JEE Main & Advanced Sample Paper JEE Main Sample Paper-24

  • question_answer
    The heat produced in \[4\,\Omega \] resistance is 10 cal. The heat produced in \[10\,\Omega \] resistance will be:

    A)  25 cal                          

    B)  14 cal

    C)  10 cal                          

    D)  20 cal

    Correct Answer: A

    Solution :

    Voltage across parallel combination is same. The equivalent resistance of upper branch \[R=4+6=10\Omega \] So, \[{{i}_{1}}\times 10={{i}_{2}}\times 10\,\,or\,\,{{i}_{2}}={{i}_{2}}=i\]i.e. same current is flowing through both branches. Now, it is given that \[{{H}_{4\Omega }}\,=10\,\,cal\,\,or\,\,{{i}^{2}}\,\,t\times 4=10\,\,or\,\,{{i}^{2}}t=\frac{10}{5}\] \[{{H}_{4\Omega }}\,=10\times {{i}^{2}}t=\,\frac{10\times 10}{4}\,=25\,cal\]


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