X-component of velocity in a 2-D incompressible flow is given by u = y2 + 4 xy.

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Question
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
Options
A. 4y
B. 2y²
C. -2y²
D. 2xy

Correct Answer

-2y²

GATE Exam Questions problems

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2. A reinforced concrete column contains longitudinal steel equal to 1 percent of net cross-sectional area of the column. Assume modular ratio as 10. The loads carried (using the elastic theory) by the longitudinal steel and the net area of concrete, are P_s and P_c respectively. The ratio P_s/P_c expressed as percent is
Options
A. 0.1
B. 1
C. 1.1
D. 10

3. A tube well having a capacity of 4 m³/hour operates for 20 hours each day during the irrigation season. How much area can be commanded if the irrigation interval is 20 days and depth of irrigation is 7 cm?
Options
A. 1.71 x 10⁴ m²
B. 1.14 x 10⁴ m²
C. 22.9 x 10⁴ m²
D. 2.29 x 10⁴ m²

4. The peak discharge of the instantaneous unit hydrograph of a basin, when compared to the peak discharge of a 4-hour unit hydrograph of that basin, would be
Options
A. greater
B. equal
C. equal or lesser
D. lesser

5. The span to depth ratio limit is specified in IS : 456-1978 for the reinforced concrete beams, in order to ensure that the
Options
A. tensile crack width is below a limit
B. shear failure is avoided
C. stress in the tension reinforcement is less than the allowable value
D. deflection of the beam is below a limiting value

6. Un-factored maximum bending moments at a section of a reinforced concrete beam resulting from a frame analysis are 50, 80, 120 and 180 kNm under dead, live, wind and earthquake loads respectively. The design moment (kNm) as per IS: 456-2000 for the limit state of collapse (flexure) is
Options
A. 195
B. 250
C. 345
D. 372

7. A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P as shown below

The length L_P of the plastic zone, when the maximum bending moment equals the plastic moment M_P, given by
Options
A.
B.
C.
D.

9. Flexible pavements derive stability primarily from :
Options
A. aggregate interlock, particle friction and cohesion
B. cohesion alone
C. the binding power of bituminous materials
D. the flexural strength of the surface course

10. The capacities of "One-way 1.5 m wide sidewalk (persons per hour)" and "One-way 2-lane urban road (PCU per hour, with no frontage access, no standing vehicles and very little cross traffic)" are respectively.
Options
A. 1200 and 2400
B. 1800 and 2000
C. 1200 and 1500
D. 2000 and 1200

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