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NEET Sample Paper NEET Sample Test Paper-48

  • question_answer
    If E, G, J and m represent energy, universal gravitational constant angular momentum and mass respectively, then dimensions of \[\frac{E{{J}^{2}}}{{{m}^{5}}{{G}^{2}}}\] are those of:

    A) Mass                

    B) Length  

    C) Time    

    D) Angle

    Correct Answer: D

    Solution :

    \[\operatorname{E} = M{{L}_{2}}{{T}^{-2}}, J = M{{L}^{2}}{{T}^{-1}}, G = {{M}^{-1}}{{L}^{3}}{{T}^{-2}}\] \[\operatorname{Dimension} =\frac{E{{J}^{2}}}{{{m}^{5}}{{G}^{2}}~}=\frac{M{{L}^{2}}{{T}^{-2}} \left[ M{{L}^{2}}{{T}^{-1}}^{2} \right]}{{{M}^{5}}\left[ {{M}^{-1}}{{L}^{3}}{{T}^{-2}} \right]}\] \[= M{}^\circ L{}^\circ T{}^\circ  = Angle\]


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