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NEET Sample Paper NEET Sample Test Paper-12

  • question_answer
    In Young's double-slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths\[{{\lambda }_{1}}=12000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]and\[{{\lambda }_{2}}=10000\overset{\text{o}}{\mathop{\text{A}}}\,\]. At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

    A)  8 mm                          

    B)  6 mm

    C)  4 mm                          

    D)  3 mm

    Correct Answer: B

    Solution :

     \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{12000}{10000}=\frac{6}{5}\] \[x=\frac{{{m}_{1}}{{\lambda }_{1}}D}{d}=\frac{5\times 12000\times {{10}^{-10}}\times 2}{2\times {{10}^{-3}}}=6\,mm\]


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