Target GATE & ESE 2022 Revision Test

 Q.1 A stream function is given by ψ = 3x^2 -y^3. What is the magnitude of velocity components at the point (2,1) ?

(a) 8.52                                  (b) 9.17

(c) 10.81                                (d) 12.37

Q.2 What is the minimum size of glass tube that can be used to measure water level if the capillary rise in the tube is to be restricted to 2 mm ? (Take surface tension of water in contact with air as 0.073575 N/m)

(a) 1.5 cm                               (b) 1.0 cm

(c) 2.5 cm                               (d) 2.0 cm

Q.3 What is the hydraulic radius of a stable canal carrying a discharge 0f 27 m^3/s using Lacey's method? (Assume silt factor is unity)

(a) 1.44 m                               (b) 2.67 m

(c) 3.14 m                               (d) 4.28 m

Q.4 Which one of the following is the correct assumption of Rankine's theory?

(a) The soil mass is infinite

(b) The soil mass is non homogeneous

(c) The soil mass is cohesive

(d) The ground surface is a plane which may be horizontal or inclined

Q.5 Which one of the following is not an instrument for setting out right angles?

(a) Cross staff                        (b) Site square

(c) Prism square                    (d) Optical square

Q.6 The hardness of aggregate is tested by

(a) Impact test                      (b) Crushing strength test

(c) Abrasion test                   (d) Soundness test

Q.7 The drawback of electric seasoning of timber is

(a) Checks                      (b) Splitting

(c) Cracks                       (d) Reduced Strength

Q.8 Pozzolanas are

(a) argillaceous materials 

(b) calcareous materials

(c) accelerators

(d) siliceous materials

Q.9 A plane element in a body is subjected to a tensile stress of 100 MPa and shear stress of 25 MPa. What is the normal stress on a plane inclined at 15 degree with the tensile stress?

(a) -5.8 MPa                    (b) -4.8 MPa

(c) -3.8 MPa                   (d) -2.8 MPa

Q.10 If the pressure head of water is 100 m and specific gravity of kerosene is 0.81, what is the pressure head of kerone?

(a) 123.5 m of kerosene             (b) 241.3 m of kerosene

(c) 75.1 m of kerosene               (d) 52.4 m of kerosene

 

                                

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Target GATE & ESE 2022 (Geotechnical Engineering)

 Do You Know?

👉 In-Situ Shear modulus of soil can be calculated from Pressure-meter test.

👉 Soil Consistency                  N-Value

       Very Soft                               0-2                           

       Soft                                       3-4

      Firm                                       5-8

       Stiff                                      9-16

   Very Stiff                                 16-32

     Hard                                        >32

👉 Soil Description    Relative Density(%)    N-Value

      Very Loose               <15                                  <4

        Loose                     15-35                               4-10

Medium Dense              35-65                              10-30

   Dense                          65-85                             30-50

Very Dense                    >85                                    >50

👉  SPT: Suitable only for Cohesionless soil such as sandy soil

      DCPT: Dynamic cone penetration test is conducted by driving the cone by blows of a hammer. This is primarily used for cohesive soils but also applicable for medium to fine sand.

     SCPT: Static Cone penetration test is used for soil profiling. It also gives the value of end resistance and frictional resistance of sleeves.

👉Auger boring is most effective in soft soils which can stand unsupported and have some stickiness so that they do not fall back into hole during lifting operation.

👉Geophysical methods: They are non-destructive methods used in the construction industry for investigation of sub surface.

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Target GATE & ESE 2022 (Geotechnical Engineering)

 Q.1 If an SPT test gave the average blow count of 32 in fine sand below water table, then what is the corrected value of blow count?

(a) 22.1             (b) 23.5              (c) 24.2                (d) 24.8

Q.2 On which of the following soils is the standard penetration test useful?

A.  Cohesionless soil               B. Medium clay

C. Gravelly soils                     D. Very stiff clays

Select the correct answer using the code given below

(a) A only                           (b) A and C 

(c) A and B                        (d) C and D

Q.3 The standard penetration resistance value obtained in a deep deposit of sand at a depth of 6 m was 28. The unit weight of sand is 18 kN/m^3. What is the corrected value of number of blows for overburden pressure?

(a) 60                                (b) 57

(c) 59                                (d) 55

Q.4 Consider the following statements:

1. Standard penetration test is commonly used for cohesionless soils.

2. Standard penetration test results in respect of a cohesionless soil are correlated to its density index and friction angle.

3. Use of N-value not corrected for overburden pressure leads to highly conservative design of footing at shallow depths.

Which of the following statements are correct?

(a) 1,2 and 3                       (b) 1 and 2 only

(c) 2 and 3 only                  (d) 1 and 3 only

Q.5 During a sampling operation , the drive sampler is advanced 600 mm and the length of sample recovered is 525 mm. What is the recovery ratio of the sample?

(a) 0.125                         (b) 0.140

(c) 0.875                         (d) 0.143

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Target GATE & ESE 2022 (Geotechnical Engineering)

 Do You Know?

👉 For a good quality soil sampler all the parameters mentioned below should be low.

            Area ratio                       10% or less

           Inside clearance              0.5-3%

           Outside clearance           0-2%

👉 For soft sensitive clays, an area ratio of 10% or less is preferred.

👉   

• Chunk samples are considered as undisturbed samples.
• Remoulded sampler tends to disturb the soil structure completely
• Split spoon sampler is a thick tube type of an open driven sampler with an area ratio around ratio 30%, so the samples collected are of the disturbed type 
•  Piston sampler is a thin tube type sampler and excellent tool for obtaining very fine undisturbed samples, especially in soft sensitive clays.      

👉 Split Spoon sampler: Used in all types of soil. It gives disturbed but representative sample.

      

👉 Rotary Sampler: It is double walled tube sampler. The outer tube (rotating barrel) is having a cutting bit so they can be used in hard cohesive soils and rocks.

👉Stationary piston sampler: Very much suited for sampling in soft soils and saturated sands.

👉Recovery Ratio(R.R): Ratio of recovered length of sample to penetration length of sampler.

         If           R.R = 1   Good recovery

         If           R.R <1   soil in sample is compressed

         If           R.R >1   soil has swelled

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Target GATE & ESE 2022 (Fluid Mechanics)

 Do You Know?

👉

• Hot Wire Anemometer: It is used for measurement of instantaneous velocity and temperature at a point in flow but it is an ideal tool for measurement of velocity fluctuations in time in turbulent flow.
• Orifice Meter: It is cheap device which is used to measure the volume flow rate means discharge.
• Pitot Tube: Used for measurement velocity of flow.

👉     Preston Tube: Used for Boundary shear stress measurement.     

👉     Submerged broad crested weir  (Cd = 0.83 to 0.85)

👉          Free broad crested weir ( Cd = 0.85 to 1)

👉       For ogee spillway ( Cd = 1.19 Cds), where Cds is the discharge coefficient for sharp crested weir. 

👉       Cd value increases for ogee due to adhering Nappe

👉 Rehbock formula gives the expression for discharge over a rectangular suppressed weir.

                                  Q = 2/3 (0.605 + 0.08 H/Z + 0.001/H) sqrt (2g). BH^1.5 

 👉 Francis found that due to end contraction the effective width of the nappe is reduced by o.1H.

                                                              Leff = (L - 0.1 nH)

👉 Cipolletti notch (or weir) is a trapezoidal notch which gives discharge equal to the discharge that would pass over a rectangular notch. 

                                                     Q = 2/3 Cd sqrt(2g) LH^1.5

👉 Ventilation of Nappe: When there is no ventilation of nappe, discharge increases because the Nappe is pulled down due to negative pressure created in the zone below nappe.

👉  Let Q be the discharge in free Nappe then

        For depressed Nappe Qd = (1.06-1.07) Q

        For Adhering Nappe  Qa = 1.25 Q

👉 Orifice is an opening in the tank and Mouthpiece is short length of tube

👉 Coefficient of resistance of Orifice (Cr) is defined as the ratio of Loss of KE through orifice to actual KE.

                                               Cr = (1/Cv^2 -1)

      where Cv is the coefficient of velocity. 

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Target GATE & ESE 2022 (Fluid Mechanics)

 Q.1 The range of coefficient of discharge for a venturimeter is 

(a) 0.6-0.7             (b) 0.7-0.85            (c) 0.85-0.92              (d) 0.92-0.98

Q.2 A rotameter is used to measure:

(a) viscosity of fluids

(b) density of fluids

(c) flow rate of fluids

(d) rotational energy of a fluid

Q.3 Notch is a device used for measuring

(a) rate of flow through pipes

(b) rate of flow through a small channels

(c) flow velocity through a pipe line

(d) flow velocity through a small channel

Q.4 A cipolletti weir is:

(a) a rectangular weir of varying dimension

(b) a weir is designed for economical discharge

(c) a combination of a rectangular and triangular weir

(d) a trapezoidal weir whose side slopes are one horizontal to four vertical

Q.5 In a rectangular weir, the discharge varies as:

(a) H               (b) H^0.5       (c) H^1.5            (d) H^2.5

Q.6 The sheet of water flowing through a notch or over a weir is known as

(a) Nappe            (b) Crest            (c) Height of weir/notch     (d) Sill

Q.7 If the error in the measurement of head in a rectangular notch is 1% , then error in the measurement of discharge will be

(a) 1%                                                    (b) 1.5%

(c) 2%                                                   (d) 2.5%