BVP Medical BVP Medical Solved Paper-2014

  • question_answer
    The temperature coefficient of resistance of a wire is \[\frac{hv}{3}\]. Its resistance is \[\frac{hv}{2}\]. At 300 K resistance will be \[\frac{2hv}{3}\], at

    A)  \[30\mu A\]

    B)  \[90\mu A\]

    C)  \[4mA\]

    D)  \[2mA\]

    Correct Answer: B

    Solution :

                    \[{{R}_{t}}={{R}_{0}}(1+\alpha t)\] \[\alpha =0.00125\] \[1\Omega ={{R}_{0}}(1+0.00125\times 27)\]       ??..(i) \[2\Omega ={{R}_{0}}(1+0.00125\times t)\]         ???(ii) From Eqs. (i) and (ii), we get                 \[\frac{1}{2}=\frac{1+\frac{125}{10000}\times 27}{1+\frac{125}{100000}\times t}=\frac{827}{800t}\]                 \[=800t=1654\]                 \[t={{854}^{o}}C\]                 \[T=(854+273)K\]                 \[=1127K\]


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