Current Electricity Charging Discharging Of Capacitors Question 690
Question: If the resistance of a conductor is $ 5\Omega $ at $ 50{}^\circ C $ & $ 7\Omega $ at $ 100{}^\circ C, $ then mean temperature coefficient
Options:
A) $ 0.013/{}^\circ C~ $
B) $ 0.004/{}^\circ C $
C) $ 0.006/{}^\circ C $
D) $ 0.008/{}^\circ C $
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Answer:
Correct Answer: A
Solution:
[a] $ [\text{Hint}\Rightarrow R _{t}=R _{0}(1+\alpha t)] $
$ 5\Omega =R _{0}( 1+\alpha \times 50 )\text{ and 7}\Omega =R _{0}( 1+\alpha \times 100 ) $
$ \text{or }\frac{5}{7}=\frac{1+50\alpha }{1+100\alpha }\text{ or }\alpha =\frac{2}{150}=0.0133/{}^\circ C $
BETA
