GATE PI 2013
GATE 2013 Previous Year
3 hDuration
24Total Marks
14Questions
5Sections
Instructions
General instructions for this test:
- Duration: 3 h. The timer starts as soon as you begin and cannot be paused.
- Total questions: 14 across 5 section(s); maximum marks: 24.
- You are allowed 1 attempt(s) at this test.
- Use the question palette on the right to navigate. Answered questions are highlighted in green; questions marked for review are highlighted in yellow.
- Each question's marking scheme (correct / wrong) is shown on the question card. Unanswered questions receive zero marks.
- Switching tabs, exiting full-screen, or attempting to copy text is monitored. Repeated tab-switching may auto-submit the test.
- Your answers autosave as you navigate. Click Submit Test when you are done. The test will be auto-submitted when the timer expires.
No exam-specific instructions were provided for this paper.
Paper Structure
Machine Tools And Machining
Machine Tools And Machining
Q1.
mcq single
+2 / 0.6
In a $$CAD$$ package, mirror image of a $$2D$$ points $$P(5, 10)$$ is to be obtained about a line which passes through the origin and makes an angle of $${45^ \circ }$$ counterclockwise with the $$X$$-axis. The coordinates of the transformed points will be
Q2.
mcq single
+2 / 0.6
Following data refers to an automat and a center lathe, which are being compared to machine a batch of parts in a manufacturing shop
Automat will be economical if the batch size exceeds
Automat will be economical if the batch size exceeds
Q3.
mcq single
+2 / 0.6
In orthogonal turning of a bar of $$100$$ $$mm$$ diameter with a feed of $$0.25$$ $$min/rev,$$ depth of cut of $$4$$ $$mm$$ and cutting velocity of $$90$$ $$m/min,$$ it is observed that the main (tangential) cutting force is prependicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is $$1500$$ $$N.$$
The normal force acting at the chip-tool interface in $$N$$ is
Q4.
mcq single
+2 / 0.6
In orthogonal turning of a bar of $$100$$ $$mm$$ diameter with a feed of $$0.25$$ $$min/rev,$$ depth of cut of $$4$$ $$mm$$ and cutting velocity of $$90$$ $$m/min,$$ it is observed that the main (tangential) cutting force is prependicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is $$1500$$ $$N.$$
The orthogonal rake angle of the cutting tool in degree is
Q5.
mcq single
+2 / 0.6
Details pertaining to an orthogonal metal cutting process are given below.
Chip thickness ratio $$0.4$$
Under formed thickness $$0.6mm$$
Rake angle $$ + {10^0}$$
Cutting speed $$2.5m/s$$
Mean thickness of primary shear zone $$25microns$$
The shear strain rate in $${s^{ - 1}}$$ during the process is
Q6.
mcq single
+2 / 0.6
Two cutting tools are being compared for a machining operation. The tool life equations are:
$$\eqalign{
& \,\,\,\,\,\,\,\,\,\,\,\,Carbi{\mathop{\rm de}\nolimits} \,\,tool:\,\,\,\,\,\,\,\,\,\,\,\,V{T^{1.6}} = 3000 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,HSS\,\,tool:\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,V{T^{0.6}} = 200 \cr} $$
Where $$V$$ is the cutting speed in $$m/min$$ and $$T$$ is the tool life in $$min.$$ The carbide tool will provide higher tool life if the cutting speed in $$m/min$$ exceeds
Q7.
mcq single
+2 / 0.6
A disc of $$200$$ $$mm$$ outer and $$80$$ $$mm$$ inner diameter is faced at a feed of $$0.1$$ $$mm/rev$$ with a depth of cut of $$1$$ $$mm.$$ The facing operation is undertaken at a constant cutting speed of $$90$$ $$m/min$$ in a $$CNC$$ lathe. The main (tangential) cutting force is $$200$$ $$N$$
Assuming approach and over-travel of the cutting tool to be zero, the machining time in $$min$$ is
Q8.
mcq single
+1 / 0.3
A steel bar $$200$$ $$mm$$ in diameter is turned at a feed of $$0.25$$ $$mm/rev$$ with a depth of cut of $$4$$ $$mm.$$ The rotational speed of the work piece is $$160$$ $$rpm.$$ The material removal rate in $$m{m^3}/s$$ is
Q9.
mcq single
+2 / 0.6
A disc of $$200$$ $$mm$$ outer and $$80$$ $$mm$$ inner diameter is faced at a feed of $$0.1$$ $$mm/rev$$ with a depth of cut of $$1$$ $$mm.$$ The facing operation is undertaken at a constant cutting speed of $$90$$ $$m/min$$ in a $$CNC$$ lathe. The main (tangential) cutting force is $$200$$ $$N$$
Neglecting the contribution of the feed force towards cutting power, the specific cutting energy in $$J/m{m^3}$$ is
Metrology
Metrology
Q1.
mcq single
+2 / 0.6
Cylindrical pins of $${25^{\matrix{
{ + 0.020} \cr
{ + 0.010} \cr
} }}\,\,mm$$ diameter are electroplated in a shop. Thickness of the plating is $$30 \pm 0.2$$ micron. Neglecting gage tolerances, the size of the $$GO$$ gage in $$mm$$ to inspect the plated components is
Metal Forming
Metal Forming
Q1.
mcq single
+1 / 0.3
In a rolling process, the state of stress of the material undergoing deformation is
Q2.
mcq single
+1 / 0.3
Circular blanks of $$10mm$$ diameter are punched from an aluminium sheet of $$2$$ $$mm$$ thickness. The shear strength of aluminium is $$80$$ $$MPa.$$ The minimum punching force required in $$kN$$ is
Heat Transfer
Heat Transfer
Q1.
mcq single
+2 / 0.6
Water $$\left( {{C_p} = 4.18\,kJ/kg.K} \right)$$ at $${80^ \circ }C$$ enters a counter flow heat exchanger with a mass flow rate of $$0.5kg/s.$$ Air $$\left( {{C_p} = 1\,kJ/kg.\,K} \right)$$ enters at $${80^ \circ }C$$ with a mass flow rate $$2.09$$ $$kg/s.$$ If the effectiveness of the heat exchanger is $$0.8,$$ the $$LMTD$$ (in $$^ \circ C$$) is
Casting
Casting
Q1.
mcq single
+1 / 0.3
A cube shaped casting solidifies in $$5$$ min. The solidification time in min for a cube of the same material, which is $$8$$ times heavier than the original casting, will be