GATE CE 2020 Set 1 — Question 42
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Transportation Engineering → Traffic Studies & Flow → Fundamental Flow Relationships
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Question
The relationship between traffic flow rate () and density () is shown in the figure
The shock wave condition is depicted by
- A.flow with respect to point 1 ()
- B.flow changing from point 2 to point 6 ()
- C.flow changing from point 3 to point 7 ()
- D.flow with respect to point 4 and point 5 ()
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Correct answer
(MTA)
Solution
A shock wave in traffic flow represents a boundary between two different traffic states. The speed of the shock wave () is the slope of the chord connecting these two states on the flow-density () curve: . Options B, C, and D all describe transitions between states, which would involve a shock wave. Point 1 represents a single state (capacity). Due to potential ambiguities in the options or the diagram, GATE marked this question as 'Marks to All' (MTA).
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