GATE ME discipline:mechanical-and-production-engineering PYQs & Answers — Page 18

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Questions 171–180 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 18 of 104

Which of the following beam(s) is/are statically indeterminate?

Your answerSelect all correct options. You can choose more than one.

Diagram for Mechanical Engineering question 41

[Beam diagram: pin support at left end, roller support near right end, with downward loads P₁ and P₂.]

Diagram for Mechanical Engineering question 41 (figure 2)

[Beam diagram: pin support at left end, roller support near right end, applied couple M at the right end.]

Diagram for Mechanical Engineering question 41 (figure 3)

[Beam diagram: pin support at left end and two roller supports near the right end, with downward loads P₁ and P₂.]

Diagram for Mechanical Engineering question 41 (figure 4)

[Beam diagram: fixed support at left end, roller support near right end, applied couple M and downward load P.]

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If the value of the double integral

, then

is ______ (answer in integer).

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satisfies the differential equation

subject to the condition

, then the value of

is ______ (rounded off to 2 decimal places).

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Let

be a continuous random variable defined on

such that its probability density function

for

and 0 otherwise. Let

. Then the expected value of

is _____. (rounded off to 2 decimal places)

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Consider an air-standard Brayton cycle with adiabatic compressor and turbine, and a regenerator, as shown in the figure. Air enters the compressor at 100 kPa and 300 K and exits the compressor at 600 kPa and 550 K. The air exits the combustion chamber at 1250 K and exits the adiabatic turbine at 100 kPa and 800 K. The exhaust air from the turbine is used to preheat the air in the regenerator. The exhaust air exits the regenerator (state 6) at 600 K. There is no pressure drop across the regenerator and the combustion chamber. Also, there is no heat loss from the regenerator to the surroundings. The ratio of specific heats at constant pressure and volume is

. The thermal efficiency of the cycle is ________ % (answer in integer).

Diagram for Mechanical Engineering question 45

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A piston-cylinder arrangement shown in the figure has a stop located 2 m above the base. The cylinder initially contains air at 140 kPa and 350 °C and the piston is at rest in equilibrium at a position which is 1 m above the stops. The system is now cooled to the ambient temperature of 25 °C. Consider air to be an ideal gas with a value of gas constant

kJ/(kg.K).

The absolute value of specific work done during the process is ______ kJ/kg (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 46

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A heat pump (H.P.) is driven by the work output of a heat engine (H.E.) as shown in the figure. The heat engine extracts 150 kJ of heat from the source at 1000 K. The heat pump absorbs heat from the ambient at 280 K and delivers heat to the room which is maintained at 300 K. Considering the combined system to be ideal, the total amount of heat delivered to the room together by the heat engine and heat pump is ______kJ (answer in integer).

Diagram for Mechanical Engineering question 47

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Consider a slab of 20 mm thickness. There is a uniform heat generation of

MW/m

inside the slab. The left and right faces of the slab are maintained at 150 °C and 110 °C, respectively. The plate has a constant thermal conductivity of 200 W/(m.K). Considering a 1-D steady state heat conduction, the location of the maximum temperature from the left face will be at _____ mm (answer in integer).

Diagram for Mechanical Engineering question 48

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A condenser is used as a heat exchanger in a large steam power plant in which steam is condensed to liquid water. The condenser is a shell and tube heat exchanger which consists of 1 shell and 20,000 tubes. Water flows through each of the tubes at a rate of 1 kg/s with an inlet temperature of 30 °C. The steam in the condenser shell condenses at the rate of 430 kg/s at a temperature of 50 °C. If the heat of vaporization is 2.326 MJ/kg and specific heat of water is 4 kJ/(kg.K), the effectiveness of the heat exchanger is ______ (rounded off to 3 decimal places).

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Consider a hemispherical furnace of diameter

m with a flat base. The dome of the furnace has an emissivity of 0.7 and the flat base is a blackbody. The base and the dome are maintained at uniform temperatures of 300 K and 1200 K, respectively. Under steady state conditions, the rate of radiation heat transfer from the dome to the base is ______ kW (rounded off to the nearest integer).

Use Stefan-Boltzmann constant =

W/(m² K⁴)

Diagram for Mechanical Engineering question 50

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GATE ME discipline:mechanical-and-production-engineering PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50