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Select the correct plot of Gibbs free energy (G) Vs. Temperature (T) for a single component system from the following:<br><img src="/images/question-image/metallurgical-engineering/metallurgical-thermodynamics-and-kinetics/1684343443-M2-B-17-54.PNG" title="Metallurgical Thermodynamics and Kinetics mcq question image" alt="Metallurgical Thermodynamics and Kinetics mcq question image">
A
P
B
Q
C
R
D
S
Correct Answer:
Q
If 'Δx' represents adherent oxide layer thickness and 't' is time, which of the following curves represents diffusion controlled oxidation kinetics?
A
P
B
Q
C
R
D
S
If k is the rate constant for a reaction and T is the absolute temperature in the given figure, the activation energy for the reaction is . . . . . . . . J/K mole.
A
1000
B
2000
C
4155
D
8314
Consider the figures of a metal ball and a metal ring given below.
The metal ball can just pass through the hole of a metal ring formed out of a strip. When the ball is heated it gets stuck. But when the metal is heated
A
The ball can still pass through the ring as diameter expands on heating
B
The ball gets stuck because of the diameter of the hole decrease on expansion
C
The ball will still pass through because the hole diameter does not change
D
The ball will pass through because there is no change in the ring
A piston containing an ideal gas is originally in the state X (see figure). The gas is taken through a thermal cycle X → Y → X as shown
The work done by the gas is positive, if the direction of the thermal cycle is
A
clockwise
B
counter-clockwise
C
neither clockwise nor counter-clockwise
D
clockwise from X → Y and counter-clockwise from Y → X
The dependences of the magnetic susceptibility $$\left( \chi \right)$$ of a material with temperature (T) can be represented by $$\chi \propto \frac{1}{{T - \theta }},$$ where θ is the Curie-Weiss temperature. The plot of magnetic susceptibility versus temperature is sketched in the figure, as curves P, Q and R with curve Q having θ = 0. Which one of the following statements is correct?
A
Curve R represents a paramagnet and Q a ferromagnetic field
B
Curve Q represents a ferromagnet and P an antiferromagnet
C
Curve R represents an antiferromagnet and Q a paramagnet
D
Curve R represents an antiferromagnet and Q a ferromagnet
A big rectangular plot of area 4320 m
2
is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot ?
A
160 m × 27 m
B
240 m × 18 m
C
120 m × 36 m
D
135 m × 32 m
Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.
A
Causal, LP
B
BIBO, LTI
C
BIBO, Causal, LTI
D
LP, LTI
The plot of log A vs time t, where A is activity as shown in the figure, corresponds to decay
A
from only one kind of radioactive nuclei having same half life
B
from only neutron activated nuclei
C
from a mixture of radioactive nuclei having different half lives
D
which is unphysical
What can be predicted with respect to the energy in the given figure?
A
Both vehicles have gravitational potential energy
B
Both vehicles are moving in forward direction using maximum energy
C
Both vehicles are converting mechanical energy into musculer energy
D
Both vehicles have kinetic energy
The figure shows the plot of y as a function of x
The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is
A
$$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} = 1$$
B
$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = {\text{x}}$$
C
$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = - {\text{x}}$$
D
$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \left| {\text{x}} \right|$$
