Home
Class 12
PHYSICS
A convex lens of diameter 8.0 cm is used...

A convex lens of diameter 8.0 cm is used to focus a parallel beam of light of wavelength 620 nm. If the light be focused at a distance of 20 cm from the lens, what would be the radius of the central bright spot formed ?

Text Solution

Verified by Experts

The correct Answer is:
A, C

`lamda =620nm =620xx10^-9m,
D=20cm=20xx10^-2m,
d=8cm=8xx10^-2m`
`:.R=1.22xx(620xx10^-9xx20xx10^-2)/(8xx10^-2)`
`=1891xx10^-9`
`=1.9xx10^-6m`
So, diameter `=2R=3.8xx10^-6m`
Promotional Banner

Topper's Solved these Questions

  • LIGHT WAVES

    HC VERMA|Exercise Objective -2|10 Videos
  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|79 Videos
  • MAGNETIC FIELD

    HC VERMA|Exercise Exercises|60 Videos

Similar Questions

Explore conceptually related problems

Light of wavelength 560 nm goes through a pinhole of diameter 0.20 mm and falls on a wall at a distance of 2.00 m. What will be the radius of the central bright spot formed on the wall ?

A beam of light of wavelength 590 nm is focused by a converging lens of diameter 10.0 cm at a distance of 20 cm from it. find the diameter of the disc image formed.

A beam of light passing through a diverging lens of focal length 0.3 m appear to be focused at a distance 0.2 m behind the lens. Find the position of the object.

An extended object is placed at a distance of 5.0 cm from a convex lens of focal length 8.0 cm. (a) Draw the ray diagram (to the scale) to locate the image and from this, measure the distance of the image from the lens, (b) Find the position of the image from the lens formula and see how close the drawing is to the correct result.

A pin of length 2.0 cm lies along the principal axis of a converging lens, the centre being at a distance of 11 cm from the lens. The focal length of the lens is 6 cm. Find the size of the image.

For a parallel beam of monochromatic light of wavelength lambda diffraction is produced by a single slit whose width 'a' is of the order of the wavelength of the light. If 'D' is the distance of the screen from the slit, the width of the central maxima will be:

A double convex lens made of glass of refractive index 1.5 has both radii of curvature 20 cm each. Find the focal length of the lens. If an object is placed at a distance of 15 cm from this lens, find the position of the image formed.

A sphere of radius 1.00 cm is placed in the path of a parallel beam of light of large aperture. The intensity of the light is 0.50 W cm^-2 . If the sphere completely absorbs the radiation falling on it, find the force exerted by the light beam on the sphere.

An object of length 2.0 cm is placed perpendicular to the principal axis of a convex lens of focal length 12 cm. Find the size of the image of the object is at a distance of 8.0 cm from the lens.

HC VERMA-LIGHT WAVES-Exercises
  1. Two slits are made 1 min apart and the screen is placed 1 m away from ...

    Text Solution

    |

  2. Consider the situation of the previous problem, if the mirror reflects...

    Text Solution

    |

  3. A double slit S1-S2 is illuminated by a coherent light of wavelength l...

    Text Solution

    |

  4. White coherent light (400 nm-700 nm) is sent through the slits of a YD...

    Text Solution

    |

  5. Consider the arrangement shown in figure. The distance D is large comp...

    Text Solution

    |

  6. Two coherent point sources S1 and S2 emit light of wavelength lambda. ...

    Text Solution

    |

  7. figure shows three equidistant slits illuminated by a monochromatic pa...

    Text Solution

    |

  8. In a Young's double slit experiment, the separation between the slits ...

    Text Solution

    |

  9. In a Young's double slit interference experiment the fringe pattern is...

    Text Solution

    |

  10. In a Young's double slit experiment lamda= 500nm, d=1.0 mm andD=1.0m. ...

    Text Solution

    |

  11. The line-width of a bright fringe is sometimes defined as the separati...

    Text Solution

    |

  12. Consider the situation shown in figure. The two slits S1 and S2 placed...

    Text Solution

    |

  13. Consider the arrangement shownin figure. By some mechanism,the separat...

    Text Solution

    |

  14. A soap film of thickness 0.0011 mm appears dark when seen by the refle...

    Text Solution

    |

  15. A parallel beam of light of wavelength 560 nm falls on a thin film of ...

    Text Solution

    |

  16. A parallel beam of white light is incident normally on a water film 1....

    Text Solution

    |

  17. A glass surface is coated by an oil film of uniform thickness 1.00xx10...

    Text Solution

    |

  18. Plane microwaves are incident on a long slit having a width of 5.0 cm....

    Text Solution

    |

  19. Light of wavelength 560 nm goes through a pinhole of diameter 0.20 mm ...

    Text Solution

    |

  20. A convex lens of diameter 8.0 cm is used to focus a parallel beam of l...

    Text Solution

    |