A) 781 K
B) 1027 K
C) 1054 K
D) 1327 K
Correct Answer: D
Solution :
Resistance of the wire also depends upon its temperature. \[{{R}_{t}}={{R}_{0}}(1+\alpha \,t)\] where \[\alpha =\] temperature coefficient of resistance. Here, \[\alpha =0.001{{/}^{o}}C\] \[\therefore \] \[{{R}_{{{27}^{o}}C}}=1={{R}_{0}}(1+0.001\times 27)\] ?. (i) Similarly,\[{{R}_{T}}={{R}_{{{(T-273)}^{o}}C}}=2\] \[={{R}_{0}}[1+0.0001\times (T-273)]\] ... (ii) Dividing Eq. (i) by Eq. (ii), we get \[\frac{1}{2}=\frac{(1.027)}{1+0.001(T-273)}\] \[\Rightarrow \] \[T=1327\,K\]
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