JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Self Evaluation Test - Wave Optics

  • question_answer
    Two slits separated by a distance of 1 mm are illuminated with red light of wavelength\[6.5\times {{10}^{-7}}m\]. The interference fringes are observed on a screen placed 1 m from the silts. The distance of the third dark fringe from the central fringe will be equal to:               

    A) 0.65 mm

    B) 1.30mm

    C) 1.62 mm

    D) 1.95mm

    Correct Answer: C

    Solution :

    [c] Given\[d=1mm,\,\,\,\lambda =6.5\times {{10}^{-7}}m,\,\,\,D=1m\] For \[{{n}^{th}}\]dark fringe \[{{y}_{n}}=\left( \frac{2n-1}{2} \right)\frac{D\lambda }{d}\] For third fringe, \[{{y}_{3}}=\left( \frac{2\times 3-1}{2} \right)\times \frac{1\times 6.5\times {{10}^{-7}}}{1\times {{10}^{-3}}}=1.625mm\].


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