AMU Medical AMU Solved Paper-2011

  • question_answer
    In Youngs double-slit experiment the distance between the centres of adjacent fringes is 0.10 mm. If the distance of the screen from the slits is doubled, the distance between the slits is halved and the wavelength of light is changed from \[6.4\times {{10}^{-7}}\text{ }m\text{ }to\text{ }4.0\times {{10}^{-7}}m,\] then the new distance between the fringes will be

    A)  0.10 mm                             

    B)  0.15 mm

    C)  0.20 mm                             

    D)  0.25 mm

    Correct Answer: D

    Solution :

                     \[\beta =0.10\] mm \[=0.10\times {{10}^{-3}}m\]                                 \[\beta =\frac{\lambda D}{d}\Rightarrow \frac{\beta }{\lambda }=\frac{D}{d}\] Again     \[\beta =\frac{4.0\times {{10}^{7}}\times D}{\frac{d}{2}}\]                                 \[\beta =\frac{4.0\times {{10}^{-7}}\times 4D}{d}\]                                 \[\beta =\frac{4.0\times {{10}^{-7}}\times 4\times 0.10\times {{10}^{-3}}}{6.4\times {{10}^{-7}}}\]                                 \[\beta =0.25\,mm\]


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