GATE ME purpose:exam-prep PYQs & Answers — Page 6

Questions 51–60 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 6 of 104

A cylindrical pressure vessel made of steel has diameter of 3 m and wall thickness of 15 mm. For steel, Young’s modulus and Poisson ratio are 210 GPa and 0.3, respectively. The cylinder is designed such that the allowable normal strain at the outer cylindrical surface is equal to 0.0034. The permissible pressure in the tank is ______ kPa (rounded off to 1 decimal place).

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A welded square plate of 1 m × 1 m is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa, as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is ______ (rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 52

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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 (

, in m) of the diffuser cross-section is expressed as

where,

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).

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Two rectangular surfaces both having 1 m² area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of 1000 K and emissivity of 0.4, while the other is insulated and in radiant balance with a large surrounding room at 300 K. If the fraction of radiation leaving the hot surface which reaches the cold face is 0.2, then the equivalent overall resistance for the radiation heat loss from the hot surface is ______ m⁻² (rounded off to 2 decimal places).

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Convective heat transfer coefficients for Fluid 1 and Fluid 2 in a heat exchanger, as shown in the figure below, are 50 W/(m²K) and 80 W/(m²K), respectively. The inner tube is made of a material which has a thermal conductivity 386 W/(m K) for the given range of temperatures in the heat exchanger. The length of the heat exchanging surface, the inside radius of the inner tube, and thickness of the inner tube are 1 m, 10 mm, and 1 mm, respectively. Considering no heat exchange between the outer tube and the surrounding, the heat transfer rate for the heat exchanger is ______ W (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 55

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A liquid comes out of the reactor of a chemical plant at 250 °C temperature with a flow rate of 100 LPM. The ambient temperature is 25 °C. Density and specific heat of the liquid remain constant at 1000 kg/m³ and 4.18 kJ/kg K, respectively, for the given range of temperature. The rate of energy associated with the hot liquid stream at the exit of the plant is ______ kW (rounded off to 2 decimal places).

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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.

Temperature	Specific volume		Specific internal energy
(°C)	(m³/kg)	(m³/kg)	(kJ/kg)	(kJ/kg)
80	0.001029	3.4053	334.97	2481.60
130	0.001070	0.6680	546.10	2539.50

, and

are temperature, specific volume, and specific internal energy, respectively. Subscripts

and

represent saturated liquid and saturated vapor, respectively.

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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°, then the inlet vane angle of the runner is ______ degree (rounded off to 1 decimal place).

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In a deep drawing operation of a rectangular sheet metal, 30% stretching in length results in 15% reduction in thickness. Assuming volume constancy, the normal anisotropy of the sheet metal is ______ (rounded off to 2 decimal places).

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The actual demand for castings in a factory is 500 units and 635 units for the months of January 2026 and February 2026, respectively. The forecasted demand for January 2026 is 250 units and smoothing constant is 0.7. Using the exponential smoothing method, the forecast of the demand for castings in March 2026 is ______ units (in integer).

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GATE ME purpose:exam-prep PYQs

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