Assertion : No interference pattern is detect | vedclass

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(A) The fringe width $\beta$ in a Young's double-slit experiment is given by the formula $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the waveleng

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) The fringe width $\beta$ in a Young's double-slit experiment is given by the formula $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the wavelength of light,$D$ is the distance between the slits and the screen,and $d$ is the distance between the two coherent sources (slits).From the formula,it is clear that $\beta \propto \frac{1}{d}$.As the two coherent sources become infinitely close to each other,$d 	o 0$.Consequently,the fringe width $\beta 	o \infty$.When the fringe width becomes extremely large,the entire screen may be covered by a single bright or dark fringe,making it impossible to observe a distinct interference pattern.Therefore,both the Assertion and the Reason are correct,and the Reason provides the correct explanation for the Assertion.

Assertion : No interference pattern is detected when two coherent sources are infinitely close to each other.
Reason : The fringe width is inversely proportional to the distance between the two slits.

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Assertion : No interference pattern is detected when two coherent sources are infinitely close to each other.Reason : The fringe width is inversely proportional to the distance between the two slits.