Home
Class 12
PHYSICS
Light of wavelength 560 nm goes through ...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
A, C
`lamda=560nm`
`=560xx10^-9m`
`d=0.20mm`
`d0.20mm`
`=2xx10^-4m, D=2m`
`Since R=1.22(lamdaD)/d`
=1.22xx(560xx10^-9xx2)/(2xx10^I-4)`
`=6.832xx10^-3M`
`=0.683cm`
So, diameter =2R=1.37cm
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Red light of wavelength 6500 Å from a distant source falls on a slit 0.50 mm wide. Calculate the distance between first two dark bands on each side of central bright band in the diffraction pattern observed on a screen placed 1.8 m from the slit.

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed i m away was found to be 0.2^(@) . What will be the angular width of the first minima if the entire experimental apparatus is immersed in water (u_("water")=4//3)

Light of wavelength 5000 Å is incident on a slit of width 0.1 mm. Find out the width of the central bright line on a screen distance 2m from the slit?

Light of wavelength 6000Å is incident on a slit of width 0.30 mm. The screen is placed 2 m from the slit. Find (a) the position of the first dark fringe and (b). The width of the central bright fringe.

A glass sheet 12xx10^(-3) mm thick (mu_(g)=1.5) is placed in the path of one of the interfering beams in a Yongs's double slit interference arrangement using monochromatic light of wavelenght 6000 A. If the central bright fringe shifts a distance equal to width of 10 bands. What is the thickness of the sheet of diamond of refractive index 2.5 that has to be introduced in the path of second beam to bring th ecentral bright fringe to original position?

Consider a 20 W bulb emitting light of wavelength 5000 Å and shining on a metal surface kept at a distance 2m.Assume that the metal surface has work function of 2eV and that each atom on the metal surface can be treated as a circular disk of radius 1.5 Å. (i)Estimate no. of photons emitted by the bulb per second.[Assume no other losses] (ii)Will much time would be required by the atomic disk to receive energy equal to work function (2eV)? (iv)How many photons would atomic disk receive within time duration calculated in (iii)above? (v) Can you explain how photoelectric effect was observed instantaneously?

In YDSE, bichromatic light of wavelengths 400 nm and 560 nm are used. The distance between the slits is 0.1 mm and the distance between the plane of the slits and the screen is 1m. The minimum distance between two successive regions of complete darkness is

Light of wavelength 6328 Å is incident normally on a slit of width 0.2 mm. Calculate the angular width of central maximum on a screen distance 9 m?

Plane sound waves of wavelength 0.12 m are incident on two narrow slits in a box nonreflecting walls, as shown. At a distance of 5.0 m from the center of the slits, a first-order maximum occurs at point P, which is 3.0 m from the central maximum. The distance between the slits is most nearly. .

A vessel ABCD of 10 cm width has two small slits S_(1) and S_(2) sealed with idebtical glass plates of equal thickness. The distance between the slits is 0.8 mm . POQ is the line perpendicular to the plane AB and passing through O, the middle point of S_(1) and S_(2) . A monochromatic light source is kept at S, 40 cm below P and 2 m from the vessel, to illuminate the slits as shown in the figure. Calculate the position of the central bright fringe on the other wall CD with respect of the line OQ . Now, a liquid is poured into the vessel and filled up to OQ . The central bright fringe is fiund to be at Q. Calculate the refractive index of the liquid.

HC VERMA-LIGHT WAVES-Exercises
  1. A long narrow horizontal slit is placed 1 mm above a horizontal plane ...

    Text Solution

    |

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

    Text Solution

    |

  3. A double slit S1-S-2 is illuminated by a coherent light of wavelength ...

    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

    |