Step 1: Formula for Intermediate Sight Distance (ISD).
The intermediate sight distance (ISD) is taken as twice the stopping sight distance (SSD).
\[
ISD = 2 \times SSD
\]
Step 2: Substitution.
Given that SSD = 80 m, we have:
\[
ISD = 2 \times 80 = 160 \, \text{m}.
\]
Step 3: Correction with respect to Passing Sight Distance.
As per IRC recommendations, ISD is the average of SSD and PSD when both are provided:
\[
ISD = \frac{SSD + PSD}{2} = \frac{80 + 300}{2} = \frac{380}{2} = 190 \, \text{m}.
\]
Step 4: Conclusion.
Hence, the intermediate sight distance is 190 m, so the correct answer is (A).
The solution(s) of the ordinary differential equation $y'' + y = 0$, is:
(A) $\cos x$
(B) $\sin x$
(C) $1 + \cos x$
(D) $1 + \sin x$
Choose the most appropriate answer from the options given below:
For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are:
The value of $\iint_S \vec{F} \cdot \vec{N} \, ds$ where $\vec{F} = 2x^2y \hat{i} - y^2 \hat{j} + 4xz^2 \hat{k}$ and $S$ is the closed surface of the region in the first octant bounded by the cylinder $y^2 + z^2 = 9$ and the planes $x = 0, x = 2, y = 0, z = 0$, is:
The value of the integral $\displaystyle \oint_C \frac{z^3 - 6}{2z - i} \, dz$, where $C: |z| \leq 1$, is:
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:
Which of the following parameters are required for the design of a transition curve for a highway system?
(A) Rate of change of grade
(B) Rate of change of radial acceleration
(C) Rate of change of super elevation
(D) Rate of change of curvature
Choose the most appropriate answer from the options given below: