GATE XE topic:engineering-sciences PYQs & Answers — Page 64

Questions 631–640 of 1772. Imported answers require independent review unless marked reviewed.

A thin steel plate is loaded in the x-y plane as shown in the figure. Take the Poisson’s ratio of steel to be 0.3 and the modulus of elasticity of steel to be 200 GPa. The strain along the z-direction is

. The value of

(in MPa) is_____(rounded off to one decimal place).

Diagram for Engineering Sciences question 84

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A composite rod made of steel and copper is fixed immovably at its ends as shown in the figure. The length of each portion of the rod is 1 m as shown. The cross-section of both portions are the same. The modulus of elasticity of steel and copper are 200 GPa and 100 GPa, respectively. The coefficients of thermal expansion of steel and copper are 12 × 10

/°C and 18 × 10

/°C, respectively. The composite rod is initially stress free. Then, the temperature of the composite rod is increased by 100 °C. The magnitude of axial stress (in MPa) developed in the steel rod is_____(rounded off to one decimal place).

Diagram for Engineering Sciences question 85

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A slender uniform elastic rod of length 1 m and of solid circular cross-section of diameter 50 mm is originally straight. It is then loaded by equal and opposite end moments as indicated in the figure. The resulting lateral displacement of the mid-point of the rod is 10 mm (displacements are exaggerated in the figure). The maximum longitudinal strain in the rod is p × 10

, where p is_____(rounded off to one decimal place).

Diagram for Engineering Sciences question 86

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Consider a solid cylindrical shaft and a hollow cylindrical shaft. Both shafts are axisymmetric and elastic, and have the same cross-sectional area. The hollow shaft has an outside diameter of 150 mm and an inside diameter of 120 mm. When both the shafts are twisted by the same twisting moment, the ratio of maximum shear stress developed in the hollow shaft (

) to maximum shear stress developed in the solid shaft (

) will be_____(rounded off to three decimal places).

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A The number of properties required to fix the state of a system is given by ‘state postulate’. R The state of a simple compressible system is completely specified by two independent, intensive properties. About the statements A and R applied to a single-phase system,

Your answerChoose one option.

A is correct and R is incorrect.

A is incorrect and R is correct.

Both A and R are incorrect.

Both A and R are correct.

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Which of the following is an extensive property of a system?

Your answerChoose one option.

Density

Pressure

Temperature

Total mass

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A tank of volume V contains homogeneous mixture of two ideal gases, A and B at a temperature T and a pressure P. The mixture contains n_A moles of gas A and n_B moles of gas B. If P_A and P_B are the partial pressures of gas A and gas B, respectively, then

Your answerChoose one option.

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If an ideal air-standard Otto cycle and an ideal air-standard Diesel cycle operate on the same compression ratio, then the relation between the thermal efficiencies (

) of the cycles is

Your answerChoose one option.

and

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The following statements are given: (i) The third law of thermodynamics deals with the entropy of a substance at the absolute zero temperature. (ii) Entropy of any non-crystalline structure is zero at absolute zero temperature. (iii) At the absolute zero temperature, the crystal structure has maximum degree of order. (iv) The thermal energy of the substance at absolute zero temperature is maximum. The correct option describing these statements is

Your answerChoose one option.

Only (i) is correct

Only (ii) is correct

Both (i) and (iii) are correct

Both (i) and (iv) are correct

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Adiabatic bulk modulus of a substance is defined as

Your answerChoose one option.

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GATE XE topic:engineering-sciences PYQs

Question 84

Question 85

Question 86

Question 87

Question 88

Question 89

Question 90

Question 91

Question 92

Question 93