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

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(A) The formula for the position of the $n^{th}$ bright fringe from the central maximum is given by $x_n = \frac{n \lambda D}{d}$.Given values:$n = 3$

Vedclass · Accepted Answer

$0.117 \, cm$

Vedclass · Answer

(A) The formula for the position of the $n^{th}$ bright fringe from the central maximum is given by $x_n = \frac{n \lambda D}{d}$.Given values:$n = 3$$\lambda = 6500 \, \mathring A = 6500 	imes 10^{-10} \, m = 6.5 	imes 10^{-7} \, m$$D = 120 \, cm = 1.2 \, m$$d = 2 \, mm = 2 	imes 10^{-3} \, m$Substituting these values into the formula:$x_3 = \frac{3 	imes 6.5 	imes 10^{-7} 	imes 1.2}{2 	imes 10^{-3}}$$x_3 = \frac{23.4 	imes 10^{-7}}{2 	imes 10^{-3}}$$x_3 = 11.7 	imes 10^{-4} \, m$$x_3 = 1.17 	imes 10^{-3} \, m = 0.117 \, cm$.Thus,the correct option is $A$.

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