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### If the conductivity of mercury at $0^\circ C$ is ....

If the conductivity of mercury at $0^\circ C$ is $1.07 \times 10^6 Sm^{-1}$ and the resistance of a cell containing mercury is $0.243 \Omega$, then the cell constant of the cell is $x \times 10^4 m^{-1}$. (Nearest integer)

Solution

$R=\frac {K_{cell}}{\kappa }$

Or, $K_{cell} = 0.243 \times 1.07 \times 10^6 \approx 26 \times 10^4 m^{-1}$

Answer: 26