A) \[180\,\Omega \]
B) \[225\,\Omega \]
C) \[258\,\Omega \]
D) \[317\,\Omega \]
Correct Answer: C
Solution :
\[\frac{{{R}_{150}}}{{{R}_{500}}}=\frac{[1+\alpha (150)]}{[1+\alpha (500)]}\] Putting \[{{R}_{150}}=133\,\Omega \] and \[\alpha =0.0045{{/}^{o}}C\], we have \[\frac{133}{{{R}_{500}}}=\frac{1+0.0045\times 150}{1+0.0045\times 500}=\frac{1.675}{3.25}\] \[\Rightarrow \] \[{{R}_{500}}=\frac{3.25\times 133}{1.675}\approx 258\,\Omega \]
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