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G-19 Part Test 1

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Question 1

The condition which necessarily means separation of boundary layer at a point is

Question 2

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

Question 3

A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment is applied at a distance of 100 mm from end P. The torsional reactions in Nm at the ends P and Q respectively are

Question 4

When τ represents a set of shear stress acting on side a then, the value of induced stress τi is?

Question 5

Calculate Efficiency of the system, the net Work transfer & Heat rejected to sink for a Carnot cycle operates between sources and sink temperatures of 285 °C and – 11 °C. If the system receives 100 kJ from the source.

Question 6

A fluid having density ρ is flowing with inlet velocity V through a uniformly varying pipe bend at right angle as shown in the figure. The inlet cross-section area of the pipe is twice the outlet cross-section area. If the pressure P at both the ends is same, then the angle made by the resultant force exerted on the pipe bend with the horizontal is

Question 7

Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2R×L the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density ρ up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure.

The force F required to hold the plug in its position is

Question 8

A closed cylinder having a radius R and height H is filled with oil density ï . If the cylinder is rotated about its axis at an angular velocity of ω , the thrust at the bottom of the cylinder is

Question 9

Load P is applied in a curved beam as shown in the diagram. How much did the point of application of the load deflected from its original position?[E modulus of elasticity]

Question 10

A circular bar rigidly fixed at its both ends uniformly taper from 150 mm at one end to 100 mm at the other end. If its temperature is raised through 30K, what will be maximum stress developed in the bar.
[Take Eas 200 GPa and Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image086.png as Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image087.pngfor the bar materials]

Question 11

A refrigerant compressor of 50 mm bore and 40 mm stroke operates at a speed of 1460 rpm between condensing and evaporating pressure limits of 1.219 MPa and 0.151 MPa. The clearance ratio is 5%, polytropic index of expansion in compressor is 1.18, specific volume of refrigerant at suction is 0.11 m3/kg. The mass flow rate of refrigerant will be

Question 12

A 4-stroke petrol engine at full load delivers 60 kW. It requires 8 kW to rotate it without load at the same speed and mechanical efficiency at full load is 88.51%. If the brake thermal efficiency is 30%, given that calorific value of the fuel is 45 MJ / kg and specific gravity of petrol is 0.80. The indicated thermal efficiency will be

Question 13

What will be the entropy of the gas at 35 bar and 850 K temperature? For the given following relations are cp = (0.80 + 0.00030 T) kg/kg K, and cv = (0.60 + 0.00030 T) kJ/kg K.
The specific heats of a gas vary linearly with absolute temperature according the given relations
If the entropy of the gas at 1 bar pressure and 273 K is zero,

Question 14

In a gas turbine, hot combustion products with the specific heats Cp = 0.98 kJ/kgK, Cv = 0.7538 kJ/kg K enter the turbine at 20 bar, 1500 K and exit at 1 bar. The isoentropic efficiency of the turbine is 0.94. The work developed by the turbine per kg of gas flow is

Question 15

A syringe with a frictionless plunger contains water and has at its end a 100 mm long needle of 1 mm diameter. The internal diameter of the syringe is 10 mm. Water density is 1000 kg/m3. The plunger is pushed in at 10 mm/s and the water comes out as a jet.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image413.jpg
Assuming ideal flow, the force F in Newton’s required on the plunger to push out the water is
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