Recent questions tagged numerical-answers / GO Civil

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241

GATE2019 CE-1: 41
A $0.80 \: m$ deep bed of sand filter (length $4 \:m $ and width $3 \: m$) is made of uniform particles (diameter $=0.40 \: mm$, specific gravity $=2.65$, shape factor $=0.85$) with bed porosity of $0.4$. The bed has to be backwashed at ... the terminal settling velocity of sand particles is $0.05 \: m/s$, the expanded bed depth (in $m$ round off to $2$ decimal places) is _______

A $0.80 \: m$ deep bed of sand filter (length $4 \:m $ and width $3 \: m$) is made of uniform particles (diameter $=0.40 \: mm$, specific gravity $=2.65$, shape factor $=...

Arjun

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242

GATE2019 CE-1: 45
Average free flow speed and the jam density observed on a road stretch are $60 \: km/h$ and $120$ vehicles/km, respectively. For a linear speed-density relationship, the maximum flow on the road stretch (in vehicles/h) is _______

Average free flow speed and the jam density observed on a road stretch are $60 \: km/h$ and $120$ vehicles/km, respectively. For a linear speed-density relationship, the ...

Arjun

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243

GATE2019 CE-1: 46
Traffic on a highway is moving at a rate of $360$ vehicles per hour at a location. If the number of vehicles arriving on this highway follows Poisson distribution, the probability (round off to $2$ decimal places) that the headway between successive vehicles lies between $6$ and $10$ seconds is ________

Traffic on a highway is moving at a rate of $360$ vehicles per hour at a location. If the number of vehicles arriving on this highway follows Poisson distribution, the pr...

Arjun

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244

GATE2019 CE-1: 47
A parabolic vertical curve is being designed to join a road of grade $+5 \%$ with a road of grade $-3 \%$. The length of the vertical curve is $400 \: m$ measured along the horizontal. The vertical point of curvature (VPC) is located on the ... $m$, round off to the nearest integer) is _________

A parabolic vertical curve is being designed to join a road of grade $+5 \%$ with a road of grade $-3 \%$. The length of the vertical curve is $400 \: m$ measured along t...

Arjun

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245

GATE2019 CE-1: 48
Tie bars of $12 \: mm$ diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is $230 \: MPa$, the average bond strength between a tie bar and concrete is $2 \: MPa$, and the joint gap between the slabs ... loss of bond and the tolerance factor, the design length of the tie bars (in $mm$, round off to the nearest integer) is ________

Tie bars of $12 \: mm$ diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is $230 \: MPa$, the average bond strength betw...

Arjun

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246

GATE2019 CE-1: 49
The hyetograph of a storm event of duration $140$ minutes is shown in the figure: The infiltration capacity at the start of this event $(t=0)$ is $17 \: mm/hour$, which linearly decreases to $10 \: mm/hour$ after $40$ minutes duration. As the event ... of the storm event. The value of the infiltration index, $\phi$ (in $mm/hour$ round off to $2$ decimal places), is _____________

The hyetograph of a storm event of duration $140$ minutes is shown in the figure:The infiltration capacity at the start of this event $(t=0)$ is $17 \: mm/hour$, which li...

Arjun

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247

GATE2019 CE-1: 50
Two water reservoirs are connected by a siphon (running full) of total length $5000$ m and diameter of $1.10$ m, as shown below (figure not drawn to scale). The inlet leg length of the siphon to its summit is $2000$ m. The difference in the water surface ... of the summit of siphon from the water level of upper reservoir, $h$ (in m, round off to $1$ decimal place) is ______

Two water reservoirs are connected by a siphon (running full) of total length $5000$ m and diameter of $1.10$ m, as shown below (figure not drawn to scale).The inlet leg ...

Arjun

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248

GATE2019 CE-1: 51
Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of $1 \: cm/s$ in the x-direction. The distance between the plates is $5 \: mm$ and the dynamic viscosity ... $\dfrac {\partial p}{\partial x}$, (in $N/m^2$ per $m$, round off to $1$ decimal place) is _________

Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocit...

Arjun

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249

GATE2019 CE-1: 52
A reinforced concrete circular pile of $12 \: m$ length and $0.6 \: m$ diameter is embedded in stiff clay which has an undrained unit cohesion of $110 \: kN/m^2$. The adhesion factor is $0.5$. The Net Ultimate Pullout (uplift) Load for the pile (in $kN$, round off to $1$ decimal place) is __________

A reinforced concrete circular pile of $12 \: m$ length and $0.6 \: m$ diameter is embedded in stiff clay which has an undrained unit cohesion of $110 \: kN/m^2$. The adh...

Arjun

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250

GATE2019 CE-1: 53
A granular soil has a saturated unit weight of $20 \:kN/m^3$ and an effective angle of shearing resistance of $30^{\circ}$. The unit weight of water is $9.81 \: kN/m^3$. A slope is to be made on this soil deposit in which the seepage occurs ... seepage condition for a factor of safety of $1.5$, the safe slope angle (in degree, round off to $1$ decimal place) would be ________

A granular soil has a saturated unit weight of $20 \:kN/m^3$ and an effective angle of shearing resistance of $30^{\circ}$. The unit weight of water is $9.81 \: kN/m^3$. ...

Arjun

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251

GATE2019 CE-1: 54
A $3 \: m \times 3 \: m$ square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as shown in the figure. A reaction arrangement using precast PCC blocks placed on the ground ... the same properties that of soil, the factor of safety (round off to $1$ decimal place) against shear failure is ________

A $3 \: m \times 3 \: m$ square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as sho...

Arjun

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252

GATE2019 CE-1: 55
A square footing of $ 4 \: m$ side is placed at $1 \: m$ depth in a sand deposit. The dry unit weight $( \gamma)$ of sand is $15 \: kN/m^3$. This footing has an ultimate bearing capacity of $600 \: kPa$ ... deposit. For a factor of safety of $3.0$ as per Terzaghi's theory, the safe bearing capacity (in $kPa$) of this footing would be _________

A square footing of $ 4 \: m$ side is placed at $1 \: m$ depth in a sand deposit. The dry unit weight $( \gamma)$ of sand is $15 \: kN/m^3$. This footing has an ultimate ...

Arjun

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253

GATE2019 CE-2: 20
The degree of static indeterminacy of the plane frame as shown in the figure is ________

The degree of static indeterminacy of the plane frame as shown in the figure is ________

Arjun

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Arjun asked Feb 12, 2019

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254

GATE2019 CE-2: 21
The characteristic compressive strength of concrete required in a project is $25 \: MPa$ and the standard deviation in the observed compressive strength expected at site is $4 \: MPa$. The average compressive strength of cubes tested at different water-cement (w/c) ... The water-cement ratio (in percent, round off to the lower integer) to be used in the mix is ______

The characteristic compressive strength of concrete required in a project is $25 \: MPa$ and the standard deviation in the observed compressive strength expected at site ...

Arjun

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255

GATE2019 CE-2: 22
The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table $\begin{array}{|c|c|} \hline \text{Line} & \text{Included angle (in degrees)} \\ \hline PQ & 88 \\ \hline QR & 92 \\ \hline RS & 94 \\ \hline SP & 89 \\ \hline \end{array}$ The closing error for the traverse PQRS (in degrees) is ______

The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table$$\begin{array}{|c|c|} \hline \text{Line} & \text{Included angle (in d...

Arjun

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256

GATE2019 CE-2: 23
A vehicle is moving on a road of grade $+4 \%$ at a speed of $20 \: m/s$. Consider the coefficient of rolling friction as $0.46$ and acceleration due to gravity as $10 \: m/s^2$. On applying brakes to reach a speed of $10 \: m/s$, the required braking distance (in m, round off to nearest integer) along the horizontal, is ______

A vehicle is moving on a road of grade $+4 \%$ at a speed of $20 \: m/s$. Consider the coefficient of rolling friction as $0.46$ and acceleration due to gravity as $10 \:...

Arjun

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257

GATE2019 CE-2: 24
The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is $120$ days and its total water requirement, $\Delta$, is $40 \: cm$. If the canal discharge is $2 \: m^3/s$, the area, in hectares, rounded off to the nearest integer, which could be irrigated (neglecting all losses) is _________

The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is $120$ days and its total water requirement, $\Delta$, is $40 \: cm$. If the cana...

Arjun

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258

GATE2019 CE-2: 25
Construction of a new building founded on a clayey soil was completed in January $2010$. In January $2014$, the average consolidation settlement of the foundation in clay was recorded as $10 \: mm$. The ultimate consolidation settlement was estimated in ... soil site, the expected consolidation settlement in January $2019$( in mm, round off to the nearest integer) will be _______

Construction of a new building founded on a clayey soil was completed in January $2010$. In January $2014$, the average consolidation settlement of the foundation in clay...

Arjun

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259

GATE2019 CE-2: 36
A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in $kN$, round off to the nearest integer) caused at the internal hinge B due to the two loads is _________

A long uniformly distributed load of $10 \: kN/m$ and a concentrated load of $60 \: kN$ are moving together on the beam ABCD shown in the figure (not drawn to scale). The...

Arjun

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260

GATE2019 CE-2: 37
A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times 10^5 \: kNm/rad$. For the externally applied moment of $30 \: kNm$ at node F, the rotation (in degrees, round off to $3$ decimals) observed in the rotational spring at node H is ______

A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times...

Arjun

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261

GATE2019 CE-2: 38
A rolled $I$-section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm$, respectively. Root radius of the $I$-section is $10 \: mm$. Assume: material ... $IS: 800-2007$, the web bearing strength (in $kN$, round off to $2$ decimal places) of the beam is __________

A rolled $I$-section beam is supported in a $75 \: mm$ wide bearing plate as shown in the figure. Thicknesses of flange and web of the $I$ section $20 \: mm$ and $8 \: mm...

Arjun

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262

GATE2019 CE-2: 39
When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long time, the strain increases to $1000 \times 10^{-6}$. In ... with the provisions of $IS:456-2000$, considering the long-term effects, the effective modulus of elasticity of the concrete (in $MPa$) is _________

When a specimen of $M25$ concrete is loaded to a stress level of $12.5 \: MPa$, a strain of $500 \times 10^{-6}$ is recorded. If this load is allowed to stand for a long ...

Arjun

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263

GATE2019 CE-2: 40
A water treatment plant treats $6000 \: m^3$ of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column test indicates that an overflow rate of $1.5 \: m$ per hour would produce the desired removal of ... of $3.0 \:m$. The volume of the required clarifier, (in $m^3$, round off to $1$ decimal place) would be ______

A water treatment plant treats $6000 \: m^3$ of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column ...

Arjun

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264

GATE2019 CE-2: 41
Raw municipal solid waste (MSW) collected from a city contains $70 \%$ decomposable material that can be converted to methane. The water content of the decomposable material is $35\%$. An elemental analysis of the decomposable material yields the following mass percent. ... The mass of methane produced (in grams, round off to $1$ decimal place) per kg of raw MSW will be _________

Raw municipal solid waste (MSW) collected from a city contains $70 \%$ decomposable material that can be converted to methane. The water content of the decomposable mater...

Arjun

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265

GATE2019 CE-2: 42
Consider the reactor shown in the figure. The flow rate through the reactor is $Q \: m^3/h$. The concentrations (in $mg/L$) of a compound in the influent and effluent are $C_0$ and $C$, respectively. The compound is degraded in the reactor following the first order ... $L_{\text{CMFR}}/L_{\text{PFR}}$ (round off to $2$ decimal places) is ____________

Consider the reactor shown in the figure. The flow rate through the reactor is $Q \: m^3/h$. The concentrations (in $mg/L$) of a compound in the influent and effluent are...

Arjun

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Arjun asked Feb 12, 2019

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266

GATE2019 CE-2: 43
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \: 1.87$, and $1.15 \:m$. The area (in $m^2$, round off to 2 decimal places) bounded by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is ________

A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \:...

Arjun

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267

GATE2019 CE-2: 44
The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are $20$ and $50$ vehicles/minute, respectively. For this signal, the red time is $30 \: s$, the effective green time is $30 \: s$, and the cycle ... average delay per vehicle using the approach road during a cycle length (in $s$, round off to $2$ decimal places) is __________

The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are $20$ and $50$ vehicles/minute, respectively. For this signal, ...

Arjun

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268

GATE2019 CE-2: 45
A broad gauge railway line passes through a horizontal curved section (radius $=875 \:m$) of length $200 \: m$. The allowable speed on this portion is $100 \: km/h$. For calculating the cant, consider the gauge as centre-to-centre distance between ... (in $mm$, round off to $1$ decimal place) with respect to the centre-to-centre distance between the rail heads is _____________

A broad gauge railway line passes through a horizontal curved section (radius $=875 \:m$) of length $200 \: m$. The allowable speed on this portion is $100 \: km/h$. For ...

Arjun

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269

GATE2019 CE-2: 46
The speed-density relationship of a highway is given as $u = 100 – 0.5 \: k$ where, $u=$ speed in $km$ per hour, $k=$ density in vehicles per $km$. The maximum flow (in vehicles per hour, round off to the nearest integer) is _______

The speed-density relationship of a highway is given as $$u = 100 – 0.5 \: k$$ where, $u=$ speed in $km$ per hour, $k=$ density in vehicles per $km$. The maximum flow (...

Arjun

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270

GATE2019 CE-2: 47
A confined aquifer of $15 \: m$ constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale). The heads indicated by two piezometers P and Q are $55.2 \: m$ and $34.1 \: m$, respectively. The aquifer has a ... taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to $1$ decimal place) is ______

A confined aquifer of $15 \: m$ constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale).The heads indicated by two piezometers...

Arjun

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271

GATE2019 CE-2: 48
At the foot of a spillway, water flows at a depth of $23 \: cm$ with a velocity of $8.1 \: m/s$, as shown in the figure. The flow enters as an $M-3$ profile in the long wide rectangular channel with bed slope $= \frac{1}{1800}$ and Manning's $n=0.015$ ... $y_1$ (in $m$, round off to $2$ decimal places) is _________

At the foot of a spillway, water flows at a depth of $23 \: cm$ with a velocity of $8.1 \: m/s$, as shown in the figure.The flow enters as an $M-3$ profile in the long wi...

Arjun

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272

GATE2019 CE-2: 49
Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely into the atmosphere. In the second case, they are ... ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to $2$ decimal places) is ________

Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in...

Arjun

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273

GATE2019 CE-2: 50
The ordinates, $u$, of a $2$-hour unit hydrograph (i.e., for $1$ ... base flow is constant at $5 \: m^3/s$, the peak flow due to this storm (in $m^3/s$, round off to $1$ decimal place) will be __________

The ordinates, $u$, of a $2$-hour unit hydrograph (i.e., for $1$ cm of effective rain), for a catchment, are shown in the table.$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c...

Arjun

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274

GATE2019 CE-2: 51
The dimensions of a soil sampler are given in the table. ... $2$ decimal places) is ______________

The dimensions of a soil sampler are given in the table.$$\begin{array}{|c|c|c|} \hline \text{Parameter} & \text{Cutting edge} & \text{Sampling tube} \\ \hline \text{Insi...

Arjun

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275

GATE2019 CE-2: 52
A $2 \: m \times 4 \: m$ rectangular footing has to carry a uniformly distributed load of $120 \: kPa$. As per the $2:1$ dispersion method of stress distribution, the increment in vertical stress (in $kPa$) at a depth of $2\: m$ below the footing is _______

A $2 \: m \times 4 \: m$ rectangular footing has to carry a uniformly distributed load of $120 \: kPa$. As per the $2:1$ dispersion method of stress distribution, the inc...

Arjun

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276

GATE2019 CE-2: 53
Constant head permeability tests were performed on two soil specimens, $S1$ and $S$. The ratio of height of the two specimens $(L_{S1}: L_{S2})$ is $1.5$, the ratio of the diameter of specimens $(D_{S1}: D_{S2})$ is $0.5$, and the ratio of the ... $(k_{S1}: k_{S2})$ is _____

Constant head permeability tests were performed on two soil specimens, $S1$ and $S$. The ratio of height of the two specimens $(L_{S1}: L_{S2})$ is $1.5$, the ratio of th...

Arjun

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277

GATE2019 CE-2: 54
A timber pile of length $8 \: m$ and diameter $0.2 \: m$ is driven with a $20 \: kN$ drop hammer, falling freely from a height of $1.5 \: m$. The total penetration of the pile in the last $5$ blows is $40 \: mm$. Use the Engineering News Record ... to energy losses) of $2.5 \: cm$. The safe load carrying capacity of the pile (in $kN$, round off to $2$ decimal places) is __________

A timber pile of length $8 \: m$ and diameter $0.2 \: m$ is driven with a $20 \: kN$ drop hammer, falling freely from a height of $1.5 \: m$. The total penetration of the...

Arjun

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278

GATE2019 CE-2: 55
A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\circ}$, and unit weight $\gamma = 18 \: kN/m^3$. Terzaghi's bearing capacity ... and $N_{\gamma}' =3.2$. The ultimate bearing capacity of the foundation (in $kPa$, round off to $2$ decimal places) is _________

A square footing of $2 \: m$ sides rests on the surface of a homogeneous soil bed having the properties: cohesion $c= 24 \: kPa$, angle of internal friction $\phi = 25^{\...

Arjun

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279

GATE2016-2-1
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______ (Note: answer with one decimal accuracy)

The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______(Note...

Milicevic3306

11.9k points

Milicevic3306 asked Mar 27, 2018

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280

GATE2016-2-15
Water table of an aquifer drops by $100$ cm over an area of $1000 \: km^2$. The porosity and specific retention of the aquifer material are $25 \%$ and $5\%$ respectively. The amount of water (expressed in $km^3$) drained out from the area is ________

Water table of an aquifer drops by $100$ cm over an area of $1000 \: km^2$. The porosity and specific retention of the aquifer material are $25 \%$ and $5\%$ respectively...

Milicevic3306

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Milicevic3306 asked Mar 27, 2018