GATE ME year:2025 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

Water enters a tube of diameter, D = 60 mm with mass flow rate of 0.01 kg s

as shown in the figure below. The inlet mean temperature is

K and the uniform heat flux at the surface of the tube is 2000 W m

. For the exit mean temperature of

K, the length of the tube, L is ________ m (rounded off to 1 decimal place).

Use the specific heat of water as 4181 J kg

Diagram for Mechanical Engineering question 51

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A thermal power plant is running with no heat regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are 3344 kJ kg

and 6.5 kJ kg

, respectively. The turbine isentropic efficiency is 0.9, and the mass flow rate of steam at the turbine inlet is 102 kg s

. The turbine power output is __________ MW (rounded off to 1 decimal place).

Properties of saturated liquid and saturated vapor at turbine exit pressure

Saturated liquid water: Specific enthalpy (kJ kg )	Saturated liquid water: Specific entropy (kJ kg K )	Saturated water vapor: Specific enthalpy (kJ kg )	Saturated water vapor: Specific entropy (kJ kg K )
341	1.1	2645	7.6

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Consider a Pelton wheel of 1 m diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity of water at the bucket exit. The absolute speed of water at the bucket inlet is 125.66 m s

. For maximum power output from the Pelton wheel, the rpm of the Pelton wheel is ________________ (rounded off to 1 decimal place).

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A thermodynamically closed system contains 1 kg of hydrogen. The system undergoes a reversible polytropic process with polytropic index 1.3. The work output during the process is 400 kJ. During the process, hydrogen behaves as an ideal gas with constant specific heats. The absolute value of heat transfer during the process is __________ kJ (rounded off to 1 decimal place).

Specific heat of hydrogen at constant pressure = 14.56 kJ kg

Specific heat of hydrogen at constant volume = 10.4 kJ kg

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A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K. Heat loss from the auditorium is 15 kW. The power consumption of the heat pump is ________ kW (rounded off to 2 decimal places).

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The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (

) is __________ (rounded off to 2 decimal places).

Use the Young’s Modulus E = 200 GPa and Poisson’s ratio

= 0.27.

Diagram for Mechanical Engineering question 56

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A simply supported beam of length 1 m is subjected to a uniformly distributed bending moment of 1 N m per m throughout the length as shown in the figure given below. The bending moment at the mid-point of the beam is ______ N m (rounded off to the nearest integer).

Diagram for Mechanical Engineering question 57

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An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the figure given below.

Diagram for Mechanical Engineering question 58

The strain energy density is ______ MJ m

(rounded off to 2 decimal places).

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A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating pressure angle is 15°, the minimum number of teeth required on the pinion to ensure NO interference/undercutting is ____ (answer in integer).

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An offset slider-crank mechanism is shown in the figure below.

Diagram for Mechanical Engineering question 60

The length of the stroke of the slider is _____ mm (rounded off to nearest integer).

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GATE ME year:2025 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60