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A potentiometer wire has a resistance of 10 ohms. A resistance box with a resistance of 19990 ohm is connected in series with the wire. The emf of the battery in the primary circuit is 2V. A thermocouple produces 2 mV for a temperature difference of 1ºC between its junction. When the hot junction is at 200ºC and the cold junction at 0ºC, can the thermo-emf be balanced on the potentiometer wire?

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thermo emf is balanced

thermo emf is not balanced

data is insufficient

balancing is independent of temperature

answer is B.

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Detailed Solution

$\begin{array}{l} E^{'} = \frac{E \times R_{P} \times l}{(r + R_{s} + R_{p}) L} \\ 2 \times 10^{- 3} \times 200 = \frac{2 \times 10}{20, 000 \times L} \times l \end{array}$
$\frac{l}{L} = 400 ∵ l > L$

Thermo-emf cannot be balanced.

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