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J & K CET Medical J & K - CET Medical Solved Paper-2003

  • question_answer
    A tap supplies water at \[20{}^\circ C\]. A man takes 1L of water per minute at \[35{}^\circ C\] from a geyser connected to the tap. The power of geyser is :

    A)  1050 W                                

    B)  2100 W

    C)  1500 W                                

    D)  3000 W

    Correct Answer: A

    Solution :

                    Power is the amount of work done or energy (Q ) transferred per unit of time (t). \[\therefore \]  \[P=\frac{H}{t}\]                 \[H=mc\Delta \theta \] where m is mass, c the specific heat and\[\Delta \theta \]the temperature difference. \[\therefore \]  \[P=\frac{mc\Delta \theta }{t}\] \[\Delta \theta ={{(35-20)}^{o}}C={{15}^{o}}C\] \[C=1000,\]         \[4.2\text{ }J=1\text{ }cal\] \[t=1\text{ }\min =60\text{ }s\] \[\therefore \]\[P=\frac{1\times 1000\times 15\times 4.2}{60}J/s=1050W\]


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