Home
Class 12
PHYSICS
In Example 10.3, what should the width o...

In Example 10.3, what should the width of each slit be to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern?

Text Solution

Verified by Experts

We want `a theta=lambda, theta=(lambda)/(a)`
`10(lambda)/(d)=2(lambda)/(a)a=(d)/(5)=02mm`
Notice that the wavelength of light and distance of the screen do not enter in the calculation of a.
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    NCERT TAMIL|Exercise EXERCISES|26 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    NCERT TAMIL|Exercise ADDITIONAL EXERCISES|8 Videos

Similar Questions

Explore conceptually related problems

In double slit experiment ,the two slits are lmm apart and the screen is placed I m away. A monochromatic ligth of wavelength 500 nm is used .What will be the width of each slit for obtaining ten maxima of double within the central maxima of single slit pattern?

The width of one of the two slits in a Young's double slit experiment is double of the other slit. Assuming that the amplitude of the light coming from a slit is proportional to the slit width, find the ratio of the maximum to the minimum intensity in the interference pattern.

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 parallel beam of light of wavelength 435 nm falls on a slit of width 0.4 mm. Find the distance between two dark bands on either side so the central maximum of the pattern produced on a screen placed at a distance of 2m from the slit.

Plane wave of lamda=600 nm incident normally on a slit of width 0.18 mm. Calculate the total angular wideth of the central maximum.

The intensity of the light coming from one of the slits in a Young's double slit experiment is double the intensity from the other slit. Find the ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed.

We obtained alternate dark and bright regions If we look at the shadow byan obstacle close to geometrical shadow. a. Mention the phenomenon behind it. b.Differentiate the interference pattern with a coherently illuminated single slit diffraction pattern.

A beam of light consisting of two wavelengths, 6500 Å and 5200 Å is used to obtain interference fringes in a Young's double slit experiment (1 Å = 10^(-10) m). The distance between the slits is 2.0 mm and the distance between the plane of the slits and the screen in 120 cm. (a) Find the distance of the third bright fringes on the screen from the central maximum for the wavelength 6500 Å (b) What is the least distance from the central maximum where the bright fringes due to both the wavelengths coincide ?

In a double slit interference experiment, the separation between the slits is 1.0 mm, the wavelength of light used is 5.0 x 10^ -7 m and the distance of the screen from the slits is 1.0 m. (a) Find the distance of the centre of the first minimum from the centre of the central maximum. (b) How many bright fringes are formed in one centimeter width on the screen ?

A plate of thickness t made of a material of refractive index mu is placed in front of one of the slits in a double slit experiment. (a) Find the changes in he optical path due to introduction of the plate. (b) Wht should be the minimum thickness t which will make the intensity at the centre of the fringe pattern zero ? Wavelength of the light used is lamda . Neglect any absorption of light in the plate.

NCERT TAMIL-WAVE OPTICS-EXERCISES
  1. In Example 10.3, what should the width of each slit be to obtain 10 ma...

    Text Solution

    |

  2. Monochromatic light of wvalength 589 nm is incident from air on a wate...

    Text Solution

    |

  3. What is the shape of the wavefront in each of the following cases ? ...

    Text Solution

    |

  4. (a) The refractive index of glass is 1.5. What is the speed of light i...

    Text Solution

    |

  5. In a Young's double-slit experiment , the slits are separated by 0.28 ...

    Text Solution

    |

  6. In Young's double slit experiment using monochromatic light of wavelen...

    Text Solution

    |

  7. A beam of light consisting of two wavelengths 650 nm and 520 nm is use...

    Text Solution

    |

  8. In a double slit experiment the angular width of a fringe is found to ...

    Text Solution

    |

  9. What is Brewster angle for air to glass transtion ? (mu of glass is 1....

    Text Solution

    |

  10. Light of wavelength 5000 Å falls on a plane reflecting surface. What a...

    Text Solution

    |

  11. Estimate the distance for which for which ray optics is good approxima...

    Text Solution

    |

  12. The 6563 Å H(2) line emitted by hydrogen in a star is found to be red ...

    Text Solution

    |

  13. Explain how Corpuscular theory predicts the speed of light in a medium...

    Text Solution

    |

  14. You have learnt in the text how Huygens’ principle leads to the laws o...

    Text Solution

    |

  15. Let us list some of the factors, which could possibly infuence the spe...

    Text Solution

    |

  16. For sound waves, the Doppler's formula for frequency shift differs sli...

    Text Solution

    |

  17. In double slit experiment using light of wavelength 600 nm, the angula...

    Text Solution

    |

  18. In a single slit diffraction experiment, the width of the slit is made...

    Text Solution

    |

  19. Answer the following questions: (b) In what way is diffraction from ...

    Text Solution

    |

  20. Answer the following questions: (c) When a tiny circular obstacle is...

    Text Solution

    |

  21. Answer the following questions: (d) Two students are separated by a ...

    Text Solution

    |