Using monochromatic light of wavelength lambd | vedclass

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(B) Given the thickness of the mica sheet $t = 1.8 	imes 10^{-6} \ m$,refractive index $\mu = 1.6$,and the shift $y = (\mu - 1)t \frac{D}{d}$.The fri

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$540$

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(B) Given the thickness of the mica sheet $t = 1.8 	imes 10^{-6} \ m$,refractive index $\mu = 1.6$,and the shift $y = (\mu - 1)t \frac{D}{d}$.The fringe width in the first case is $\beta = \frac{\lambda D}{d}$.The fringe width in the third case is $\beta' = \frac{\lambda (2D)}{d} = 2\beta$.Given the condition $y = \beta'$,we have $(\mu - 1)t \frac{D}{d} = 2 \frac{\lambda D}{d}$.Simplifying,we get $(\mu - 1)t = 2\lambda$.Substituting the values: $(1.6 - 1) 	imes 1.8 	imes 10^{-6} = 2\lambda$.$0.6 	imes 1.8 	imes 10^{-6} = 2\lambda$.$1.08 	imes 10^{-6} = 2\lambda$.$\lambda = 0.54 	imes 10^{-6} \ m = 540 \ nm$.

Using monochromatic light of wavelength $\lambda$,an experimentalist sets up the Young's double slit experiment in three ways as shown. If she observes that $y = \beta'$,the wavelength of light used is.....$nm$

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