If the conductivity of mercury at 0° C is 1.07 × 106 S m -1 and the resistance of a cell containing mercury is 0.243 Ω, then the cell constant of the cell is x × 104 m -1. The value of x is .(Nearest integer)

Question

If the conductivity of mercury at 0° C is 1.07 × 106 S m -1 and the resistance of a cell containing mercury is 0.243 Ω, then the cell constant of the cell is x × 104 m -1. The value of x is .(Nearest integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

k =1.07 × 106 Sm -1, R =0.243 Ω G =(1/ R )=(1/0.243) Ω-1 k = G × G * G* =( k / G )=(1.07 × 106/(1)0.243) ≃ 26 × 104 m -1

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

$k = 1.07 \times 1 0^{6} S m^{- 1},$
$R = 0.243 Ω$
$G = \frac{1}{R} = \frac{1}{0.243} Ω^{- 1}$
$k = G \times G^{}$
$G^{} = \frac{k}{G} = \frac{1.07 \times 1 0 ^{6}}{\frac{1}{0.243}} ≃ 26 \times 1 0^{4} m^{- 1}$

Q. If the conductivity of mercury at 0∘C is 1.07×106 Sm−1 and the resistance of a cell containing mercury is 0.243Ω, then the cell constant of the cell is x×104m−1. The value of x is _____.(Nearest integer)

k=1.07×106Sm−1, R=0.243Ω G=R1​=0.2431​Ω−1 k=G×G∗ G∗=Gk​=0.2431​1.07×106​≃26×104m−1

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

$k = 1.07 \times 1 0^{6} S m^{- 1},$
$R = 0.243 Ω$
$G = \frac{1}{R} = \frac{1}{0.243} Ω^{- 1}$
$k = G \times G^{}$
$G^{} = \frac{k}{G} = \frac{1.07 \times 1 0 ^{6}}{\frac{1}{0.243}} ≃ 26 \times 1 0^{4} m^{- 1}$