NEET Sample Paper NEET Sample Test Paper-51

  • question_answer 18) Two wavelengths of light \[{{\lambda }_{1}}\,\,and\,\,{{\lambda }_{2}}\] are sent through Young's double slit apparatus simultaneously. What must be true about \[{{\lambda }_{1}}\,\,and\,\,{{\lambda }_{2}}\] if the third order bright fringe of \[{{\lambda }_{1}}\] coincides with fifth order dark fringe of\[{{\lambda }_{2}}\]?

    A) \[3{{\lambda }_{1}}=2{{\lambda }_{2}}\]                    

    B) \[2{{\lambda }_{1}}=3{{\lambda }_{2}}\]

    C) \[3{{\lambda }_{1}}=5{{\lambda }_{2}}\]                    

    D) \[5{{\lambda }_{1}}=3{{\lambda }_{2}}\]

    Correct Answer: B

    Solution :

    By theory \[{{n}_{1}}{{\lambda }_{1}}=\left( 2{{n}_{2}}-1 \right){{\lambda }_{2}}/2\] \[3{{\lambda }_{1}}=\left( 2\times 5-1 \right)\lambda {{a}_{2}}/2\] \[3{{\lambda }_{1}}=\frac{9{{\lambda }_{2}}}{2}\]

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