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WB JEE Medical WB JEE Medical Solved Paper-2012

  • question_answer
    Heat is produced at a rate given by H in a resistor when it is connected across a supply of voltage V. If now the resistance of the resistor is doubled and the supply voltage is made V/3, then the rate of production of heat in the resistor will be

    A)  H/18           

    B)  H/9

    C)  6H             

    D)  18H

    Correct Answer: A

    Solution :

     We know \[H=\frac{{{V}^{2}}}{R}\] Here, in second condition V becomes \[\frac{V}{3}\] and R becomes 2R. So, \[H=\frac{{{\left( \frac{V}{3} \right)}^{2}}}{2R}=\frac{{{V}^{2}}}{18R}\] \[H=\frac{H}{18}\]


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