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

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(D) The formula for fringe width is $\beta = \frac{\lambda D}{d}$.When the screen is moved by $\Delta D$,the change in fringe width is given by $\Delt

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$6 	imes 10^{-7} \, m$

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(D) The formula for fringe width is $\beta = \frac{\lambda D}{d}$.When the screen is moved by $\Delta D$,the change in fringe width is given by $\Delta \beta = \frac{\lambda \Delta D}{d}$.Given: $\Delta \beta = 3 	imes 10^{-5} \, m$,$\Delta D = 5 	imes 10^{-2} \, m$,and $d = 10^{-3} \, m$.Rearranging the formula to solve for wavelength $\lambda$:$\lambda = \frac{(\Delta \beta) d}{\Delta D}$Substituting the values:$\lambda = \frac{(3 	imes 10^{-5} \, m) 	imes (10^{-3} \, m)}{5 	imes 10^{-2} \, m}$$\lambda = \frac{3 	imes 10^{-8}}{5 	imes 10^{-2}} \, m = 0.6 	imes 10^{-6} \, m = 6 	imes 10^{-7} \, m$.

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