GATE ME format:nat PYQs & Answers — Page 37

Questions 361–370 of 418. Imported answers require independent review unless marked reviewed.

Topic practice 418 questionsPage 37 of 42

The divergence of the vector

is ________.

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The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is __________.

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A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________

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The state of stress at a point is

and

. The maximum normal stress (in MPa) at that point is __________

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Water (density = 1000 kg/m

) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is ______

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For a loaded cantilever beam of uniform cross-section, the bending moment (in N·mm) along the length is

, where

is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at

is __________

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Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20 °C and exits at 50 °C. The value of the Log Mean Temperature Difference (LMTD) is ______ °C.

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A steel bar is held by two fixed supports as shown in the figure

Diagram for Mechanical Engineering question 10

and is subjected to an increase of temperature

. If the coefficient of thermal expansion and Young’s modulus of elasticity of steel are

and

, respectively, the magnitude of thermal stress (in MPa) induced in the bar is __________

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The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol·K). When the temperature increases by 100 K, the change in molar specific enthalpy is __________ J/mol.

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A machine component made of a ductile material is subjected to a variable loading with

and

. If the corrected endurance limit and the yield strength for the material are

and

, respectively, the factor of safety is __________

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GATE ME format:nat PYQs

Question 2

Question 3

Question 5

Question 7

Question 8

Question 8

Question 10

Question 10

Question 11

Question 11