GATE CE 2024 Set 1 — Question 56

NAT+2 / -0MediumUnit HydrographsHydrographs & GroundwaterWater Resources Engineering

Water Resources Engineering → Hydrographs & Groundwater → Unit Hydrographs

Last updated 5 September 2026

Question

m^3/s

Time (hours)	0	1	2	3	4	5
Ordinates of 1-hour UH ( $m^3/s$ )	0	13	50	80	95	85

Time (hours)	6	7	8	9	10	11
Ordinates of 1-hour UH ( $m^3/s$ )	55	35	15	10	3	0

O_{1h}(t)

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

O_{1h}(t)

Time $t$ (h)	$O_{1h}(t)$	$O_{1h}(t-1)$	$O_{1h}(t-2)$	Sum $S(t)$
0	0	-	-	0
1	13	0	-	13
2	50	13	0	63
3	80	50	13	143
4	95	80	50	225
5	85	95	80	260
6	55	85	95	235
7	35	55	85	175
8	15	35	55	105
9	10	15	35	60
10	3	10	15	28
11	0	3	10	13
12	0	0	3	3

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

Time $t$ (h)	$O_{1h}(t)$	$O_{1h}(t-1)$	$O_{1h}(t-2)$	Sum $S(t)$
0	0	-	-	0
1	13	0	-	13
2	50	13	0	63
3	80	50	13	143
4	95	80	50	225
5	85	95	80	260
6	55	85	95	235
7	35	55	85	175
8	15	35	55	105
9	10	15	35	60
10	3	10	15	28
11	0	3	10	13
12	0	0	3	3

Time $t$ (h)	$O_{1h}(t)$	$O_{1h}(t-1)$	$O_{1h}(t-2)$	Sum $S(t)$
0	0	-	-	0
1	13	0	-	13
2	50	13	0	63
3	80	50	13	143
4	95	80	50	225
5	85	95	80	260
6	55	85	95	235
7	35	55	85	175
8	15	35	55	105
9	10	15	35	60
10	3	10	15	28
11	0	3	10	13
12	0	0	3	3

Time $t$ (h)	$O_{1h}(t)$	$O_{1h}(t-1)$	$O_{1h}(t-2)$	Sum $S(t)$
0	0	-	-	0
1	13	0	-	13
2	50	13	0	63
3	80	50	13	143
4	95	80	50	225
5	85	95	80	260
6	55	85	95	235
7	35	55	85	175
8	15	35	55	105
9	10	15	35	60
10	3	10	15	28
11	0	3	10	13
12	0	0	3	3