GATE 1998 Mechanical Engineering (ME) Question Paper with Answer Key pdf is available for download. The exam was conducted by IIT Delhi . The question paper comprised a total of 75 questions from General Aptitude and Mechanical Engineering (ME) topics.
GATE 1998 Mechanical Engineering (ME) Question Paper with Answer Key PDF
GATE 1998 Mechanical Engineering (ME) Question Paper PDF
GATE 1998 Mechanical Engineering (ME) Answer Key PDF
A rigid closed vertical cylindrical vessel of 15 cm diameter contains 5 kg water at 80 °C with 10% quality. The water is heated till its temperature reaches 130 °C. Considering only a horizontal separated interface between liquid and vapor, the dip in the liquid level after the heating process is ________ cm (rounded off to 2 decimal places). Properties of water at various saturation temperatures are given in the table below.
T (°C)
vf (m3/kg)
vg (m3/kg)
uf (kJ/kg)
ug (kJ/kg)
80
0.001029
3.4053
334.97
2481.60
130
0.001070
0.66808
546.10
2539.50
T, v, and u are temperature, specific volume, and specific internal energy, respectively. Subscripts f and g represent saturated liquid and saturated vapor, respectively.
The activities of a PERT network and their corresponding activity time estimates (in weeks), namely optimistic (\(t_o\)), most likely (\(t_m\)), and pessimistic (\(t_p\)), are given in the table below.
Activity
\(t_o\)
\(t_m\)
\(t_p\)
1-2
2
4
12
1-3
2
4
6
1-4
3
4
11
2-5
3
6
9
3-4
2
5
14
3-5
3
3
3
4-5
3
6
15
5-6
2
5
8
The expected project length is ________ weeks (in integer).
An inward flow reaction turbine, having an outer diameter of \(1\) m, runs at \(600\) RPM. The normal component of absolute velocity at the inlet is \(10\) m/s. If the guide blade angle is \(15^{\circ}\), then the inlet vane angle of the runner is ________ degree (rounded off to 1 decimal place).
Water with a density of 1000 kg/m3 comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of 4.5 m3/min. The outlet of the pipe is connected to a coaxial diffuser of 0.5 m length using a flange to raise the pressure of water to atmospheric condition without any backflow. The inner radius (\(r\), in m) of the diffuser cross-section is expressed as
\[ r = 0.15 + 0.4x^2 \]
where, \(x\) represents the axial distance of the diffuser in m, from its inlet. Considering frictionless flow, the magnitude of the force exerted by the diffuser on the flange is ________ N (rounded off to 2 decimal places).
A metal has an FCC crystal structure with a density of \(2.71\) g/cm\(^3\) and atomic weight of \(26.98\) g/mol. Avogadro's number is \(6.023 \times 10^{23}\). The atomic radius of the metal is ________ nm (rounded off to 2 decimal places).
A drill bit during its lifetime can produce \(150\) through holes in a plate at a drill speed of \(200\) RPM. If the drill speed increases to \(300\) RPM, it can produce \(60\) through holes in the same plate before the drill bit fails. Assuming all other parameters remain constant, the value of the exponent in Taylor's tool life equation is ________ (rounded off to 2 decimal places).
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