CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    A conducting rod AC of length \[4\,l\] is rotated about a point O in a uniform magnetic field B directed into the paper \[AO=l\] and \[OC=3\,l,\] then

    A)  \[{{V}_{A}}-{{V}_{O}}=\frac{B\omega \,{{l}^{2}}}{2}\]

    B)  \[{{V}_{O}}-{{V}_{C}}=\frac{9}{2}B\omega \,{{l}^{2}}\]

    C)  \[{{V}_{A}}-{{V}_{C}}=4B\omega \,{{l}^{2}}\]

    D)  \[{{V}_{C}}-{{V}_{O}}=\frac{9}{2}B\omega \,{{l}^{2}}\]

    Correct Answer: C

    Solution :

                    \[{{V}_{0}}-{{V}_{A}}=\frac{B\,\omega \,I}{2}\times I\] \[=\frac{B\,\omega \,{{I}^{2}}}{2}\] \[{{V}_{0}}-{{V}_{A}}=\frac{B\,\omega 3I}{2}\times 3I\]                 \[=\frac{9B\,\omega \,{{I}^{2}}}{2}\] \[{{V}_{A}}-{{V}_{c}}=4B\omega \,{{I}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner