Mechanical Engineering
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2025 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 questionMENAT2 marksNeeds review
The directional derivative of the function
given below at the point
in the direction of
is __________ (rounded off to 1 decimal place).
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Open questionMENAT2 marksNeeds review
Let
be the solution of the differential equation with the initial conditions given below. If
, then the value of
is __________ (rounded off to 2 decimal places).
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Open questionMENAT2 marksNeeds review
Consider a cylindrical furnace of 5 m diameter and 5 m length with bottom, top and curved surfaces maintained at uniform temperatures of 800 K, 1500 K and 500 K, respectively. The view factor between the bottom and top surfaces,
is 0.2. The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is __________ kW (rounded off to 1 decimal place). All surfaces of the furnace can be assumed as black. The Stefan-Boltzmann constant,
. 
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