Question:
A summit curve is formed at the intersection of a \(3\%\) up gradient and \(5\%\) down gradient. The deviation angle is
A summit curve is formed at the intersection of a \(3\%\) up gradient and \(5\%\) down gradient. The deviation angle is
Show Hint
For summit and valley curves,
\[
\boxed{
N=\text{Algebraic difference of the two gradients}
}
\]
Always consider the sign of each gradient.
Updated On: Jul 23, 2026
- \(0.03\)
- \(0.08\)
- \(0.02\)
- \(0.04\)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
The algebraic difference of grades gives the deviation angle (expressed in decimal).
\[
\boxed{
N=\left|g_1-g_2\right|
}
\]
where
\[
g_1=\text{First gradient},
\]
\[
g_2=\text{Second gradient}.
\]
Step 1: Write the given gradients. Up gradient \[ g_1=+3\%=+0.03 \] Down gradient \[ g_2=-5\%=-0.05 \]
Step 2: Calculate the deviation angle. \[ N = |0.03-(-0.05)| = 0.08 \] Hence, \[ \boxed{N=0.08} \] Therefore, the correct option is \[ \boxed{(B)\;0.08.} \]
Step 1: Write the given gradients. Up gradient \[ g_1=+3\%=+0.03 \] Down gradient \[ g_2=-5\%=-0.05 \]
Step 2: Calculate the deviation angle. \[ N = |0.03-(-0.05)| = 0.08 \] Hence, \[ \boxed{N=0.08} \] Therefore, the correct option is \[ \boxed{(B)\;0.08.} \]
Was this answer helpful?
0
0
Top TS PGECET Civil Engineering Questions
- A man weighing \( W \) newtons entered a lift which moves with an acceleration of \( a \, \text{m/s}^2 \). When the lift is moving downward, the force exerted by the man on the floor of the lift is:
- The magnitude of the resultant of two equal forces each of magnitude \( F \) is \( \sqrt{2}F \). Then the angle between their line of action is:
- The equation of motion of a particle starting from rest along a straight line is \( x = t^3 - 3t^2 + 5 \). The ratio of the accelerations after 5 s and 3 s will be:
- A tennis player returns a ball by hitting it with a racket. If the force exerted by the racket on the ball is increased, then the impulse imparted to the ball:
- Radius of gyration is that distance which when squared and multiplied with total mass of the body gives
View More Questions
Top TS PGECET Traffic Engineering Questions
- The camber prescribed by the I.R.C. for cement concrete or high type bituminous roads in percentage is
- Which of the following is not an environmental factor to be considered for the design of pavements?
- Which of the following is not an application of travel time and delay study?
- Fixed delay does not depend on which of the following factor?
- What is the primary factor affecting the capacity of urban roads during peak hours?
View More Questions
Top TS PGECET Questions
- If \( P = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{pmatrix} \) is the modal matrix of \( A = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 2 \\ 0 & 0 & 3 \end{pmatrix} \) then the sum of all the elements of \( P^{-1}AP \) is
- If the system of equations \( kx + y + z = k - 1 \), \( x + ky + z = k - 1 \), and \( x + y + kz = k - 1 \) has infinite solutions, then \( k \) is
- The value of the integral \( \int_C (2xy - x^2) \, dx + (x^2 + y^2) \, dy \) where \( C \) is the boundary of the region enclosed by \( y = x^2 \) and \( y^2 = x \), described in the positive sense, is
- Let \( f(x) = \log x \). The number \( C \) strictly between \( e^2 \) and \( e^3 \) such that its reciprocal is equal to \( \frac{f(e^3) - f(e^2)}{e^3 - e^2} \) is
- The solution of the differential equation \( (D^2 + 2)y = x^2 \) is
View More Questions