Step 1: Traffic Capacity Formula.
The theoretical maximum capacity \( C \) is calculated using the formula: \[C = \frac{1000 \times V}{S}\] with the following parameters: - \( V = 60 \, \text{kmph} = 1000 \, \text{m/min} \) (speed), - \( S = 13.98 \, \text{m} \) (center-to-center spacing).
Step 2: Calculation.
Substituting the values yields: \[C = \frac{1000 \times 60}{13.98} = \frac{60000}{13.98} \approx 4391.84 \, \text{veh/hr/lane}.\]
Step 3: Result.
The highway lane's maximum theoretical capacity is 4391.84 vehicles per hour. Therefore, the correct option is (A) 4391.84.
Match LIST-I with LIST-II (adopting standard notations):\[\begin{array}{|c|c|} \hline \textbf{LIST-I (Parameter)} & \textbf{LIST-II (Formula)} \\ \hline \\ \text{A. Cubic parabola equation} & \text{IV. $\dfrac{X^3}{6RL}$} \\ \\ \hline \\ \text{B. Shift in transition curve} & \text{II. $\dfrac{L^2}{24R}$} \\ \\ \hline \\ \text{C. Length of valley curve} & \text{III. $\dfrac{N S^2}{(1.50 + 0.035S)}$} \\ \\ \hline \\ \text{D. Length of summit curve} & \text{I. $\dfrac{N S^2}{4.4}$} \\ \\ \hline \end{array}\] Choose the most appropriate match from the options given below: