Current Electricity Charging Discharging Of Capacitors Question 374

Question: If the resistance of a conductor is 5 W at 50oC and 7 W at 100oC then the mean temperature coefficient of resistance of the material is

[Pb PET 2000]

Options:

A) $ 0.008{{/}^{o}}C $

B) $ 0.006{{/}^{o}}C $

C) $ 0.004{{/}^{o}}C $

D) $ 0.001{{/}^{o}}C $

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Answer:

Correct Answer: A

Solution:

Using $ {R _{T _{2}}}={R _{T _{1}}}[1+\alpha (T _{2}-T _{1})] $

Therefore $ R _{100}=R _{50}[1+\alpha (100-50)] $

Therefore $ 7=5,[1+(\alpha \times 50)] $

Therefore $ \propto ,=,\frac{(7-5)}{250}=0.008{{/}^{o}}C $