A light source, which emits two wavelength \( \lambda_{1}=400 \mathrm{~nm} \) and \( \lambda_{2}...

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A light source, which emits two wavelength \( \lambda_{1}=400 \mathrm{~nm} \) and \( \lambda_{2}=600 \mathrm{~nm} \), is used in a Young's double slit experiment. If recorded fringe widths for \( \lambda_{1} \) and \( \lambda_{2} \) are \( \beta_{1} \) and \( \beta_{2} \) and the number of fringes for them
\( P \) within a distance \( y \) on one side of the centre maximum are \( m_{1} \) and \( m_{2} \), respectively, then
(A) \( \beta_{2}\beta_{1} \)
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(B) \( m_{1}m_{2} \)
(C) From the centre maximum, \( 3^{\text {rd }} \) maximum of \( \lambda_{2} \) overlaps with \( 5^{\text {th }} \) minimum of \( \lambda_{1} \)
(D) The angular separation of fringes for \( \lambda_{1} \) is greater than \( \lambda_{2} \)
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