Advertisements
Advertisements
प्रश्न
The intensity at the central maxima in Young’s double slit experimental set-up is I0. Show that the intensity at a point where the path difference is λ/3 is I0/4.
Advertisements
उत्तर
Intensity at a point is given by,
I = 4I’ cos2∅/2
Where, ∅ = phase difference
I’ = intensity produced by each one of the individual sources.
At central maxima, ∅ = 0,
I = I0 = 4I
`or, I'=I_0 /4 .... (1)`
At path difference `= lambda/3,`
Phase difference,`phi =(2pi)/lambda xx `path difference
`(2pi)/lambda xx lambda / 3 = (2pi)/3`
Now, intensity at this point,
Hence proved.
संबंधित प्रश्न
Show that the angular width of the first diffraction fringe is half that of the central fringe.
Suppose white light falls on a double slit but one slit is covered by a violet filter (allowing λ = 400 nm). Describe the nature of the fringe pattern observed.
If the source of light used in a Young's double slit experiment is changed from red to violet, ___________ .
Find the angular separation between the consecutive bright fringes in a Young's double slit experiment with blue-green light of wavelength 500 nm. The separation between the slits is \[2 \cdot 0 \times {10}^{- 3}m.\]
A thin paper of thickness 0.02 mm having a refractive index 1.45 is pasted across one of the slits in a Young's double slit experiment. The paper transmits 4/9 of the light energy falling on it. (a) Find the ratio of the maximum intensity to the minimum intensity in the fringe pattern. (b) How many fringes will cross through the centre if an identical paper piece is pasted on the other slit also? The wavelength of the light used is 600 nm.
White coherent light (400 nm-700 nm) is sent through the slits of a Young's double slit experiment (see the following figure). The separation between the slits is 0⋅5 mm and the screen is 50 cm away from the slits. There is a hole in the screen at a point 1⋅0 mm away (along the width of the fringes) from the central line. (a) Which wavelength(s) will be absent in the light coming from the hole? (b) Which wavelength(s) will have a strong intensity?
When a beam of light is used to determine the position of an object, the maximum accuracy is achieved, if the light is ______.
In a Young’s double slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case ______.
Two beams of light having intensities I and 41 interfere to produce a fringe pattern on a screen. The phase difference between the two beams are π/2 and π/3 at points A and B respectively. The difference between the resultant intensities at the two points is xl. The value of x will be ______.
The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment is ______.
