If f(x, y, z) = (x2 +y2 +z2) -1/2 then  is equal to

1.  Zero

2.  1

3.  2

4.  - 3 (x2 + y2 + z2) -5/2

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4
Correct Answer :

- 3 (x2 + y2 + z2) -5/2


Explanation :
No Explanation available for this question

Let F(s) =F [f(t)] denote the Laplace transform of the function f(t). Which of the following statements is correct

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
No Explanation available for this question

A soil mass contains 40% gravel, 50% sand and 10% silt. This soil can be classified as

1.   silty sandy gravel having coefficient of uniformity less than 60.

2.   silty gravelly sand having coefficient of uniformity equal to 10.

3.   gravelly silty sand having coefficient of uniformity greater than 60.

4.   gravelly silty sand and its coefficient of uniformity cannot be determined.

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4
Correct Answer :

silty gravelly sand having coefficient of uniformity equal to 10.


Explanation :
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A saturated soil mass has a total density 22kN/m3 and a water content of 10%. The bulk density and dry density of this soil are

1.  12 kN/m3 and 20 kN/m3 respectively.

2.  22 kN/m3 and 20 kN/m3 respectively.

3.  19.8 kN/m3 and 19.8 kN/m3 respectively.

4.  23.2 kN/m3 and 19.8 kN/m3 respectively.

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4
Correct Answer :

22 kN/m3 and 20 kN/m3 respectively.


Explanation :
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In a constant head permeameter with cross section area of 10 cm2, when the flow was taking place under a  hydraulic gradient of 0.5, the amount of water collected in 60 seconds is 600 cc. The permeability of the soil is

1.  0.002 cm/s

2.  0.02 cm/s

3.  0.2 cm/s

4.  2.0 cm/s

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4
Correct Answer :

2.0 cm/s


Explanation :
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Critical depth at a section of a rectangular channel is 1.5 m. The specific energy at that section is

1.  0.75 m

2.  1.0 m

3.  1.5 m

4.  2.25 m

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4
Correct Answer :

2.25 m


Explanation :
No Explanation available for this question

A partially open sluice gate discharges water into a rectangular channel. The tail water depth in the gate after the vena contracta of the jet coming out from the sluice gate, the sluice gate opening should be (coefficient of contraction channel is 3m and Froude number is 1/2√2.If a free hydraulic jump is to be formed at a downstream of the sluice Cc=0.9)

1.  0.3 m

2.  0.4 m

3.  0.69 m

4.  0.9 m

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4
Correct Answer :

0.69 m


Explanation :
No Explanation available for this question

A tank and a deflector are placed on a frictionless trolley. The tank issues water jet (mass density of water =1000 kg/m3), which strikes the deflector and truns by 450. If the velocity of jet leaving the deflector is 4 m/s and discharge is 0.1 m3/s, the force recorded by the spring will be

1.  100N

2.  100√2N

3.  200N

4.  200√2N

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4
Correct Answer :

200√2N


Explanation :
No Explanation available for this question

Two observation wells penetrated into a confined acquifer and located 1.5 km apart in the direction of flow, indicate head of 45 m and 20 m. If the coefficient of permeability of the acquifer is 30m/day and porosity is 0.25, the time of travel of an inert tracer from one well to another is

1.  416.7 days

2.  500 days

3.  750 days

4.  3000 days

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4
Correct Answer :

750 days


Explanation :
No Explanation available for this question

A triangular irrigation lined canal carries a discharge of 25m3/s at bed slope = 1/6000. If the side slopes of the  canal are 1:1 and Manning’s coefficient is 0.018, the central depth of flow is equal to

1.   1.98 m

2.   2.98m

3.   3.62m

4.   5.62m

View Answer  
4
Correct Answer :

1.98 m


Explanation :
No Explanation available for this question
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