In a Young's double-slit experiment,the slits | vedclass

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(D) The condition for bright fringes is $d \sin 	heta = n \lambda$,where $n$ is an integer.Given $d = 0.320 \, mm = 0.320 	imes 10^{-3} \, m$ and $\

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$641$

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(D) The condition for bright fringes is $d \sin 	heta = n \lambda$,where $n$ is an integer.Given $d = 0.320 \, mm = 0.320 	imes 10^{-3} \, m$ and $\lambda = 500 \, nm = 500 	imes 10^{-9} \, m$.The maximum path difference at $	heta = 30^\circ$ is $\Delta X_{\max} = d \sin 30^\circ = 0.320 	imes 10^{-3} 	imes 0.5 = 0.16 	imes 10^{-3} \, m$.The maximum order $n$ is given by $n = \frac{\Delta X_{\max}}{\lambda} = \frac{0.16 	imes 10^{-3}}{500 	imes 10^{-9}} = \frac{0.16 	imes 10^6}{500} = 320$.Since the range is $-30^\circ \le 	heta \le 30^\circ$,we observe bright fringes for $n = 0, \pm 1, \pm 2, \dots, \pm 320$.The total number of bright fringes is $2n + 1 = 2(320) + 1 = 641$.

In a Young's double-slit experiment,the slits are placed $0.320 \, mm$ apart. Light of wavelength $\lambda = 500 \, nm$ is incident on the slits. The total number of bright fringes that are observed in the angular range $-30^\circ \le \theta \le 30^\circ$ is:

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