Q. The resistance of a resistance thermometer has values $2.71$ and $3.70\ ohm$ at $10℃$ and $100℃$. The temperature at which the resistance is $3.26\ ohm$ is
A) $40℃$
B) $50℃$
C) $60℃$
D) $70℃$
Explanation
(b) Change in resistance $3.70 - 2.71 = 0.99\Omega$ corresponds to interval of temperature $90℃$
So change in resistance $3.26 - 2.71 = 0.55\Omega$
Corresponds to change in temperature
$= \frac{90}{0.99} \times 0.55 = 50℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.