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KVPY Sample Paper KVPY Stream-SX Model Paper-17

  • question_answer
    In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength \[\lambda =500\] is incident on the slits. The total number of bright fringes that are observed in the angular range \[-30{}^\circ \le \theta \le 30{}^\circ \] is:

    A) 640

    B) 320

    C) 321

    D) 641

    Correct Answer: D

    Solution :

    \[\Delta {{X}_{\max }}=d\sin \theta \]\[=0.32\sin 30=0.16\,mm\]
    \[\therefore \] \[n=\frac{\Delta {{X}_{\max }}}{\lambda }=\frac{0.16\times {{10}^{-3}}}{500\times {{10}^{-9}}}\]\[=\frac{0.16\times {{10}^{6}}}{500}=\frac{1600}{5}=320\]
    \[\therefore \]      Number of BFs \[=\,(2n+1)=641.\]


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