NEET Sample Paper NEET Sample Test Paper-67

  • question_answer
    In the Young's double slit experiment with sodium light. The slits are 0.589 m apart. The angular separation of the third maximum from the central maximum will be \[\left( given \lambda  = 589 mm \right)\]

    A) \[{{\sin }^{-1}}\,(0.33\,\,\times \,\,{{10}^{8}})\]

    B)   \[{{\sin }^{-1}}\,(0.33\,\,\times \,\,{{10}^{-6}})\]

    C) \[{{\sin }^{-1}}\,(3\,\,\times \,\,{{10}^{8}})\]   

    D) \[{{\sin }^{-1}}\,(3\,\,\times \,\,{{10}^{-6}})\]

    Correct Answer: D

    Solution :

    Using relation, \[d\,\sin \,\theta \,\,=\,\,n\lambda \,\Rightarrow \,\sin \,\theta \,\,=\,\frac{n\lambda }{d}\] \[n=3,\,\,\sin \,\theta \,=\,\,\frac{3\lambda }{d}\,=\,\,\frac{3\times 589\times {{10}^{-9}}}{0.589}\] \[=3\times 1{{0}^{-6}}\,\,or\,\,\,\,\theta \,\,=\,\,si{{n}^{-1}}\,(3\times 1{{0}^{-6}})\]


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