GATE PI 2004
GATE PI
1
Wood flour is added to core sand to improve:
2
Match the items of List $${\rm I}$$ (Equipment) with the items of List $${\rm II}$$ (Process) and select the correct answer using the given codes

3
The metal powder used in Thermit welding of steel is:
4
The current in Amperes used in resistance spot welding of plain carbon steel sheets ($$1$$ to $$3$$ $$mm$$ thick) lies within the range:
5
A non standard thread of pitch $$3.175$$ $$mm$$ is to be cut on a lathe having lead screw of pitch $$6$$ $$mm.$$ A change gear set provided with the lathe has one gear each with the following number of teeth: $$20, 30, 40, 50, 60, 70, 80,$$ $$90, 100, 110, 120, 127.$$ The correct pairs of change gears $$\left( {a/b\,\,x\,\,c/d} \right)$$ for machining the given thread are (assuming that the transmission ratio of the rest of the kinematic train between the lathe spindle and lead screw is equal to
6
For machining the circular arc shown in the figure below on a $$NC$$ machine, the interpolation parameters $$(I.K)$$ and the incremental movements in the direction of the $$X$$ and $$Z$$ axes are programmed as


7
Given that the notations of robot joints are $$L$$-linear, $$O$$-orthogonal, $$R$$-rotational, $$T$$-twisting, and $$V$$-revolving, the anatomy of a polar configuration robot is described by the alphabetical string
8
9
Consider the following statements:
The helical flute in a twist drill provides the necessary
$$1.$$ Clearance angle for the cutting edge.
$$2.$$ Rake angle for the cutting edge.
$$3.$$ Space for the chip to come out during drilling.
$$4.$$ Guidance for the drill to enter into the work piece.
Which of the statements given above are correct?
10
A $$\phi $$ $$20$$ $$mm$$ through hole is to be drilled in a $$30$$ $$mm$$ thick plate using a double fluted, $${120^ \circ }$$ lip angle drill. The drill tip is at a distance of $$3$$ $$mm$$ from the plate surface when cutting is started and an over travel of $$2$$ $$mm$$ is recommended as a margin to ensure drilling through the full thickness of the plate. If the drill rotates at $$500$$ $$rev/min$$ and the feed per tooth is $$0.01$$ $$mm,$$ the machining time of the operation (in sec) will be
11
A job of the shape shown in the figure below is to be machined on a lathe. The tool best suited for machining of this job must have

12
The cutting portion of a drill is to be welded to its shank. The process best suited for this is
13
Two identical cylindrical jobs are turned using (a) a round nosed tool of nose radius $$2$$ $$mm$$ and (b) a sharp corner tool having principal cutting edge angle $$ = {45^ \circ }$$ and auxiliary cutting edge angle $$ = {10^ \circ }$$. If the operation is carried out at a feed of $$0.08$$ $$mm/rev,$$ the heights of micro irregularities on the machined surfaces (in $$mm$$) in the two cases will be
14
Consider the following statements with respect to the relief angle of cutting tool:
$$1.$$ This affects the direction of chip flow.
$$2.$$ This reduces excessive friction between the tool and work piece
$$3.$$ This affects tool life
$$4.$$ This allows better access of coolant to the tool-work piece interface
Which of the statements given above are correct?
15
In which of the choices given below, the cutting tool materials are placed in the ascending order of permissible cutting speed for machining of steel?
16
In deep drawing of sheet metal, spring loaded stripper clamps the work until:
17
Determine the load required to punch a $$20$$ $$mm$$ diameter hole in $$2$$ $$mm$$ thick sheet. The properties of the material of the sheet are:
Tensile strength $$-580$$ $$MPa;$$
Yield strength in tension $$-410$$ $$MPa$$
Shear strength $$-350$$ $$MPa;$$
Yield strength in shear $$-250$$ $$MPa$$
Tensile strength $$-580$$ $$MPa;$$
Yield strength in tension $$-410$$ $$MPa$$
Shear strength $$-350$$ $$MPa;$$
Yield strength in shear $$-250$$ $$MPa$$
The load in $$kN$$ is:
18
A hole of $$40$$ $$mm$$ diameter is pierced in a steel sheet of $$4$$ $$mm$$ thickness without shear on the tool. Shear strength of steel is $$400$$ $$N/m{m^2},$$ and penetration is $$25\% .$$ What is the expected percentage load reduction if a shear of $$1$$ $$mm$$ is provided on the punch?
19
A cylindrical cup of $$48.5$$ $$mm$$ diameter and $$52$$ $$mm$$ height has a corner radius of $$1.5$$ $$mm$$ Cold rolled steel sheet of thickness $$1.5$$ $$mm$$ is used to produce the cup. Assume trim allowance as $$2$$ $$mm$$ per $$25$$ $$mm$$ of cup diameter. What is the blank size in $$mm$$ ?
20
The extrusion process(es) used for the production of toothpaste tubes is / are
$$1.$$ Tube extrusion
$$2.$$ Forward extrusion
$$3.$$ Impact extrusion
21
In an interchangeable assembly, a shaft of $${20.00^{\matrix{
{ - 0.015} \cr
{ - 0.005} \cr
} }}\,\,mm$$ diameter and a hole of $${20.00^{\matrix{
{ - 0.025} \cr
{ - 0.010} \cr
} }}\,\,mm$$ diameter form a mating pair. In the worst assembly conditions, the clearance between them will be