1
GATE PI 2005
+2
-0.6
The true stress-true strain curve is given by $$\sigma = 1400\,{\varepsilon ^{0.33}},$$ where the stress $$\sigma$$ is in $$MPa.$$ The true stress at maximum load (in $$MPa$$) is
A
$$971$$
B
$$750$$
C
$$698$$
D
$$350$$
2
GATE PI 2005
+2
-0.6
Assertion (A) : Cold working of metals result in increase of strength and hardness.
Reason (R) : Cold working reduces the total number of dislocations per unit volume of the material.
A
Both $$A$$ and $$R$$ are individually true and $$R$$ is the correct explanation of $$A$$
B
Both $$A$$ and $$R$$ are individually true but $$R$$ is not the correct explanation of $$A$$
C
$$A$$ is true but $$R$$ is false
D
$$A$$ is false but $$R$$ is true
3
GATE PI 2005
+2
-0.6
Consider the following statements:
In comparison to hot working, in cold working,
$$1.$$ Higher forces are required
$$2.$$ No heating is required
$$3.$$ Less ductility is required
$$4.$$ Better surface finish is obtained.

Which of the statements given above are correct?

A
$$1,$$ $$2$$ and $$3$$
B
$$1,$$ $$2$$ and $$4$$
C
$$1$$ and $$3$$
D
$$2,$$ $$3$$ and $$4$$
4
GATE PI 2005
+2
-0.6
A $$\phi \,\,25$$ $$mm$$ hole is pierced in a $$t=2.5mm$$ thick steel sheet having shear strength $$\tau = 350\,\,MPa.$$ If the diametral clearance is given by the expression $$C=0.0064$$ $$t$$ $$\sqrt \tau ,$$ the die diameter (in $$mm$$), punch diameter (in $$mm$$) and punch force in $$(kN)$$ respectively are
A
$$25.0, 25.3, 171.8$$
B
$$25.0, 24.7, 68.75$$
C
$$24.7, 25.0, 171.8$$
D
$$25.3, 25.0, 68.75$$
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