J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    An electric bulb is rated at \[220\text{ }V,\] \[200\text{ }W;\] Power consumed by it when operated at \[110\text{ }V\]is

    A)  \[25\text{ }W\]        

    B)  \[50\text{ }W\]

    C)  \[75\text{ }W\]         

    D)  \[90\text{ }W\]

    Correct Answer: B

    Solution :

    From Joule's law, the power consumed by bulb of resistance R is \[P=\frac{{{V}^{2}}}{R}\]. where Vis potential difference. Given,   \[V=220\text{ }volt,\text{ }P=200W\] \[\therefore \] \[R=\frac{{{V}^{2}}}{P}=\frac{220\times 220}{200}=242\Omega \] When,   \[V=110\text{ }volt,\text{ }R=242\Omega \] \[P=\frac{110\times 110}{242}=50\,W\]


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