A surveyor measured the distance between two points on the plan drawn to a scale of 1 cm = 40 m and the result was 468 m. Later, it was discovered that the scale used was 1 cm = 20 m.
The true distance between the points (in m) is __________ (round off to the nearest integer).
Free residual chlorine concentration in water was measured to be 2 mg/l (as Cl\(_2\)). The pH of water is 8.5. By using the chemical equation given below, the HOCl concentration (in \(\mu\)moles/l) in water is ___________ (round off to one decimal place).
\[ {HOCl} \rightleftharpoons {H}^+ + {OCl}^-, \quad pK = 7.50 \] Atomic weight: Cl = 35.5
Consider steady flow of water in the series pipe system shown below, with specified discharge. The diameters of Pipes A and B are 2 m and 1 m, respectively. The lengths of pipes A and B are 100 m and 200 m, respectively. Assume the Darcy-Weisbach friction coefficient, \( f \), as 0.01 for both the pipes.
The ratio of head loss in Pipe-B to the head loss in Pipe-A is ___________ (round off to the nearest integer).
A 6 m thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete 50% consolidation is 2 years.
The coefficient of volume change (\(m_v\)) is \(1.51 \times 10^{-3}\ {m}^2/{kN}\) and the unit weight of water is \(9.81\ {kN/m}^3\).
The coefficient of permeability (in m/year) is __________ (round off to three decimal places).
From a flow-net diagram drawn under a concrete dam, the following information is obtained:
(i) The head difference between upstream and downstream side of the dam is 9 m.
(ii) The total number of equipotential drops between upstream and downstream side of the dam is 10.
(iii) The length of the field nearest to the toe of the dam on the downstream side is 1 m.
If the soil below the dam is having a saturated unit weight of 21 kN/m\(^3\) and the unit weight of water is 9.81 kN/m\(^3\), then the factor of safety against the quick condition will be __________ (round off to two decimal places).