Home
Class 12
PHYSICS
A parallel beam of monochromatic light o...

A parallel beam of monochromatic light of wavelength 450 m passes through a long slit of width 0.2 mm. find the angular divergence in which most of the light is diffracted.

Text Solution

Verified by Experts

Most of the light is diffracted between the two first order minima. These minima occur at angles given by `bsintheta=+-lamda`.
or `sintheta=+-lamda/b`
`=+-(450x10^-9m)/(0.2xx10^-3m)=+-2.25xx10^-3`
`theta=+-2.25xx10^-3rad.`
The angular divergence `=4.5xx10^-3 rad`.
Promotional Banner

Topper's Solved these Questions

  • LIGHT WAVES

    HC VERMA|Exercise Worked Out Examples|11 Videos

  • LIGHT WAVES

    HC VERMA|Exercise Short Answer|11 Videos

  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|77 Videos

  • MAGNETIC FIELD

    HC VERMA|Exercise Exercises|61 Videos

Similar Questions

Explore conceptually related problems

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

Aparallel beam of monochromatic light of wavelength 4000 Å is incident normally on a single narrow slit of width 0.0008 mm. The light is focused by a a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

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 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?

Monochromatic light of wavelength 5000 A is incident on narrow slit of width 0.001 mm. Now this light is focused on screen placed on focal plane of convex lens. For this interference first minima will be obtained at ...

A parallel beam of light of wavelength lambda is incident normally on a single slit of width d. Diffraction bands are obtained on a screen placed at a distance D from the slit. The second dark band from the central bright band will be at a distance given by ....

A parallel beam of light of wavelength 500 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1 m away. It is observed that the first minimum is at a distance of 2.5 mm from the centre of the screen. Find the width of the slit.

In a double slit experiments, the two slits are 1 mm apart and the screen is placed in away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double sli within the central maxima of single sli pattern?

Light wavelength 6000 Å is incident normally on a slit of width 24xx10^(-5) cm. find out the angular position of seconds minimum from central maximum?

A 25 watt bulb emits monochromatic yellow light of wavelength of 0.57 mu m .Calculate the rate of emission of quanta per second .

HC VERMA-LIGHT WAVES-Exercises
  1. A parallel beam of monochromatic light of wavelength 450 m passes thro...

    Text Solution

    |

  2. Find the range of frequency of light that is visible to an average hum...

    Text Solution

    |

  3. The wavelength of sodium light in air is 589 nm. (a) Find its frquenc...

    Text Solution

    |

  4. The index of refraction of flised quartz is 1.472 for light of wavelen...

    Text Solution

    |

  5. The speed of the yellow light in a certain liquid is 2.4 x 10^ 8 ms^-1...

    Text Solution

    |

  6. Two narrow slits emitting light in phase are separated by a distance o...

    Text Solution

    |

  7. The separation between the. consecutive dark fringes in a Young's doub...

    Text Solution

    |

  8. In a double slit interference experiment, the separation between the s...

    Text Solution

    |

  9. In a Young's double slit experiment, two narrow vertical slits placed ...

    Text Solution

    |

  10. Find the angular separation between the consecutive bright fringes in ...

    Text Solution

    |

  11. A source emitting light of wavelengths 480 nm and 600 nm is used in a ...

    Text Solution

    |

  12. White light is used in a Young's double slit experiment. Find the mini...

    Text Solution

    |

  13. Find the thickness of a plate which will produce a change in optical p...

    Text Solution

    |

  14. A plate of thickness t made of a material of refractive index mu is pl...

    Text Solution

    |

  15. A transparent paper (refractive index = 1.45) of thickness 0-02 mm is ...

    Text Solution

    |

  16. In a Young's double slit experiment using monochromatic light, the fri...

    Text Solution

    |

  17. A mica strip and a polysterence strip are fitted on the two slite of ...

    Text Solution

    |

  18. Two transparent slabs having equal thickness but different refractive ...

    Text Solution

    |

  19. A thin paper of thickness 0.02 mm having a refractive index 1.45 is pa...

    Text Solution

    |

  20. A Young's double slit apparatus has slits separated by 0.28 mm and a s...

    Text Solution

    |

  21. A parallel beam of monochromatic light is used in a Young's double sli...

    Text Solution

    |