Which of the following statements is incorrect with respect to metallic or electronic conductivity?

The molar conductivities at infinite dilution of barium chloride,sulphuric acid and hydrochloric acid are $280$,$860$ and $426 \, S \, cm^{2} \, mol^{-1}$ respectively. The molar conductivity at infinite dilution of barium sulphate is $...... \, S \, cm^{2} \, mol^{-1}$ ($Round$ off to the Nearest Integer).

The resistance of a $0.2 \, M$ electrolyte solution is $50 \, \Omega$. The specific conductivity of the solution is $1.3 \, S \, m^{-1}$. If the resistance of a $0.4 \, M$ solution of the same electrolyte is $260 \, \Omega$,what is its molar conductivity?

The metal which is the best conductor of electricity is

At $298 \ K$,the limiting molar conductivity of a weak monobasic acid is $4 \times 10^2 \ S \ cm^2 \ mol^{-1}$. At $298 \ K$,for an aqueous solution of the acid,the degree of dissociation is $\alpha$ and the molar conductivity is $y \times 10^2 \ S \ cm^2 \ mol^{-1}$. At $298 \ K$,upon $20$ times dilution with water,the molar conductivity of the solution becomes $3y \times 10^2 \ S \ cm^2 \ mol^{-1}$. $(1)$ The value of $\alpha$ is. . . . . . $(2)$ The value of $y$ is. . . . . .

Define $\Lambda _m = \frac{\kappa \times 1000}{C}$ where $C$ is concentration in $mol \ L^{-1}$ and $\kappa$ is conductivity in $S \ cm^{-1}$.