RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    In a biprism experiment by using light of wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,,\] 5 mm wide fringes are obtained on a screen 1.0 m away from the coherent sources. The separation between the two coherent sources is

    A)  1.0 mm                               

    B)  0.1 mm

    C)  0.05 mm             

    D)         0.01 mm

    Correct Answer: B

    Solution :

    Given,\[\lambda =5000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,=5\times {{10}^{-7}}m.\] \[\beta =5mm=5\times {{10}^{-3}}m\]. \[D=1\,\,m\]. \[d=?\] Fringe width\[\beta =\frac{D\lambda }{d}\] \[\therefore \]  \[d=\frac{D\lambda }{\beta }=\frac{1\times 5\times {{10}^{-7}}}{5\times {{10}^{-3}}}\]                 \[=1\times {{10}^{-4}}m=0.1\,\,mm\]


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