A) \[2.5\,\,oh{{m}^{-1}}c{{m}^{2}}equi{{v}^{-1}}\]
B) \[5.0\,\,oh{{m}^{-1}}c{{m}^{2}}equi{{v}^{-1}}\]
C) \[2.5\,\,oh{{m}^{-1}}c{{m}^{2}}equi{{v}^{-1}}\]
D) \[5.0\,\,oh{{m}^{-1}}c{{m}^{2}}equi{{v}^{-1}}\]
E) \[1.25\,\,oh{{m}^{-1}}c{{m}^{2}}equi{{v}^{-1}}\]
Correct Answer: B
Solution :
Resistance of N/10 solution\[=2.5\times {{10}^{3}}\Omega \] \[\kappa =\frac{1}{\text{resistance}}\times \text{cell}\,\text{constant}\] \[=\frac{1}{2.5\times {{10}^{3}}}\times 1.25\] \[=\frac{1.25\times {{10}^{-3}}}{2.5}=5\times {{10}^{-4}}\text{oh}{{\text{m}}^{-1}}\text{c}{{\text{m}}^{-1}}\] Equivalent conductance \[=\frac{\kappa \times 1000}{M}\] \[=\frac{5\times {{10}^{-4}}\times 1000}{1/10}\] \[=5\,\text{oh}{{\text{m}}^{-1}}\,\text{c}{{\text{m}}^{2}}\,\text{equ}{{\text{i}}^{-1}}\]
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