Home
Class 12
PHYSICS
Find the minimum thcknessof a film which...

Find the minimum thcknessof a film which will strongly reflect the light of wavelength 589 nm. The refractive index of the material of the film is 1.25.

Text Solution

Verified by Experts

The correct Answer is:
`118 mm`

For strong reflection, the least optical path difference introduced by the film should be `(lambda)/(2)`.
Using `2 mu t = (lambda)/(2)`
`t = (lambda)/(4 mu) = (589 nm)/(4 xx 1.25) = 118 nm`
Promotional Banner

Topper's Solved these Questions

  • OPTICS

    PRADEEP|Exercise Problems for practice|4 Videos
  • OPTICS

    PRADEEP|Exercise Comprehension 1|1 Videos
  • OPTICS

    PRADEEP|Exercise Value based questions|3 Videos
  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    PRADEEP|Exercise Competition Focus (Multiple Choice Questions)|2 Videos

Similar Questions

Explore conceptually related problems

A soap film of thickness 0.0011 mm appears dark when seen by reflected light of wavelength 5800Å . What is the refractive index of soap solution if it is between 1.2 and 1.5. [mu = 1.318]

What is the minimum thickness of thin film required for constructive interference in the reflected light through it ? (Given, the refractive index of the film =1.5, wavelength of the lilght incident on the film =600 nm.

What is the minimum thickness of a soap bubble needed for constructive interference in reflected light if the light incident on the film has wavelengths 900 nm ? Assume the refractive index for the film is mu = 1.5

Find the minimum thickness of a film with refractive index 1.33 at which light with wavelength 0.64 mu m experiences maximum reflection while light with wavelength 0.40 mu m is not reflected at all. The incidence angle of light is equal to 30^(@) .

A plastic film with index of refraction 1.80 is put on the surface of a car window to increase the reflectivity and thereby to keep the interior of the car cooler. The widow glass gas index of refraction 1.60. What minimum thickness is required, if light of wavelength 600 nm in air reflected from the two sides of the film is to interfere constructively? (b) It is found to be difficult to manufacture and install coatings as thin as calculated in part (a). What is the next greatest thickness for which there will also be constructive interference?

Interference fringes were produced in Young's double slit experiment using light of wavelength 5000 Ã…. When a film of material 2.5xx 10^(-3) cm thick was placed over one of the slits, the fringe pattern shifted by a distance equal to 20 fringe widths. The refractive index of the material of the film is

A thin uniform film of refractive index 1.75 is placed on a sheet of glass of refractive index 1.5. At room temperature (20^(@) C) this film is just thick enoungh for light with wavelength 600 nm reflected off the top of the film to be canceled by light reflected from the top the glass. After the glass is placed in on oven and slowly heated to 170^(@) C , the film conceals reflected light with wavelength 606 nm. The coefficient of linear expansion of the film is (ignore any changes in the refractive index of the film due to the temperature change)

PRADEEP-OPTICS-Exercise
  1. in a two-slit experiment with monochromatic light, fringes are obtaine...

    Text Solution

    |

  2. A beam of light consisting of two wavelenths, 6500 Å and 5200 Å is use...

    Text Solution

    |

  3. Find the minimum thcknessof a film which will strongly reflect the lig...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. In YDSE, the central bright fringe produced by light of wavelength 560...

    Text Solution

    |

  7. In YDSE, slits are 0.2mm apart. The interference fringes for light of ...

    Text Solution

    |

  8. For an aperture of 2mm and wavelength of 500 nm, Fresnel distance is

    Text Solution

    |

  9. When diameter of objective of an astronomical telescope is doubled, it...

    Text Solution

    |

  10. What is the vlaue of refractive index of a medium of polarising angle ...

    Text Solution

    |

  11. Which of the following cannot be polarised?

    Text Solution

    |

  12. Which of the following statements indicates that light waves are trans...

    Text Solution

    |

  13. A ray of light falls on a transparent slab of mu = 1.0. If reflected a...

    Text Solution

    |

  14. In a single slit diffraction pattern, how is the angular width of cent...

    Text Solution

    |

  15. Sound waves are not electromanetic waves as

    Text Solution

    |

  16. The angle between pass axis of polarizer and analyser is 45^(@). The p...

    Text Solution

    |

  17. In going from a rarer to a denser medium, light loses some speed. What...

    Text Solution

    |

  18. Diffraction of light is

    Text Solution

    |

  19. Diffraction is common in sound but not comon in light waves. Why ?

    Text Solution

    |

  20. In diffraction at a single slit, condition for nth secondary minimum i...

    Text Solution

    |