A) \[\frac{1}{25}{{\,}_{o}}{{C}^{-1}}\]
B) \[\frac{1}{50}{{\,}_{o}}{{C}^{-1}}\]
C) \[\frac{1}{80}{{\,}_{o}}{{C}^{-1}}\]
D) \[\frac{1}{75}{{\,}_{o}}{{C}^{-1}}\]
Correct Answer: D
Solution :
As, \[{{R}_{t}}={{R}_{0}}\,\,(1+\alpha t)\] At \[T={{15}^{o}}C,\] \[{{R}_{15}}={{R}_{0}}\,[1+\alpha \times 15]\] and \[T={{37.5}^{o}}C,\] \[{{R}_{37.5}}={{R}_{0}}\,[1+\alpha \times 37.5]\] \[\therefore \] \[\frac{{{R}_{15}}}{{{R}_{37.5}}}=\frac{1+15\alpha }{1+37.5\alpha }\] or \[\frac{4}{5}=\frac{1+15\alpha }{1+37.5\alpha }\] \[\therefore \] \[\alpha ={{\left( \frac{1}{75} \right)}^{o}}{{C}^{-1}}\]
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