Production and Industrial Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PI 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.
Question 52
Open questionPINAT2 marksNeeds review
A linear slot is to be milled in a single pass from the point
to
on XY plane by a CNC machine. The actual velocity along the Y-axis is 5% less than the intended value. The programmed feed rate along the intended slot is 150 mm/min.The magnitude of the positional error along the Y-axis when the X-coordinate reaches 180 mm is _____ mm (in integer).
Note: All coordinates are in mm.
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Open questionPINAT2 marksNeeds review
In laser beam machining, the time (
) required for the material to attain the melting temperature from a room temperature (
) of 32 °C is expressed by the following expression,
where
is thermal diffusivity,
is melting temperature,
is thermal conductivity,
is heat flux.If a uniformly distributed 1 kW power laser beam with a beam diameter of 0.1 mm is used for machining tungsten carbide, and 10% of beam absorption is assumed, the time
is _____ μs (rounded off to one decimal place).Note: Thermal properties of tungsten carbide: melting temperature = 3400 °C; thermal conductivity = 2.15 Wcm⁻¹°C⁻¹; diffusivity = 0.79 cm²s⁻¹; assume
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 54
Open questionPINAT2 marksNeeds review
In the measurement of surface roughness using a 2D stylus profilometer, a surface profile measured over a length of 0.8 mm was recorded on a graph paper. During recording, vertical magnification of 10,000 and horizontal magnification of 100 were used. The areas in the as-recorded graph above and below the datum line are as follows:
Above (mm²): 140, 60, 150, 50
Below (mm²): 70, 50, 120, 160
The average surface roughness (
) of the surface is _____ μm (rounded off to two decimal places).Log in to check the answer
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