1. The condition of stable equilibrium foe a floating body is:
(a) metacentre coincides with centre of gravity
(b) metacentre is below centre of gravity
(c) metacentre is above centre of gravity
(d) centre of buoyancy is above centre of gravity
2. The thickness of turbulent boundary layer at a distance x from the leading edge over a flat plate varies as
(a) $x^{0.8}$ (b) $x^{0.5}$
(c) $x^{0.2}$ (d) $x^{0.6}$
3. The diameters of a pipe at the section 2 and 2 are 10 cm and 15 cm respectively. Velocity of water flowing through the pipe at section 1 is 5 m/s. Velocity at section 2 in m/s and discharge in cmm is
(a) 2.2 & 2.4 (b) 2.7 & 2.8
(c) 2.1 & 2.4 (d) 2.4 & 2.6
4. The velocity distribution foe flow over a flat plate is given $u = \frac{3 y}{4} - y^2$ in which u is the velocity in m/s at a distance y meter above the plate. Shear stress at y = 0.15m is (Take viscosity for fluid is 8.5 poise)
(a) 0.3825 Pa (b) 0.3815 Pa
(c) 0.3835 Pa (d) 0.3845 Pa
5. A gas weighs 16 N/m3 at 288 K and at an adibatic pressure of 25 N/cm2. Its gas constant is
(a) 532 J/kg K (b) 544 J/kg K
(c) 553 J/kg K (d) 523 J/kg K
6. A pipe line AB of diameter 30 cm and of length 400 m carries water at the rate of 50 liters/sec. The flow takes place from A to B where point B is 30 meters above A. Pressure at B is 2 ksc. Pressure at A is (Take f =0.008)
(a) 5.2 ksc (b) 5.3 ksc
(c) 5.0 ksc (d) 5.1 ksc
7. A nozzle is fitted at the end of a pipe of length 300m and of diameter 10 cm for transmitting water. What is the diameter of the nozzle considering maximum transmission of power through the nozzle (f =0.009)
(a) 2.6 cm (b) 2.5 cm
(c) 2.4 cm (d) 2.7 cm
8. A turbine develops 500 kW under a head of 100 meters at 200 RPM. Its normal speed and power under a head of 81 meters
(a) 184 RPM and 375 kW (b) 180 RPM and 365 kW
(c) 184 RPM and 370 kW (d) 180 RPM and 361 kW
9. Number of degrees of freedom in a Ball socket joint:
(a) 1 (b) 2 (c) 3 (d) 0
10. Two inelastic spheres of masses 10 kg each move with velocities of 15 m/s and 5 m/s respectively in the same direction. The loss in kinetic energy when they collide
(a) 500 Nm (b) 0 (c) 250 Nm (d) 1000 Nm
11. In order to have maximum power from a Pelton turbine, the bucket speed must be
(a) equal to the jet speed
(b) equal to half of the jet speed
(c) equal to twice the jet speed
(d) independent of the jet speed
12. The alloying element mainly used to improve the endurance strength of steel material is
(a) Nickel (b) Vanadium
(c) Molybdenum (d) Tungusten
13. The percentage improvement in power capacity of a flat belt drive, when the wrap angle at the driving pulley is increased from 150 deg to 210 deg by an idler arrangement for a friction coefficient of 0.3 is
(a) 25.21 (b) 33.92 (c) 40.17 (d) 67.85
14. In an interchangeable assembly, shaft of size $25.000^{+0.04}_{-0.01}$ mm mates with a hole of size $25.000^{+0.03}_{+0.03}$ mm. Maximum interface in microns in the assembly is
(a) 40 (b) 30 (c) 10 (d) 20
15. A column has a rectangular cross section of 10 x 20 mm and a length of 1m. The slenderness ratio of the column is close to
(a) 200 (b) 346 (c) 477 (d) 1000
16. A thin cylinder of inner radius 500 mm and thickness 10 mm is subjected to an internal pressure of 5 MPa. The average hoop stress in MPa is
(a) 100 (b) 250 (c) 500 (d) 1000
17. A circular disk of uniform thickness 20 mm, radius 200 mm and mass 20 kg is used as flywheel. If it rotates at 600 rpm, kinetic energy of flywheel in Joule is
(a) 395 (b) 790 (c) 1580 (d) 3160
18. A vibration system consists of a mass of 175 kg, a spring stiffness 700 N/cm and damper with a damping coefficient of 7 N-sec/cm. Damping factor of the system is
(a) 0.15 (b) 0.25 (c) 0.2 (d) 0.1
19. Two cutting tools are being compared for a machining operation. The tool life equations are Carbide tool: $VT^1.6 = 3000$; HSS tool : $VT^0.6 = 200$, where V is the cutting speed in m/min and T is tool life in min. The carbide tool will provide higher tool life if the cutting speed in m/min exceedds
(a) 39.4 (b) 15 (c) 60 (d) 49.3
20. The diameter of suction side of a reciprocating compressor compared to its delivery side is
(a) smaller (b) equal (c) bigger (d) varies according to capacity
ans of 13 is C.
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