Home
Class 12
PHYSICS
Consider the situation of the previous p...

Consider the situation of the previous problem, if the mirror reflects only 64% of the light energy falling on it, what will be the ratio of the maximum to the minimum intensity in the interference pattern observed on the screen ?

A

4:1

B

9:1

C

16:1

D

81:1

Text Solution

Verified by Experts

The correct Answer is:
A

Given that the miror reflects 64% of energy (intensity) of light
So, `I_1/I_2=0.64=16/25`
`=r_1/r_2=4/5`
So, `I_(max)/I_(min)=((r_1+r_2)^2)/((r_1-r_2)^2)`
`=((4+5)^2)/(4-5)^2)=81:1`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A narrow monochromatic beam of light of intensity I is incident on a galss plate as shown in figure. Another identical glass plate is kept close to the first one & parallel to it. Each glass plate reflects 25% of the light incident on it and transmits the remaining find the ratio of the minimum & the maximum intensities in the interference pattern formed by the two beams obtained after one reflection at each plate.

A point sources S emitting light of wavelength 600nm is placed at a very small height h above the flat reflecting surface AB (see figure).The intensity of the reflected light is 36% of the intensity.interference firnges are observed on a screen placed parallel to the reflecting surface a very large distance D from it. (A)What is the shape of the interference fringes on the screen? (B)Calculate the ratio of the minimum to the maximum to the maximum intensities in the interference fringes fromed near the point P (shown in the figure) (c) if the intenstities at point P corresponds to a maximum,calculate the minimum distance through which the reflecting surface AB should be shifted so that the intensity at P again becomes maximum.

In interference pattern if the slit widths are in the ratio 1:9 then find out the ratio of minimum and maximum intensity

A screen is at distance D = 80 cm form a diaphragm having two narrow slits S_(1) and S_(2) which are d = 2 mm apart. Slit S_(1) is covered by a transparent sheet of thickness t_(1) = 2.5 mu m slit S_(2) is covered by another sheet of thikness t_(2) = 1.25 mu m as shown if Fig. 2.52. Both sheets are made of same material having refractive index mu = 1.40 Water is filled in the space between diaphragm and screen. Amondichromatic light beam of wavelength lambda = 5000 Å is incident normally on the diaphragm. Assuming intensity of beam to be uniform, calculate ratio of intensity of C to maximum intensity of interference pattern obtained on the screen (mu_(w) = 4//3)

In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. Distance between two coherent sources whichmakes interference pattern on the screen is

In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. Fringe width is

In the figure shown S is a point monochromatic light source of frequency 6xx10^(14)Hz .M is a concave mirror of radius of curvature 20 cm and L is a thin converging lens of focal length 3.75 cm AB is the principal axis of M and L. Light reflected from the mirror and refracted from the lens in succession reaches the screen. An interference pattern is obtained on the screen by this arrangement. Q. If the lens is replaced by another converging lens of focal length (10)/(3)cm and the lens is shifted towards right by 2.5 cm then

Thin films, including soap bubbles and oil slicks, show patterns of alternating dark and bright regions resulting from interference among the reflected light waves. If two waves are in phase their crest and troughs will coincide. The interference will be constructive and the aplitude of the resultant wave will be greater than the amplitude of either constituent wave. if the two waves are out of phase, the crests of one wave will coincide with the troughs of the other wave. The interference will be destructive and the amplitude of the resultant wave will be less than that of either constituent wave. at the interface between two transparent media some light is reflected and some light is refracted. * When incident light, reaches the surface at point a, some of the light is reflected as ray R_(a) and and some is refracted following the path ab to the back of the film. *At point b some of the light is refracted out of the film and part is reflected back refracted out of the fiml as ray R_(c) . R_(a) and R_(c) are parallel. However, R_(c) has travelled the extra distance within the film of abc. if the angle of incidence is small then abc is approximately twice the film's thickness. if R_(a) and R_(c) are in phase they will undergo constructive interference and the region ac will be bright if R_(a) and R_(c) are out of phase, they will undergo destructive interference. * Refraction at an interface never changes the phase of the wave. * For reflection at the interface between two media 1 and 2, if n_(1)ltn_(2) the reflected wave will change phase by pi . if n_(1)gtn_(2) the reflected wave will not undergo a phase change. for reference n_(air)=1.00 * if the waves are in phase after refection at all interfaces, then the effects of path length in the film are Constructive interference occur when (n= refractive index) 2t=mlamda//n" "m=0,1,2,3... .. Destructive interference occurs when 2t=(m+1//2)lamda//n" "m=0,1,2,3... Q. The average human eye sees colors with wavelengths between 430 nm to 680 nm. For what visible wavelength will a 350 nm thick n=1.35 soap film produce maximum destructive interference?

The young's double slit experiment is done in a medium of refractive index 4//3 .A light of 600nm wavelength is falling on the slits having 0.45 mm separation .The lower slit S_(2) is covered by a thin glass sheet of thickness 10.4mu m and refractive index 1.5 .the intereference pattern is observed ona screen placed 1.5m from the slits are shown (a) Find the location of the central maximum (bright fringe with zero path difference)on the y-axis. (b) Find the light intensity at point O relative to the maximum fringe intensity. (c )Now,if 600nm light is replaced by white light of range 400 to700 nm find the wavelength of the light that from maxima exactly point O .[All wavelengths in this problem are for the given medium of refractive index 4//3 .Ignore dispersion]

HC VERMA-LIGHT WAVES-Exercises
  1. A narrow slit S transmitting light of wavelength lamda is placed a dis...

    Text Solution

    |

  2. A long narrow horizontal slit is placed 1 mm above a horizontal plane ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |