Mechanical Engineering Gate 2025 Questions with Answer

Ques 53 GATE 2025


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. The strain energy density is ______ MJ m-3 (rounded off to 2 decimal places).


(9.75) is the correct answer.

Ques 54 GATE 2025


A rigid circular disc of radius r (in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is ω (in rad s-1). The velocities (in m s-1) at points O and A, respectively, are

A

rω î and 0 î

B

rω î and 0 î

C

rω î and √2rω î

D

rω î and rω î


(d) is the correct answer.

Ques 55 GATE 2025


In the context of balancing of rotating and reciprocating masses, which one of the following options is true?

A

An unbalanced rigid rotor can be completely balanced using a single balancing mass

B

An unbalanced rigid rotor can be completely balanced using two balancing masses attached in two distinct planes

C

A single-cylinder internal combustion engine can be completely balanced using a single balancing mass

D

A single-cylinder internal combustion engine can be completely balanced using two balancing masses


(b) is the correct answer.

Ques 56 GATE 2025


An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is ______ mm (rounded off to nearest integer).


(98) is the correct answer.

Ques 57 GATE 2025


Let a spherical block of ice at -7°C be exposed to atmospheric air at 30°C with the gravitational direction as shown in the figure below. What will be the overall direction of air flow in this situation?

A

Upward

B

Downward

C

NO motion

D

Sideward


(b) is the correct answer.

Ques 58 GATE 2025


Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?

A

The enthalpy of the air increases while the entropy of the air remains constant

B

Both the enthalpy and the entropy of the air remain constant

C

Both the enthalpy and the entropy of the air increase

D

The enthalpy of the air decreases while the entropy of the air increases


(c) is the correct answer.

Ques 59 GATE 2025


In a psychrometric chart, one axis represents dry-bulb temperature. The axis, that is perpendicular to the dry-bulb temperature axis, represents

A

wet-bulb temperature

B

specific humidity

C

relative humidity

D

enthalpy


(b) is the correct answer.

Ques 60 GATE 2025


The thermal efficiency of an ideal air-standard Otto cycle is 0.5. The value of specific heat ratio of air is 1.4. The compression ratio of the cycle is ______ (rounded off to 1 decimal place).


(4.0) is the correct answer.

Ques 61 GATE 2025


A thermal power plant is running with no reheat or regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are 3344 kJ kg-1 and 6.5 kJ kg-1K-1 respectively. The turbine isentropic efficiency is 0.9, and the mass flow rate of steam at the turbine inlet is 102 kg s-1. 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 waterSaturated water vapor
Specific entropy (kJ kg-1K-1)Specific enthalpy (kJ kg-1)Specific entropy (kJ kg-1K-1)Specific enthalpy (kJ kg-1)
7.61.13412645


(226.7) is the correct answer.

Ques 62 GATE 2025


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-1K-1
Specific heat of hydrogen at constant volume =10.4 kJ kg-1K-1


(114.3) is the correct answer.

Ques 63 GATE 2025


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).


(1.07) is the correct answer.

Ques 64 GATE 2025


A block of mass 1 kg connected to a spring of stiffness 10 N m-1 is operating in a viscous medium such that the damping ratio (or damping factor) is equal to the ratio of the damped frequency to the natural frequency. The magnitude of the damping ratio for this system is ______ (rounded off to 2 decimal places).


(0.62) is the correct answer.

Ques 65 GATE 2025


The system shown in the figure below consists of a cantilever beam (with flexural rigidity EI and negligible mass), a spring (with spring constant K and negligible mass) and a block of mass m. Assuming a lumped parameter model for the system, the fundamental natural frequency (ωn) of the system is

A

√((3EI/L3)+K)/m

B

√((EI/L3)+K)/m

C

√((3EI/L3)+K)/(2m)

D

√((EI/L3)+K)/(2m)


(a) is the correct answer.

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