Inderiving the single slit diffraction pattern- it was stated that theintensity is zero at angles of n lambda-a-Justify this by suitably dividing the slit to bring out thecancellation-

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Standard XII

Physics

YDSE Problems I

Inderiving th...

Question

Inderiving the single slit diffraction pattern, it was stated that theintensity is zero at angles of nλ/a.Justify this by suitably dividing the slit to bring out thecancellation.

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Solution

Consider that a singleslit of width d is divided into n smaller slits.
Widthof each slit,
Angle of diffraction isgiven by the relation,
Now, each of theseinfinitesimally small slit sends zero intensity in directionθ.Hence, the combination of these slits will give zero intensity.

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Inderiving the single slit diffraction pattern, it was stated that theintensity is zero at angles of nλ/a.Justify this by suitably dividing the slit to bring out thecancellation.

Consider that a singleslit of width d is divided into n smaller slits.Widthof each slit, Angle of diffraction isgiven by the relation, Now, each of theseinfinitesimally small slit sends zero intensity in directionθ.Hence, the combination of these slits will give zero intensity.

Consider that a singleslit of width d is divided into n smaller slits.
Widthof each slit,
Angle of diffraction isgiven by the relation,
Now, each of theseinfinitesimally small slit sends zero intensity in directionθ.Hence, the combination of these slits will give zero intensity.