8. The Young’s double slit experiment is performed with blue and with green light of wavelengths 4360Å and 5460Å respectively. If x is the distance of 4th maxima from the central one, then :
\((a)\; x_{\text{(blue)}} = x_{\text{(green)}}\)
\((b)\; x_{\text{(blue)}} > x_{\text{(green)}}\)
\((c)\; x_{\text{(blue)}} < x_{\text{(green)}}\)
\((d)\; \dfrac{x_{\text{(blue)}}}{x_{\text{(green)}}} = \dfrac{5460}{4360}\)
Answer : \((c)\; x_{\text{(blue)}} < x_{\text{(green)}}\)
\(\beta = \frac{\lambda D}{d}\)
\(x_n = n \frac{\lambda D}{d}\)
\(x_{blue} = 4^{th} Maxima \)
\(= 4\left(\frac{4360\,Å\,D}{d}\right)\)
\(x_{green} = 4\left(\frac{5460\,Å\,D}{d}\right)\)
\( x_{\text{(blue)}} < x_{\text{(green)}}\)
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