#### Hydraulics and Fluid Machanics

1
The depth of centre of pressure lor an immersed surface inclined at an angle theta with the liquid surface lies at a distance equal to __________ the centre of gravity.
A. (l_(Gsin^2 theta))/(A overline(X))below
B. (l_(Gsin^2 theta))/(A overline(X))above
C. (l_(Gsin theta))/(A overline(X))below
D. (l_(Gsin theta))/(A overline(X))above

2

In order to avoid tendency of separation at throat in a venturimeter, the ratio of the diameter at throat to the diameter of pipe should be

A. 1/16 to 1/8
B. 1/8 to 1/4
C. 1/4 to 1/3
D. 1/3 to 1/2

3
The error in discharge (dQ/Q) to the error in measurement of head (dH/H) over a triangular notch is given by
A. (dQ)/(Q) = 3/2 xx (dH)/(H)
B. (dQ)/(Q) = 2 xx (dH)/(H)
C. (dQ)/(Q) = 5/2 xx (dH)/(H)
D. 3 xx (dH)/(H)

4
According to Darcy's formula, the loss of head due to friction in the pipe is (where f = Darcy's coefficient, l = Length of pipe, v = Velocity of liquid in pipe, and d = Diameter of pipe)
A. (flV^2)/(2gd)
B. (flV^2)/(gd)
C. (3flV^2)/(2gd)
D. (4flV^2)/(2gd)

5
The centre of pressure for a vertically immersed surface lies at a distance equal to __________ the centre of gravity.
A. (l_G)/(A overline(X)below
B. (l_G)/(A overline(X)above
C. (A overline(X))/(l_G)below
D. (A overline(X))/(l_G)above