Hi,

Please find herewith the Question Paper of Water Resources and System Engineering(CE-6003), set by HPU/HPTU (Himachal Pradesh University/ Himachal Pradesh Technical University) for the year 2014.

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Determine (i) the average yield from the catchment and (ii) storage capacity of the reservoir to use the source fully. Solve analytically. Given, Catchment area = 1675 km^2.

(15+5 = 20)

Cost of project = Rs. 50 lacs.

Life of the project = 50 years.

Interest rate = 6.5%

Maintenance cost = 2% of the capital cost.

The following additional information is available

Find (i) Annual cost (ii) Annual benefits and (iii) Benefit-cost ratio of the project.

Maximize z= (3.x1 + 5.x2) subject to

(x1 + 2.x2) <= 2000

(x1 + x2) <= 1500

x2<= 600 and x1, x2 >=0 (20)

4 0 3 12 1

6 6 4 12 6

8 9 5 12 15

10 10 6 12 12

(20)

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Thanks for your kind visit!

Please find herewith the Question Paper of Water Resources and System Engineering(CE-6003), set by HPU/HPTU (Himachal Pradesh University/ Himachal Pradesh Technical University) for the year 2014.

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**B.Tech. 6th Semester Examination**

**Water Resources and System Engineering**

**CE-6003**

**Time: 3 Hours Max Marks: 100**

*The candidate shall limit their answers precisely within the answer-book(40 pages) issued to them and no supplementary continuation sheet will be issued.*

**Note:**Attempt five questions selecting one question from each sections A,B,C and D. Question 9 is compulsory, All questions carry equal marks. Non- programmable calculator is allowed.

**Section - A**

**1. (a)**Describe the functional requirements of various users in a multipurpose water-resources project. What is the compatibility of these users in the project?

**(b)**Discuss inter-basin transfer of water in the context of our country.

(15+5 = 20)

OR

**2. (a)**The annual runoff data over the catchment area of a reservoir for a successive number of years are given below:

**Year:**1 2 3 4 5 6 7 8

**Runoff (cm)**98 143.5 168.3 94 95.3 152.4 110 131.3

Determine (i) the average yield from the catchment and (ii) storage capacity of the reservoir to use the source fully. Solve analytically. Given, Catchment area = 1675 km^2.

**(b)**Draw a diagram showing the various zones of storage in a reservoir.

(15+5 = 20)

**Section - B**

**3.**The data pertaining to a flood protection project to provide full safety against floods up to 50 years frequency are as follows:

Cost of project = Rs. 50 lacs.

Life of the project = 50 years.

Interest rate = 6.5%

Maintenance cost = 2% of the capital cost.

The following additional information is available

**Flood frequency (years)**0 5 10 15 30 40 70

**Annual damages Rs.(*10^4)**2 25 40 45 61 71 75

Find (i) Annual cost (ii) Annual benefits and (iii) Benefit-cost ratio of the project.

**(**20)

OR

**4.**A 1000 mm diameter pipeline can be installed for Rs. 2 lacs. The annual operating and maintenance cost is estimated at Rs. 40000/-. An alternative 750 mm diameter pipeline can be installed at Rs. 1.6 lacs. Its annual operating and maintenance cost is estimated at Rs. 60000/-. Either pipeline is expected to serve for 35 years, with 7% salvage when replaced. Compare the two pipelines assuming a 15% rate of interest. (20)

Section - C

5. (a) Explain, (i) General structure of a linear programming problem

(ii) Feasible space and (iii) Initial basic feasible solution.

(ii) Feasible space and (iii) Initial basic feasible solution.

**(b)**Discuss risk and uncertainty in project evaluation. (15+5 = 20)

OR

**6.**Solve the following linear programming problem graphically:

Maximize z= (3.x1 + 5.x2) subject to

(x1 + 2.x2) <= 2000

(x1 + x2) <= 1500

x2<= 600 and x1, x2 >=0 (20)

**Section - D**

**7.**Four water resources projects are to be allocated from limited funds in a small district. These projects produce net independent returns as shown below. using dynamic programming, determine the optimal allocation of 1 million rupees

**Investment Rs.(*10^6) NET RETURNS FROM A PROJECT Rs. (* 10^4)**

**Project 1 Project 2 Project 3 Project 4**

**2 4 2 6 6**

4 0 3 12 1

6 6 4 12 6

8 9 5 12 15

10 10 6 12 12

(20)

OR

**8. (a)**Discuss the application of system engineering in water resources projects.

**(b)**Explain the use of mathematical models in forecasting hydrological events. (10+10 = 20)

**Section - E (Compulsory)**

**9. (i)**Discuss the role of water in the development of water resources.

**(ii)**What is watershed management and what are its elements?

**(iii)**Explain reservoir sedimentation.

**(iv)**Enumerate the various steps involved in the planning of a water resources project.

**(v)**Differentiate between micro and macro economics.

**(vi)**Explain the term capital recovery factor.

**(vii)**Discuss system engineering.

**(viii)**What is dynamic programming? How it differs from linear programming?

**(ix)**Describe principle of optimality.

**(x)**What is simulation and what are its limitations? (10*2 = 20)

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Thanks for your kind visit!