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 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionMENAT2 marksNeeds review
Consider the second-order linear ordinary differential equation
with the initial conditions
The value of
at
equals ________.(Answer in integer)
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Open questionMENAT2 marksNeeds review
The initial value problem
is solved numerically using the forward Euler’s method with a constant and positive time step of
.Let
represent the numerical solution obtained after
steps. The condition
is satisfied if and only if
does not exceed ____________.(Answer in integer)
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Open questionMENAT2 marksNeeds review
The atomic radius of a hypothetical face-centered cubic (FCC) metal is
nm. The atomic weight of the metal is 24.092 g/mol. Taking Avogadro’s number to be
atoms/mol, the density of the metal is __________ kg/m
.(Answer in integer)
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