Mechanical Engineering
GATE ME concept:energy PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:energy
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 1–2 of 2. Imported answers require independent review unless marked reviewed.
Question 65
Open questionMENAT2 marksNeeds review
An explosion at time
releases energy
at the origin in a space filled with a gas of density
. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relation
, where k is a dimensionless constant. The value of exponent a is __________.(Rounded off to one decimal place)

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Open questionMENAT2 marksNeeds review
Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter
. We know that the velocity profile forms a parabola about the pipe centre line, given by:
m/s, where
is a constant. The rate of kinetic energy (in J/s) at the control surface A-B, as shown in the figure, is proportional to
. The value of
is ______.

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