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Pyroxenes are class of silicate minerals, which exhibit a polymeric chain structure, as shown below<br><img src="/images/question-image/engineering-chemistry/s-block-and-p-block-elements/1689830148-pyroxenes-are-class-of-silicate-minerals-which.png" title="S-Block and P-Block Elements mcq question image" alt="S-Block and P-Block Elements mcq question image"><br>Its simplest repeating unit is
A
<sup>4-</sup>
B
<sup>2-</sup>
C
<sup>6-</sup>
D
<sup>6-</sup>
Correct Answer:
<sup>2-</sup>
Two dielectric materials A and B exhibit both ionic and orientational polarizabilities. The variation of their susceptibilities $$\chi \left( { = {\varepsilon _r} - 1} \right)$$ with temperature T is shown in the figure, where $${\varepsilon _r}$$ is the relative dielectric constant. It can be inferred from the figure that
A
A is more polar and it has a smaller value of ionic polarizability than that of B
B
A is more polar and it has a higher value of ionic polarizability than that of B
C
B is more polar and it has a higher value of ionic polarizability than that of A
D
B is more polar and it has a smaller value of ionic polarizability than that of A
The band structure in an n-type semiconductor is
A
I
B
II
C
III
D
IV
The function x(t) is shown in the figure. Even and odd parts of a unit-step function u(t) are respectively,
A
$$\frac{1}{2},\frac{1}{2}x\left( t \right)$$
B
$$ - \frac{1}{2},\frac{1}{2}x\left( t \right)$$
C
$$\frac{1}{2}, - \frac{1}{2}x\left( t \right)$$
D
$$ - \frac{1}{2}, - \frac{1}{2}x\left( t \right)$$
A rod of length L with uniform charge density $$\lambda $$ per unit length is in the XY-plane and rotating about Z-axis passing through one of its edge with an angularvelocity $$\overrightarrow \omega $$ as shown in the figure below. $$\left( {{\bf{\hat r}},\,\hat \phi ,\,{\bf{\hat z}}} \right)$$ refer to the unit vectors at Q, $$\overrightarrow {\bf{A}} $$ is the vector potential at a distance d from the origin O along Z-axis for d ≪ L and $$\overrightarrow {\bf{J}} $$ is the current density due to the motion of the rod. Which one of the following statements is correct?
A
$$\overrightarrow {\bf{J}} {\text{ along }}{\bf{\hat r}};\overrightarrow {\bf{A}} {\text{ along }}{\bf{\hat z}};\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{d}$$
B
$$\overrightarrow {\bf{J}} {\text{ along }}\hat \phi ;\overrightarrow {\bf{A}} {\text{ along }}\hat \phi ;\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{{{d^2}}}$$
C
$$\overrightarrow {\bf{J}} {\text{ along }}{\bf{\hat r}};\overrightarrow {\bf{A}} {\text{ along }}{\bf{\hat z}};\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{{{d^2}}}$$
D
$$\overrightarrow {\bf{J}} {\text{ along }}\hat \phi ;\overrightarrow {\bf{A}} {\text{ along }}\hat \phi ;\left| {\overrightarrow {\bf{A}} } \right| \propto \frac{1}{d}$$
The phase difference of the waves 1 and 2 at A in the given figure is:
A
$$\frac{\pi }{4}$$
B
$$\frac{\pi }{2}$$
C
$$\pi $$
D
$$\frac{{3\pi }}{2}$$
In the given figure the phase of
A
Crest A is $$\frac{\pi }{2}$$
B
B crossing is $$\pi $$
C
Trough C is $$\frac{{3\pi }}{2}$$
D
All of these
A page from a chain book is shown in fig. The width of river AB is equal to
A
9m
B
3m
C
1m
D
Incomplete
Four positions of a dice are shown below. What number must be at the bottom face when the dice is in the position as shown in fig. 3?
A
1
B
2
C
4
D
6
A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
A
$$\frac{{{\text{b}}{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$
B
$$\frac{{{{\text{d}}^2}}}{{12\overline {\text{x}} }} + \overline {\text{x}} $$
C
$$\frac{{{{\text{b}}^2}}}{{12}} + \overline {\text{x}} $$
D
$$\frac{{{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$
The graph of a function f(x) is shown in the figure.
For f(x) to be valid probability density function, the value of h is
A
$$\frac{1}{3}$$
B
$$\frac{2}{3}$$
C
1
D
3
