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For a cell of $e.m.f.$ $2\,V$, a balance is obtained for $50\, cm$ of the potentiometer wire. If the cell is shunted by a $2\,\Omega $ resistor and the balance is obtained across $40\, cm$ of the wire, then the internal resistance of the cell is ............. $\Omega $
A copper wire of resistance $R$ is cut into ten parts of equal length. Two pieces each are joined in series and then five such combinations are joined in parallel. The new combination will have a resistance
Thomson coefficient of a conductor is $10\,\mu V/K$. The two ends of it are kept at ${50\,^o}C$ and ${60\,^o}C$ respectively. Amount of heat absorbed by the conductor when a charge of $10\,C$ flows through it is