मराठी

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. - Physics

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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.

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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.

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2011-2012 (March) Foreign Set 1

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