Two coherent sources, $$S1$$ and $$S2$$ lie along the $$y-axis$$ and a detector moves along $$+x-axis$$. The sources are separated by a distance four times the wavelength λ of the source. Find the number of points where maxima are observed, leaving the origin and $$far-off$$ points.

Question

Infinity Learn · Accepted Answer

In Δ$$S1S2D$$, from pythagoras theorem we can write $$S1D2=S1S22+S1D2S1P+PD2=S1S22+S2D2Here$$ $$S1$$ P is the path difference at point D from the two sources. For maximum intensity at point D it should be $$=$$ nλ. $$LetPD=S2D=xn$$. Then,nλ$$+xn2=(4$$λ$$)2+xn2or$$ $$xn=16$$λ$$2$$−$$n2$$λ$$22n$$λThen $$x1=16$$λ$$2$$−λ$$22$$λ$$=7.5$$λ$$x2=16$$λ$$2$$−$$4$$λ$$24$$λ$$=3$$λ$$x3=16$$λ$$2$$−$$9$$λ$$26$$λ$$=76$$λ$$x4=0Thus$$ number of points for maxima are $$3$$.

Two coherent sources, S₁ and S₂ lie along the y-axis and a detector moves along +x-axis. The sources are separated by a distance four times the wavelength λ of the source. Find the number of points where maxima are observed, leaving the origin and far-off points.

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Two coherent sources, S1 and S2 lie along the y-axis and a detector moves along +x-axis. The sources are separated by a distance four times the wavelength λ of the source. Find the number of points where maxima are observed, leaving the origin and far-off points.

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Two coherent sources, S₁ and S₂ lie along the y-axis and a detector moves along +x-axis. The sources are separated by a distance four times the wavelength λ of the source. Find the number of points where maxima are observed, leaving the origin and far-off points.