X-component of velocity in a 2-D incompressible flow is given by u = y² + 4 xy. If Y-com-ponent of velocity 'v' equals zero at y = 0, the expression for 'v' is given by

The kinetic energy correction factor for a full developed laminar flow through a circular pipe is

The slope of the e-log p curve for a soil mass gives :

Principle involved in the relationship between submerged unit weight and saturated weight of a soil is based on

The modulus of
subgrade reaction is obtained from the plate bearing test in the form of
load-deformation curve. The pressure corresponding to the following
settlement value should be used for computing modulus of subgrade
reaction

The ruling
minimum radius of horizontal curve of a national highway in plain
terrain for ruling design speed of 100 km/hour with e = 0.07 and f = 0.15 is close to

A hydraulic turbine has a discharge of 5 m³/s,
when operating under a head of 20 m with a speed of 500 rpm. If it is
to operate under a head of 15 m, for the same discharge, the rotational
speed in rpm will approximately be

The Prandtl mixing length for turbulent flow through pipes is

A hydraulic turbine develops a power of 10⁴
metric horse power while running at a speed of 100 revolutions per
minute, under a head of 40 m. Its specific speed is nearest to one of
the following :

Lysimeter and Tensiometer are used to measure respectively, one of the following groups of quantities :