Statement A: The electrical resistance of a column of 0.5 M NaOH solution of diameter 1 cm and length 50 cm is $5.55 \times 10^{3}$ ohm and its resistivity is equal to 76.234 ohm cm.
Statement B: Resistance is inversely proportional to resistivity.

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Both Statement A and Statement B are false

Statement A is true but Statement B is false.

Statement A is false but Statement B is true.

Both Statement A and Statement B are true

answer is C.

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Detailed Solution

$\begin{array}{l} R = ρ \times \frac{l}{A} (A = {πr}^{2}) \\ ∴ ρ = \frac{R \times A}{ℓ} = \frac{5 .55 \times 10^{3} \times {(0 .5)}^{2} \times 3 .14}{50} = 87 .13 ohm cm \end{array}$

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