Current Electricity Charging Discharging Of Capacitors Question 108

Question: The thermo e.m.f. of a thermo-couple is $ 25\mu V{{/}^{o}}C $ at room temperature. A galvanometer of 40 ohm resistance, capable of detecting current as low as $ {{10}^{-5}}A, $ is connected with the thermocouple. The smallest temperature difference that can be detected by this system is

[AIEEE 2003]

Options:

A) $ 20^{o}C $

B) $ 16^{o}C $

C) $ 12^{o}C $

D) $ 8^{o}C $

Show Answer

Answer:

Correct Answer: B

Solution:

$ e=iR $

Therefore $ 25\times {{10}^{-6}}\times \Delta \theta ={{10}^{-5}}\times 40 $

$ \Delta \theta =\frac{40\times {{10}^{-5}}}{25\times {{10}^{-6}}}=\frac{400}{25}=16{}^\circ C $