For strong electrolytes, the plot of molar conductance vs \(\sqrt{c}\) is

linear

The correct answer is option 2. linear.

For strong electrolytes, the plot of molar conductance (\( \Lambda_m \)) versus the square root of concentration (\( c^\frac{1}{2} \)) is typically linear.

This relationship is known as Kohlrausch's law of independent migration of ions, which states that the molar conductivity of a strong electrolyte at infinite dilution is the sum of the individual contributions of the anions and cations, and it's independent of the concentration of the electrolyte.

Mathematically, Kohlrausch's law can be expressed as:

\(\Lambda_m = \Lambda_m^0 - k \sqrt{c}\)

Where:

\( \Lambda_m \) is the molar conductivity of the electrolyte at concentration \( c \)

\( \Lambda_m^0 \) is the molar conductivity at infinite dilution (intercept on the y-axis)

\( k \) is the conductivity of the solution (slope of the line)

\( c \) is the concentration of the electrolyte

The plot of \( \Lambda_m \) versus \( c^\frac{1}{2} \) results in a straight line, confirming the linear relationship between them.

So, the correct answer is linear.