGLISH|Exercise dpp 3.3|15 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

Similar Questions

Explore conceptually related problems

An equiconvex lens is cut into two halves along (i) XOX^(') and (ii) YOY^(') as shown in the figure. Let f,f^(')f^('') be the focal lengths of the complete lens, of each half in case (i) , and of each half in case (ii) , respectively Choose the correct statement from the following

An equiconvex lens of focal length 15 cm is cut into two equal halves in thickness. What is the focal length of each half ?

The focal length of a converting lens are f_(v) and f_(r) for violet and red lights, respectively. Which of the following is correct?

A bar magnet of magnetic moment 80 units is cut into two halves of equal length, the magnetic moment of each half will be:

The figure shows and equiconvex lens of focal length f. It the lens is cut along PQ, the focal length of each half will be

If a equiconvex lens of focal length f is cut into two halves by a plane perpendicular to the principal axis, then

If f_o and f_e are the focal lengths of the objective lens and eye-piece lens respectively for a telescope, the length of telescope in normal adjustment is

The focal length ofa converging lens are f_v and f_r for violet and red light respectively.

An equi-convex lens of focal length F in air is is cut into two halves along the plane perpendicular to the optic axis. One of the halves is placed between a fixed object and a screen separated by distance of 90 cm . Two images are formed on the screen for two different positions of the lens with magnification 2 and 1/2 respectively. Find the value of F . what would be the value of the focal length of the equiconvex lens if the lens is immersed in water ? Refractive index of the material of the lens is 1.5 and that of water is mu_w=4//3 .

A convex lens of focal length f cut into parts first horizontally and then vertically. Find the focal length of part A of the lens, as shown:

CENGAGE PHYSICS ENGLISH-GEOMETRICAL OPTICS-Single Correct
  1. A lens forms a virtual, diminished image of an object placed at 2m fro...

    Text Solution

    |

  2. Two convex lenses placed in contact form the image of a distant object...

    Text Solution

    |

  3. An equiconvex lens in cut into two halves along (i) XOX' f,f',f'' be t...

    Text Solution

    |

  4. A spherical mirror forms an image of magnification3. The object distan...

    Text Solution

    |

  5. The critical angle of light from medium A to medium B is theta. The sp...

    Text Solution

    |

  6. An object 15cm high is placed 10cm from the optical center of a thin l...

    Text Solution

    |

  7. a convex lens of power +6 dioptre is placed in contact with a concave ...

    Text Solution

    |

  8. A convex lens of focal length 1.0 m and a concave lens of focal length...

    Text Solution

    |

  9. A convex lens A of focal length 20cm and a concave lens G of focal le...

    Text Solution

    |

  10. A convex lens forms an image of an object placed 20cm away from it at ...

    Text Solution

    |

  11. With a concave mirrorr, an object is placed at a distance x(1) from th...

    Text Solution

    |

  12. A concave mirror is placed on a horizontal table with its axis directe...

    Text Solution

    |

  13. A plane mirror is made of glass slab (mu(g)=1.5) 2.5 cm thick and silv...

    Text Solution

    |

  14. A point source of light S, placed at a distance L in front of the cen...

    Text Solution

    |

  15. An object is object at a distance of 25cm from the pole of a convex mi...

    Text Solution

    |

  16. When an object is kept at a distance of 30 cm from a concave mirror, t...

    Text Solution

    |

  17. A convex mirror of radius of curvature 1.6m has an object placed at a ...

    Text Solution

    |

  18. In the above question, the magnification is

    Text Solution

    |

  19. A convex and a concave mirror of radii 10 cm are placed facing each ot...

    Text Solution

    |

  20. A piece of wire bent into an L shape with upright and horizontal porti...

    Text Solution

    |