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(B) The position of the $n^{th}$ bright fringe is given by $x_n = \frac{n D \lambda}{d}$.Given: $n = 3$,$D = 1.4 \,m$,$d = 0.28 \,mm = 0.28 	imes 10^

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$6000$

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(B) The position of the $n^{th}$ bright fringe is given by $x_n = \frac{n D \lambda}{d}$.Given: $n = 3$,$D = 1.4 \,m$,$d = 0.28 \,mm = 0.28 	imes 10^{-3} \,m$,and $x_3 = 0.9 \,cm = 0.9 	imes 10^{-2} \,m$.Substituting these values into the formula:$0.9 	imes 10^{-2} = \frac{3 	imes 1.4 	imes \lambda}{0.28 	imes 10^{-3}}$$\lambda = \frac{0.9 	imes 10^{-2} 	imes 0.28 	imes 10^{-3}}{3 	imes 1.4}$$\lambda = \frac{0.252 	imes 10^{-5}}{4.2} = 0.06 	imes 10^{-5} \,m = 6 	imes 10^{-7} \,m$Converting to $\mathring{A}$: $\lambda = 6 	imes 10^{-7} 	imes 10^{10} \, \mathring{A} = 6000 \, \mathring{A}$.

In Young's experiment,the distance between slits is $0.28 \,mm$ and the distance between the slits and the screen is $1.4 \,m$. The distance between the central bright fringe and the third bright fringe is $0.9 \,cm$. What is the wavelength of the light used in $\mathring{A}$?

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