Mechanical Engineering
GATE ME format:msq PYQs
Build your understanding with focused practice from past exam papers.
How to practice format:msq
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 23. Imported answers require independent review unless marked reviewed.
Question 44
Open questionMEMSQ2 marksNeeds review
For a fully-developed pipe flow, which of the following options is/are correct?
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Steady, compressible flow of air takes place through an adiabatic converging-diverging nozzle, as shown in the figure. For a particular value of pressure difference across the nozzle, a stationary normal shock wave forms in the diverging section of the nozzle. If
and
denote the flow conditions just upstream and downstream of the normal shock, respectively, which of the following statement(s) is/are TRUE? 
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Which of the following beam(s) is/are statically indeterminate?
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Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces P and Q for creating the joint?
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A beam is undergoing pure bending as shown in the figure. The stress (
)-strain (
) curve for the material is also given. The yield stress of the material is
. Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding? 
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In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which of the option(s) given correctly describe(s) the mould and the pattern?
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The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?
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Which of the plot(s) shown is/are valid Mohr’s circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)

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Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation?
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Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Young’s modulus and coefficient of thermal expansion of Q are twice the corresponding values of P. Assume the bars to be perfectly bonded at the interface, and their weights to be negligible.
The bars are held between rigid supports as shown in the figure and the temperature is raised by
. Assume that the stress in each bar is homogeneous and uniaxial. Denote the magnitudes of stress in P and Q by
and
, respectively.Which of the statement(s) given is/are CORRECT?

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