A) \[\frac{{{t}_{1}}}{{{t}_{2}}}\]
B) \[\frac{{{t}_{2}}-{{t}_{1}}}{{{t}_{2}}}\]
C) \[\frac{{{t}_{2}}-{{t}_{1}}}{{{t}_{1}}}\]
D) \[\frac{{{t}_{2}}}{{{t}_{1}}}\]
E) \[\frac{{{t}_{2}}}{{{t}_{2}}-{{t}_{1}}}\]
Correct Answer: D
Solution :
Resistance of a conductor varies linearly with temperature as \[{{R}_{t}}={{R}_{0}}(1+\alpha t)\] for first conductor \[{{R}_{t}}={{R}_{0}}(1+{{\alpha }_{1}}{{t}_{1}})\] or \[{{\alpha }_{1}}=\frac{R{{t}_{1}}-{{R}_{0}}}{{{t}_{1}}}\] ?? (i) Similarly, for second conductor \[{{\alpha }_{2}}=\frac{R{{t}_{2}}-{{R}_{0}}}{{{t}_{2}}}\] ?.. (ii) From Eqs. (i) and (ii) we get \[\frac{{{\alpha }_{1}}}{{{\alpha }_{2}}}=\frac{{{t}_{2}}}{{{t}_{1}}}\]
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