CMC Medical CMC-Medical Ludhiana Solved Paper-2015

  • question_answer
    Which one of the following is a dimensionally incorrect equation?

    A)  \[h=\frac{2s\,\cos \theta }{r\rho g}\]

    B)  \[v=\frac{1}{2\pi }\sqrt{\frac{mgl}{l}}\]

    C)  \[W=\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}+\frac{\partial u}{\partial z}\]

    D)  \[B=\frac{{{\mu }_{0}}l}{2\pi d}\]

    Correct Answer: C

    Solution :

                    As we know that Force, \[|F|=\left| \frac{\partial U}{\partial r} \right|\] where, U = potential energy and r = position But energy is equivalent to a work So,          \[E\ne \frac{\partial U}{\partial r}\]


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