Step 1: Analyze the Assertion.
The assertion states that for strong electrolytes, the plot of molar conductivity (\( \lambda_m \)) versus concentration gives a straight line with a slope equal to +A and an intercept equal to \( \lambda_m \). This is incorrect.
For strong electrolytes, the plot of \( \lambda_m \) vs concentration is not typically a straight line but rather a curve that shows a decrease in conductivity with increasing concentration. The molar conductivity decreases because the ions are closer together, leading to increased ion-ion interactions, which slows down their movement.
Step 2: Analyze the Reason.
The reason provided is correct. As the solution of a strong electrolyte is diluted, the distance between the ions increases, and their ionic mobility increases. This leads to an increase in the molar conductivity (\( \lambda_m \)) as the ions move more freely when the solution is diluted.
Step 3: Conclusion.
Thus, the assertion is incorrect, but the reason is correct. Therefore, the correct answer is option (C).