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A point source S emitting light of wavel...

A point source S emitting light of wavelength 600 nm is placed at a very small height h above flat reflecting surface AB (see figure). The intensity of the reflected light is 36% of the incident intensity. Interference fringes are observed on a screen placed parallel to the reflecting surface at a very large distance D from it.

(a) What is the shape of the interference fringes on the screen ?
(b) Calculated the ratio of the minimum to the maximum intensities in the interference fringes formed near the point P (shown in the figure)
(c) if the intensity at point P corresponds to a maximum, calculated the minimum distance through which the reflecting surface AB should be shifted so that the intensity at P again becomes maximum.

Text Solution

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(a)Circular , (b)`1/16` , (c )300 nm
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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.

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 ?

Knowledge Check

  • A point is emitting light of wavelength 6000Å is placed at a very small height h above a flat reflecting surface MN as shown in the figure.The intensity of the reflected light is 36\% of the incident intensity.Interference fringes are observed on a screen placed parallel to the reflecting surface at a very large distance D from it. The shape of the intereference fringes on the screen is

    A
    circle
    B
    square
    C
    parbola
    D
    straight line
  • A point is emitting light of wavelength 6000Å is placed at a very small height h above a flat reflecting surface MN as shown in the figure.The intensity of the reflected light is 36% of the incident intensity.Interference fringes are observed on a screen placed parallel to the reflecting surface at a very large distance D from it. If the intensity at pbe maximum then the minimum distance through which the reflecting suface MN should be displaced so that at P again becomes a mixture.?

    A
    `3xx10^(-10)m`
    B
    `6xx10^(-10)m`
    C
    `1.5xx10^(-10)m`
    D
    `12xx10^(-10)m`
  • A point source S emits light of wavelength 600 nm. It is palced at a very small distance from a flat reflecting mirror AB. Interface. Frignes as observed on the screen placed parallel to reflecting surface at very large distance D from it. The ratio of minimum to maximum intensities in the interference frignes formed near the point P is 1/6. Q. If the intensity of P correspoonds to a maximum, calculate the minimum distance through which the reflecting surface AB should so that intensity at P again becomes maximum.

    A
    150 nm
    B
    300 nm
    C
    450 nm
    D
    575 nm
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