The electrical resistance of a column of 0.04 M NaOH solution of diameter 1.2 cm and length 50 cm is 5.55 × 103 ohm, the resistivity of the column would be

Question

The electrical resistance of a column of 0.04 M NaOH solution of diameter 1.2 cm and length 50 cm is 5.55 × 103 ohm, the resistivity of the column would be (A) 125.58 ohm cm (B) 120.58 ohm cm (C) 102.47 ohm cm (D) 12.547 ohm cm

Tardigrade Admin · Accepted Answer

We know, R =ρ × (l/a) i .e ρ =(R × a/l) a =π r2 =π × ((d/2))2 =(22/7) × 0.36 ∴ ρ = 5.55 ×103 × (22/7) × 0.36 × (1/50) = 125.58 ohm cm

Q. The electrical resistance of a column of $0.04 M N a O H$ solution of diameter $1.2 c m$ and length $50 c m$ is $5.55 \times 1 0^{3}$ ohm, the resistivity of the column would be

$125.58 o hm c m$

$120.58 o hm c m$

$102.47 o hm c m$

$12.547 o hm c m$

We know, $R = ρ \times \frac{l}{a}$ i .e $ρ = \frac{R \times a}{l}$
$a = π r^{2} = π \times (\frac{d}{2})^{2} = \frac{22}{7} \times 0.36$
$∴ ρ = 5.55 \times 1 0^{3} \times \frac{22}{7} \times 0.36 \times \frac{1}{50}$
$= 125.58 o hm c m$

Q. The electrical resistance of a column of 0.04MNaOH solution of diameter 1.2cm and length 50cm is 5.55×103 ohm, the resistivity of the column would be

125.58ohmcm

120.58ohmcm

102.47ohmcm

12.547ohmcm