A) \[\frac{2{{\lambda }_{1}}}{{{\lambda }_{2}}}\]
B) \[\frac{2{{\lambda }_{2}}}{{{\lambda }_{1}}}\]
C) \[\frac{{{\lambda }_{1}}}{2{{\lambda }_{2}}}\]
D) \[\frac{{{\lambda }_{2}}}{2{{\lambda }_{1}}}\]
Correct Answer: A
Solution :
Position fringe from central maxima \[{{y}_{1}}=\frac{n{{\lambda }_{1}}D}{d}\] Given, \[n=10\] \[\therefore \] \[{{y}_{1}}=\frac{10{{\lambda }_{1}}D}{d}\] ?.(i) For second source \[{{y}_{2}}=\frac{5{{\lambda }_{2}}D}{d}\] ??(ii) \[\therefore \] \[\frac{{{y}_{1}}}{{{y}_{2}}}=\frac{d}{\frac{5{{\lambda }_{2}}D}{d}}\] \[\Rightarrow \] \[\frac{{{y}_{1}}}{{{y}_{2}}}=\frac{2{{\lambda }_{1}}}{{{\lambda }_{2}}}\]You need to login to perform this action.
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