NEET AIPMT SOLVED PAPER SCREENING 2008

  • question_answer
    Which two of the following five physical parameters have the same dimensions? (A) energy density (B) refractive index                                 (C) dielectric constant (D) Young's modulus                               (E) magnetic field                                

    A) 2 and 4         

    B)        3 and 5 

    C)        1 and 4                                 

    D) 1 and 5                

    Correct Answer: C

    Solution :

    Energy density\[\text{=}\frac{\text{Energy}}{\text{Volume}}\] \[\text{=}\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{L}^{3}}]}=[M{{L}^{-1}}{{T}^{-2}}]\] Refractive index hole no dimensions. Dielectric constant has no dimensions. Young's modulus, \[Y=\frac{Fl}{A\Delta l}=\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}][L]}=[M{{L}^{-1}}{{T}^{-2}}]\] Magnetic field, \[B=\frac{F}{Il}=\frac{[ML{{T}^{-2}}]}{[A][L]}=[M{{T}^{-2}}{{A}^{-1}}]\] Therefore, option (c) is correct.


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