##### Q51. A large hydraulic turbine is to generate 300 kW at 100 rpm under a head of 40 m. For initial testing, a 1 : 4 scale model of the turbine operates under a head of 10 m. The power generated by the model (in kW) will be

(a) 2.34
(b) 4.68
(c) 9.38
(d) 18.75.                                                                                                       (GATE-ME-2006)

Ans: (a) 2.34

##### Q52. The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = u0(1 – 4r2 /D2 ), where r is the radial distance from the centre. If the viscosity of the fluid is μ, the pressure drop across a length L of the pipe is

(a) μu0 L/D
(b) 4μu0 L/D
(c) 8μu0 L/D
(d) 16μu0L/D .                                                                                               (GATE-ME-2006)

Ans:  (d) 16μu0L/D2

(a) 25%
(b) 50%
(c) 80%
(d) 89%.

Ans:  (c) 80%

##### Q54. A turbine is called impulse if at the inlet of the turbine

(a) total energy is only kinetic energy
(b) total energy is only pressure energy
(c) total energy is the sum of kinetic energy and pressure energy
(d) none of the above.

Ans:  (a) total energy is only kinetic energy

##### Q55. The velocity components in the x- and y-directions are given by u = λxy3 – x2y, v =xy 2 -3 /4 y4 .The value of λ for a possible flow field involving an incompressible fluid is

(a) -3/4
(b) -4/3
(c)4/3
(d) 3.                                                                                                           (GATE-ME-1995)

Ans:   (d) 3.

##### Q56. A fluid flow is represented by the velocity field →V=→ax i +→ ay j , where a is a constant. Theequation of stream line passing through a point (1, 2) is

(a) x – 2y = 0
(b) 2x + y = 0
(c) 2x – y = 0
(d) x + 2y = 0.                                                                                      (GATE-ME-2004)

Ans: (c) 2x – y = 0

##### Q57. For high head and low discharge, the suitable turbine is

(a) Pelton
(b) Francis
(c) Kaplan
(d) None of the above.

Ans:  (a) Pelton

##### Q58. Streamlines, path lines and streak lines are virtually identical for

(a) uniform flow
(b) flow of ideal fluids
(d) non uniform flow.                                                                  (GATE-ME-1994)

Ans:  (c) steady flow

(a) 1.33
(b) 1.5
(c) 2.0
(d) 2.25.

Ans:  (c) 2.0

##### Q60. In a flow field the stream lines and equipotential lines

(a) are parallel
(b) cut at any angle
(c) are orthogonal every where in the field
(d) cut orthogonal except at the stagnation points.                                             (GATE-ME-1994)

Ans: (d) cut orthogonal except at the stagnation points.

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