Metrology and Inspection · Production Engineering · GATE ME

A shaft of diameter $25^{-0.04}_{-0.07}$ mm is assembled in a hole of diameter $25^{+0.02}_{-0.00}$ mm. Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft-hole assembly.

Allowance and limit parameter (Column I)		Quantitative value (Column II)
P.	Allowance	1.	0.09 mm
Q.	Maximum clearance	2.	24.96 mm
R.	Maximum material limit for hole	3.	0.04 mm
		4.	25.0 mm

Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties of copper and aluminum are given in the table below.

$$ \begin{array}{|c|c|c|c|} \hline \text { Material } & \begin{array}{l} \text { Atomic mass } \\ \text { (amu) } \end{array} & \text { Valency } & \text { Density }\left(\mathrm{g} / \mathrm{cm}^3\right) \\ \hline \text { Copper } & 63 & 2 & 9 \\ \hline \text { Aluminum } & 27 & 3 & 2.7 \\ \hline \end{array} $$

Ignore overpotentials, and assume that current efficiency is 100% for both the
workpiece materials. Under identical conditions, if the material removal rate (MRR) of copper is 100 mg/s, the MRR of aluminum will be ________________ mg/s (round-off to two decimal places).

Cylindrical pins of diameter $${15^{ \pm 0.020}}\,\,mm$$ are being produced on a machine. Statistical quality control tests show a mean of $$14.995$$ $$mm$$ and standard deviation of $$0.004mm.$$ The process capability index $${C_p}$$ is

Match the following

Which one of the following statements is TRUE?

Holes of diameter $${25.0^{\matrix{ { + 0.040} \cr { + 0.020} \cr } }}\,\,mm$$ are assembled interchangeably with the pins of diameter $${25.0^{\matrix{ { + 0.005} \cr { + 0.008} \cr } }}\,\,mm.$$

The minimum clearance in the assembly will be

The flatness of a machine bed can be measured using

Which one of the following instruments is widely used to check and calibrate geometric features of machine tools during their assembly?

A metric thread of pitch $$2$$ $$mm$$ and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is $${60^ \circ }$$ is inspected for its pitch diameter using $$3$$- wire method. The diameter of the best size wire in $$mm$$ is

In an interchangeable assembly, shafts of size $${25.000^{\matrix{ { + 0.040} \cr { - 0.010} \cr } }}\,\,mm$$ mate with holes of size $${25.000^{\matrix{ { + 0.030} \cr { + 0.020} \cr } }}\,\,mm.$$

The maximum interference (in microns) in the assembly is

A hole is dimension $$\phi {9^{\matrix{ { + 0.015} \cr { + 0\,\,\,\,\,\,\,\,\,\,} \cr } }}\,mm.$$ The corresponding shaft is of dimension $$\phi {9^{\matrix{ { + 0.010} \cr { + 0.001} \cr } }}\,mm.$$ The resulting assembly has

Ring gage is used to measure

In order to have interference fit, it is essential that the lower limit of the shaft should be

Allowance in limits and fits refers to

The fit on a hole-shaft system is specified as $$H7$$-$$s6.$$ The type of fit is

Slip gauges are calibrated by outside micrometer

Checking the diameter of a hole using GO and NOGO gauges is an example of inspection by …………… (variables/attributes)

Appropriate instrument to check the flatness of slip gage is

In an engineering drawing one finds the designation of $$20G7F8.$$ The position of tolerance of the hole is indicated by

The hole $${40^{\matrix{ {0.020} \cr { + 0.000} \cr } }}$$ & shaft, $${40^{\matrix{ { + 0.010} \cr { - 0.010} \cr } }}$$ when assembled will result in

A coordinate measuring machine (CMM) is used to determine the distance between Surface SP and Surface SQ of an approximately cuboidal shaped part. Surface SP is declared as the datum as per the engineering drawing used for manufacturing this part. The CMM is used to measure four points P1, P2, P3, P4 on Surface SP, and four points Q1, Q2, Q3, Q4 on Surface SQ as shown. A regression procedure is used to fit the necessary planes.

The distance between the two fitted planes is ___________ mm.

(Answer in integer)

An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewing via the optical flat using a monochromatic light of wavelength 0.5 µm, 12 fringes were observed over a length of 15 mm of gauge B. If the gauges are placed 45 mm apart, the height difference of the gauges is ______________ μm.

(Answer in integer)

The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pitch line as shown in the figure. The pitch (p) and included angle of the thread are 4 mm and 60°, respectively. The diameter of the best size wire is _________ mm (round off to 2 decimal places).

Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is $$20$$ $$\mu m$$ The central line average surface roughness $${R_a}$$ (in $$\mu m$$) is

A cylindrical pin $$25_{ + 0.010}^{ + 0.020}\,\,mm$$ diameter is electroplated. Plating thickness is
$${2.0^{ \pm 0.005}}\,\,mm$$. Neglecting the gauge tolerance, the diameter (in $$mm,$$ up to $$3$$ decimal points accuracy) of the $$GO$$ ring gauge to inspect the plated pin is ___________

For the situation shown in the figure below the expression for $$H$$ in terms of $$r, R$$ and $$D$$ is

Two optically flat plates of glass are kept at a small angle $$\theta $$ as shown in the figure. Monochromatic light is incident vertically.

If the wavelength of light used to get a fringe spacing of $$1$$ $$mm$$ is $$450$$ $$nm,$$ the wavelength of light (in $$nm$$) to get a fringe spacing of $$1.5$$ $$mm$$ is ________________________.

In the assembly shown below, the part dimensions are:
$$\eqalign{ & {L_1} = {22.0^{ \pm 0.01}}\,\,mm, \cr & {L_2} = {L_3} = {10.0^{ \pm 0.005}}\,\,mm, \cr} $$
Assuming the normal distributions of part dimensions, the dimension $${L_4}$$ in $$mm$$ for assembly condition would be,

A $$GO-No$$ $$GO$$ plug gauge is to be designed for measuring a hole of nominal diameter $$25$$ $$mm$$ with a hole tolerance of $$ \pm 0.015\,\,mm.$$ Considering $$10\% $$ of work tolerance to be the gauge tolerance and no wear condition, the dimension (in $$mm$$) of the $$GO$$ plug gauge as per the unilateral tolerance system is

For the given assembly : $$25$$ $$H7/g8,$$ match Group $$A$$ with Group $$B$$

The diameter of a recessed ring was measured by using two spherical balls of diameter $${d_2} = 60mm$$ and $${d_1} = 40mm$$ as shown in the figure.

The distance $${H_2} = 35.55\,\,mm$$ and $${H_1} = 20.55\,\,mm$$. The diameter ($$D,$$ in $$mm$$) of the ring gauge is __________________.

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

A taper hole is inspected using a $$CMM,$$ with a probe of $$2mm$$ diameter. At a height, $$Z=10mm$$ from the bottom, $$5$$ points are touched and a diameter of circle (not compensated for probe size) is obtained as $$20mm.$$ similarly, a $$40mm$$ diameter is btained at a height $$Z=40mm.$$ The smaller diameter (in $$mm$$) of hole at $$Z=0$$ is

A shaft has a dimension $$\phi $$ $${35^{\matrix{ { - 0.009} \cr { - 0.025} \cr } }}$$. The respective values of fundamental deviation and tolerance are

What are the upper and lower limits of the shaft represented by $$60{f_8}$$?

Use the following data:
Diameter $$60$$ lies in the diameter step of $$50-80$$ $$mm$$
Fundamental tolerance unit, $$i,$$ in $$\mu m = 0.45\,\,{D^{1/3}} + 0.001D,$$
where $$D$$ is the representative size in $$mm;$$ Tolerance value for $${\rm I}T8 = 25i,$$ Fundamental deviation for $$'‘f’'$$ shaft $$ = - 5.5{D^{0.41}}$$

A displacement sensor (a dial indicator) measures the lateral displacement of a mandrel on the taper hole inside a drill spindle. The mandrel axis is an extension of the drill spindle taper hole axis and the protruding portion of the mandrel surface is perfectly cylindrical. Measurement are recorded as $${R_x} = $$ maximum deflection minus minimum deflection, corresponding to sensor position at $$X$$, over one rotation.

If $${R_p} = {R_Q} > 0,$$ which one of the following would be consistent with the observation?

A hole is specified as $${40^{\matrix{ {0.050} \cr {0.000} \cr } }}\,\,mm.$$ The mating shaft has a clearance fit with minimum clearance of $$0.01mm.$$ The tolerance on the shaft is $$0.04mm.$$ The maximum clearance in $$mm$$ between the hole and the shaft is

A hole of diameter $${25.00^{ + 0.01}}\,\,mm$$ is to be inspected by using GO / NO GO gages. The size of the GO plug gage should be

A part shown in the gig is machined to the sizes given below

With $$100\% $$ confidence, the resultant dimension $$W$$ will have the specification

A threaded nut of $$M16, $$ $$ISO$$ metric type having $$2$$ $$mm$$ pitch with a pitch diameter of $$14.701$$ $$mm$$ is to be checked for its pitch diameter using two or three numbers of balls or rollers of the following sizes

The dimensional limits on a shaft of $$25h7$$ are

$$3$$ blocks of $${B_1},\,\,{B_2},\,\,{B_3}$$ are to be inserted in a channel of width $$'S'$$ maintaining a minimum gap of width $$T=0.125mm,$$ as shown in fig. For $$P = 18.75 \pm 0.08,\,$$ $$\,Q = 25.00 \pm 0.12,\,$$ $$\,R = 28.125 \pm 0.1$$ and $$S=72.35+X.$$ The tolerance $$' X '$$ is _______________.

A shaft of diameter $${20^{\matrix{ { + 0.05} \cr { - 0.15} \cr } }}\,\,mm$$ and a hole of diameter $${20^{\matrix{ { + 0.20} \cr { + 0.10} \cr } }}\,\,mm$$ when assembled would yield.

Two shafts $$A$$ and $$B$$ have their diameters specified as $$100 \pm 0.1\,\,mm$$ and $$0.1 \pm 0.0001\,\,mm$$ respectively. Which of the following statements is/are true

A bush was turned after mounting the same on a mandrel. The mandrel diameter in millimeters is $${40^{\matrix{ { + 0.00} \cr { - 0.05} \cr } }}$$ and bore diameter of bush is $${40^{\matrix{ { + 0.06} \cr { - 0.00} \cr } }}$$.

The maximum eccentricity of the bush, in $$mm$$ will be