Mechanical Engineering
2023 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.
Question 46
Open questionMEMSQ2 marksNeeds review
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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Open questionMEMSQ2 marksNeeds review
A very large metal plate of thickness
and thermal conductivity
is cooled by a stream of air at temperature
with a heat transfer coefficient
, as shown in the figure. The centerline temperature of the plate is
.

In which of the following case(s) can the lumped parameter model be used to study the heat transfer in the metal plate?
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Open questionMENAT2 marksNeeds review
The smallest perimeter that a rectangle with area of 4 square units can have is _____ units.
(Answer in integer)
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