1
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
In multi-pass operation, a round bar of $$10$$ $$mm$$ diameter and $$100$$ $$mm$$ length is reduced in cross-section by drawing it successively through a series of seven dies of decreasing exit diameter. During each of theses drawing operations, the reduction in cross-sectional area is $$35\% $$. The yield strength of the material is $$200$$ $$MPa.$$ Ignore strain hardening.

The total true strain applied and the final length (in $$mm$$), respectively, are

A
$$2.45$$ and $$817$$
B
$$2.45$$ and $$345$$
C
$$3.02$$ and $$2043$$
D
$$3.02$$ and $$33.$$
2
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
Observation of a slip gauge on a flatness interferometer produced fringe counts numbering $$10$$ and $$14$$ for two readings. The second reading is taken by rotating the setup by $${180^ \circ }$$ Assume that both faces of the slip gauge are flat and the wavelength of the radiation is $$0.5086$$ $$\mu m.$$ The parallelism error (in $$\mu m.$$) between the two faces of the slip gauge is
A
$$0.2543$$
B
$$1.172$$
C
$$0.5086$$
D
$$0.800$$
3
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
To measure the effective diameter of an external metric thread (included angle is $$60$$ degrees) of $$3.5$$ $$mm$$ pitch, a cylindrical standard of $$30.5$$ $$mm$$ diameter and two wires of $$2$$ $$mm$$ diameter each are used. The micrometer reading over the standard and over the wires are $$16.532$$ $$mm$$ and $$15.398$$ $$mm$$ respectively. The effective diameter (in $$mm$$) of the thread is
A
$$33.366$$
B
$$30.397$$
C
$$29.366$$
D
$$26.397$$
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