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(D) The situation is shown in the figure. In the figure,$A$ and $B$ represent the edges of the slit $AB$ of width $a$,and $C$ represents the midpoint

Vedclass · Accepted Answer

$\pi 	ext{ rad}$

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(D) The situation is shown in the figure. In the figure,$A$ and $B$ represent the edges of the slit $AB$ of width $a$,and $C$ represents the midpoint of the slit. For the first minimum at $P$,the condition is given by:$a \sin 	heta = \lambda$  ...... $(i)$where $\lambda$ is the wavelength of light.The path difference $\Delta x$ between the wavelets from the edge $A$ and the midpoint $C$ is:$\Delta x = \frac{a}{2} \sin 	heta = \frac{1}{2}(a \sin 	heta) = \frac{\lambda}{2}$ (using equation $(i)$).The corresponding phase difference $\Delta \phi$ is given by the relation:$\Delta \phi = \frac{2 \pi}{\lambda} \Delta x = \frac{2 \pi}{\lambda} 	imes \frac{\lambda}{2} = \pi 	ext{ rad}$.

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern,the phase difference between the Huygens' wavelet from the edge of the slit and the wavelet from the midpoint of the slit is

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