NEET Sample Paper NEET Sample Test Paper-19

  • question_answer In Young's double experiment carried out with light of wavelength \[\lambda =5000\,\overset{\text{o}}{\mathop{\text{A}}}\,,\]the distance between the slits is 0.2 mm and the screen is at 200 cm from the plane of slits. The central maximum is at \[x=0.\]The third maximum will be at x equal to:

    A) 1.67 cm                      

    B)  1.5 cm

    C)  0.5 cm                       

    D)  5.0 cm

    Correct Answer: B

    Solution :

    \[{{x}_{n}}=2n\left( \frac{D\lambda }{2d} \right)\therefore {{x}_{3}}=2\times 3\left( \frac{D\lambda }{2d} \right)\] \[=\frac{3\times 200\times 5000\times {{10}^{-8}}}{0.2\times {{10}^{-1}}}=1.5\,cm.\] Hence, the correction option is [b].

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