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Q.

The melting point of wax is measured by using a thermometer which is not exact, and it indicates a temperature of 500C as shown in figure-1

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A wheatstone bridge is used to measure this melting point exactly. The deviation from 500C is being measured by observing the variation of the resistance of a coil embedded in wax.
The Wheatstone bridge is setup so that the resistance of each arm is 50Ω exactly at 500C, and there is no current in the galvanometer as shown in figure-II. The resistance of the galvanometer is  50Ω

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One arm of the bridge containing the coil of resistance 50Ω is now immersed in a wax-box. The wax is just melted as shown in the figure-III. It is now observed that the current through the galvanometer is 0.1 μA.
Given, temperature coefficient of resistance is 103 per  0C. Resistances other than inside wax-box are assumed to be constant and are exactly 50Ω while the resistance of wax box is very close to 50Ω

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