Engineering Sciences
GATE XE kind:question PYQs
Build your understanding with focused practice from past exam papers.
Questions 981–990 of 1772. Imported answers require independent review unless marked reviewed.
Question 19
Open questionXE-DNAT2 marksNeeds review
At room temperature of 25°C, a gap of 1 mm exists between the ends of the rods 1 and 2 as shown. Given the cross section area A of the rods is 1500 mm², Young’s modulus E = 75 GPa and the coefficient of thermal expansion
. When the temperature has reached 150°C, the magnitude of normal stress in each of the rods (in MPa, rounded off to two decimal places) is

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Open questionXE-DNAT2 marksNeeds review
A tube of inner radius 4 cm and outer radius 5 cm can carry a maximum torque of T. This tube is now replaced by a solid circular shaft of the same material. The minimum radius of the solid circular shaft (in cm, rounded off to two decimal places) to carry the same amount of torque T is
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Open questionXE-DNAT2 marksNeeds review
In System A, a rectangular block of mass M is centrally supported on a spring of stiffness K as shown. In the System B, the mass is hinged at one of its ends and is supported centrally by the spring. The ratio of natural frequency of System B to that of System A (rounded off to two decimal places) is

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Open questionXE-DNAT2 marksNeeds review
A coronavirus droplet of mass 1 microgram ejects from the mouth of a patient with a velocity of 0.7 m/s and travels through air. The gravitational force experienced by it can be neglected due to the buoyancy effect. However, the droplet experiences air drag force proportional to its velocity and the drag coefficient is given as 1.0 μN·s/m. The distance travelled by the droplet before its velocity drops to 10% of its initial value (in m, rounded off to two decimal places) is
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Open questionXE-EMCQ1 markNeeds review
A refrigerator working on a reversed Carnot cycle has a Coefficient of Performance (COP) of 4. If it works as a heat pump and consumes work input of 1 kW, the heating effect will be:
Your answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
The liquid phase of a pure substance is termed as ____________, if its temperature is lower than the saturation temperature corresponding to its pressure
.Your answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
Two air streams of mass flow rates
and
enter a mixing chamber and exit after perfect mixing. The corresponding temperatures of the inlet streams are
and
, respectively. Heat loss rate from the mixing chamber to the surrounding is
. Assume that the process is steady, specific heat capacity is constant, and air behaves as an ideal gas. Identify the correct expression for the final exit temperature
after mixing. The mass specific heat capacities of the gas at constant volume and constant pressure are
and
, respectively. Neglect the bulk kinetic and potential energies of the streams.Your answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
If
is the mass specific enthalpy,
is the mass specific entropy,
is the pressure,
is the temperature,
is the mass specific heat at constant volume,
is the mass specific heat at constant pressure,
is the coefficient of thermal expansion,
is the mass specific volume,
is the isothermal compressibility, then the partial derivative
Your answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
If
is the mass specific volume,
is the mass specific entropy,
is the pressure,
is the temperature, then using Maxwell relations,
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Open questionXE-EMCQ1 markNeeds review
A closed system consists of a solution of liquid water and ethanol in equilibrium with its vapors. Using the Gibbs phase rule, the degree of freedom of the system is:
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