GATE XE year:2019 PYQs & Answers — Page 9

Questions 81–90 of 175. Imported answers require independent review unless marked reviewed.

A bar of length 1 m, having a uniform area of cross section 1000 mm², is fixed at one end and subjected to a uniaxial tensile load of 200 kN at the other end. Along with the tensile load, the rod also experiences a uniform temperature rise ΔT = 100 °C. The material of the rod has a Young’s modulus E = 200 GPa and coefficient of thermal expansion α = 1×10⁻⁵/°C. The elongation of the rod (in mm) is ________.

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A solid rod, with uniform circular cross section, of length 100 mm and diameter 100 mm is subjected to a uniaxial tensile load. As a result, the increase in length of the rod is observed to be 1 mm while the reduction in diameter of the rod is observed to be 0.03 mm. If the Young’s modulus of the material of the rod is 260 GPa, the shear modulus (in GPa) of the material of the rod is ________.

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A spherical pressure vessel has inner diameter of 4 m and wall thickness of 10 mm. It is made of a steel having tensile yield strength of 200 MPa. Neglecting radial stress and using the maximum shear stress theory, the maximum value of gauge pressure (in MPa) that the wall of the pressure vessel can withstand is ________ (rounded off to two decimal places).

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Two solid shafts P and Q made of same material transmit equal torque. Shaft P has a uniform circular cross section of area

and shaft Q has a uniform circular cross section of area

. If the maximum torsional shear stress developed in shaft P is 160 MPa, the maximum torsional shear stress developed (in MPa) in shaft Q is ________.

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The slotted arm AB rotates in the horizontal plane about point A at a constant angular speed ω = 10 rad/sec. The particle P is released from rest, in the frictionless slot, at a distance of 2 m from A. The magnitude of the velocity of the particle (in m/s) just before it hits end B is ________ (rounded off to two decimal places).

Diagram for Engineering Sciences question 20

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The uniform pendulum rod, having mass 10 kg and length

, is attached to a viscous damper having damping coefficient

. Use acceleration due to gravity

. The least value of

(in N-s/m) such that small motions of the pendulum rod decay with oscillations is ________.\n

Diagram for Engineering Sciences question 21

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A beam having a constant solid rectangular cross section is subjected to pure bending. The longitudinal strain at a point A on the cross section is

. If the Young’s modulus of the material of the beam is 200 GPa, the maximum tensile stress (in MPa) is ________.

Diagram for Engineering Sciences question 22

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One kg of an ideal gas (molecular weight = X) occupies a certain volume

at temperature

and pressure

. Four kg of another ideal gas (molecular weight = 2X) is added to the first gas keeping the volume

and temperature

same as before. The final pressure is

Your answerChoose one option.

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Which of the following is an intensive thermodynamic property?

Your answerChoose one option.

Enthalpy

Internal energy

Entropy

Pressure

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A thermodynamic process for a substance is represented as a constant pressure process on a

diagram, and a constant temperature process on a

diagram. Which of the following statements is TRUE?

Your answerChoose one option.

The substance is an ideal gas.

The substance is a van der Waals gas.

The substance undergoes a phase change.

Such a process is not possible.

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GATE XE year:2019 PYQs

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 1

Question 2

Question 3