The product of resistivity and conductance is depend on

Correct option is D

Correct Answer: D. None of these

Information Booster

• Resistivity (ρ) is a material property and depends on temperature but not on dimensions.
• Conductance (G) is the reciprocal of resistance (R), where

​$$G = \frac{1}{R} = \frac{\sigma A}{L}$$​​

where σ is conductivity, A is cross-sectional area, and L is length.

• The product of resistivity (ρ) and conductance (G) is:

​$$ρ \times G = ρ \times \frac{σ A}{L} = \frac{ρ}{ρ} \times \frac{A}{L} = \frac{A}{L}$$​​

because conductivity σ = 1/ρ.

• So, the product depends on the ratio of area to length, not solely on area, length, or temperature alone.

Additional Information

• None of the options correctly describe the ratio dependence (A/L).
• Resistivity and conductivity are temperature-dependent, but their product with conductance simplifies to geometric factors.
• In practical applications:
• Increasing cross-sectional area increases conductance.
• Increasing length decreases conductance.