Properties Of Solids And Liquids Question 576

Question: The resistance of a resistance thermometer has values 2.71 and 3.70 ohm at $ 10{}^\circ C $ and $ 100{}^\circ C $ . The temperature at which the resistance is 3.26 ohm is

Options:

A) $ 40{}^\circ C $

B) $ 50{}^\circ C $

C) $ 60{}^\circ C $

D) $ 70{}^\circ C $

Show Answer

Answer:

Correct Answer: B

Solution:

Change in resistance $ 3.70-2.71=0.99\Omega $

Corresponds to interval of temperature $ 90{}^\circ C $ .

So change in resistance $ 3.26-2.71=0.55\Omega $

Corresponds to change in temperature $ =\frac{90}{0.99}\times 0.55=50{}^\circ C $



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