J & K CET Engineering J and K - CET Engineering Solved Paper-2003

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

    A)  \[1050\text{ }W\]      

    B)  \[2100\text{ }W\]

    C)  \[1500\text{ }W\]      

    D)  \[3000\text{ }W\]

    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. \[\therefore \] \[P=\frac{mc\,\Delta \theta }{t}\] \[\Delta \theta ={{(35-20)}^{o}}C={{15}^{o}}C\] \[C=1000,\,\,\,\,4.2J=1cal\] \[t=1\min =60s\] \[\therefore \] \[P=\frac{1\times 1000\times 15\times 4.2}{60}J/s=1050W\]


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