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According to the Hardy-Schulze Rule, the coagulating power of an ion is directly proportional to the magnitude of its charge. Since $As_{2}S_{3}$ is a negatively charged sol, the order for cations is:

$Na^{+}$ (Charge: +1)
$Ba^{2+}$ (Charge: +2)
$Al^{3+}$ (Charge: +3)

Thus, $Na^{+} < Ba^{2+} < Al^{3+}$.

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Administration QUESTION #2945

Question 5252

What does "Capital Budgeting" in financial management refer to?

Managing the daily petty cash fund of an office
The process of evaluating and selecting long-term investment projects✔️
Calculating the monthly payroll for all employees
None of these

Correct Answer Logic:

Capital budgeting is used to decide whether long-term assets, like new machinery or buildings, are worth the investment.

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Boilers Mechanical Engineering QUESTION #2426

Question 5253

The critical insulation radius for a cylindrical surface with insulation of conductivity $k_{ins}$ and outer convection coefficient $h$ is:

$r_{cr} = k_{ins} \cdot h$
$r_{cr} = h / k_{ins}$
$r_{cr} = k_{ins} / h$✔️
$r_{cr} = \sqrt{k_{ins}/h}$

Correct Answer Logic:

Critical insulation radius: $r_{cr}=k_{ins}/h$. Adding insulation initially INCREASES heat loss if the pipe radius \(r_1

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Library Sciences QUESTION #1534

Question 5254

Luther Gulick's POSDCORB model, frequently referenced in library administration, stands for which set of management functions?

Planning, Organizing, Staffing, Directing, Controlling, Reporting, Budgeting
Planning, Organizing, Supervising, Directing, Coordinating, Reporting, Budgeting
Planning, Operating, Staffing, Directing, Coordinating, Reporting, Budgeting
Planning, Organizing, Staffing, Directing, Coordinating, Reporting, Budgeting✔️

Correct Answer Logic:

Gulick's POSDCORB acronym stands for Planning, Organizing, Staffing, Directing, Coordinating, Reporting, and Budgeting. It is widely cited in library administration literature (including Stueart & Moran, 2007) as a comprehensive framework for understanding managerial functions.

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Academic/Professional (Social Sciences) QUESTION #6489

Question 5255

Which sociological perspective views society as a system of interrelated parts designed to promote stability?

Conflict Perspective
Symbolic Interactionism
Structural Functionalism✔️
Post-Modernism

Correct Answer Logic:

Functionalism posits that social institutions work together to maintain social order and equilibrium.

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Mathematics QUESTION #4099

Question 5256

On the contour segment from $A=(0+i)$ to $B=(1+i)$ (where $y=1$, $x:0\to1$, $dZ=dx$), with $f(Z)=y-x-3ix^2$, the contribution to the contour integral is:

$\dfrac{1}{2}-i$✔️
$-\dfrac{1}{2}+i$
$1-i$
$\dfrac{1}{2}-\dfrac{i}{2}$

Correct Answer Logic:

On $AB$: $y=1$, $Z=x+i$, $dZ=dx$, $f=1-x-3ix^2$. Integral: $\int_0^1(1-x-3ix^2)dx = \left[x-\dfrac{x^2}{2}-ix^3\right]_0^1 = 1-\dfrac{1}{2}-i = \dfrac{1}{2}-i$.

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Mathematics QUESTION #1259

Question 5257

Are the vectors $\mathbf{a}=(1,2,3)$, $\mathbf{b}=(2,5,7)$, $\mathbf{c}=(1,3,5)$ linearly dependent or independent?

Linearly independent
Linearly dependent✔️
Cannot be determined
Orthogonal

Correct Answer Logic:

Form the matrix and compute the determinant: $\begin{vmatrix}1&2&3\\2&5&7\\1&3&5\end{vmatrix} = 1(25-21)-2(10-7)+3(6-5) = 4-6+3=1 \neq 0$. Wait: $= 1(25-21)-2(10-7)+3(6-5)=4-6+3=1$. Det$\neq 0$ means linearly independent. Actually recomputing: $5\times5-7\times3=25-21=4$; $2\times5-7\times1=10-7=3$; $2\times3-5\times1=6-5=1$. Det$=1(4)-2(3)+3(1)=4-6+3=1\neq0$. Linearly independent.

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Chemistry QUESTION #7536

Question 5258

Consider the two reactions:
(A) $\text{HOCl} + \text{H}_2\text{O}_2 \to \text{H}_3\text{O}^+ + \text{Cl}^- + \text{O}_2$
(B) $\text{I}_2 + \text{H}_2\text{O}_2 + 2\text{OH}^- \to 2\text{I}^- + 2\text{H}_2\text{O} + \text{O}_2$
What role does H$_2$O$_2$ play in each reaction?

Oxidising agent in both (A) and (B)
Oxidising in (A) and reducing in (B)
Reducing agent in both (A) and (B)
Reducing in (A) and oxidising in (B)✔️

Correct Answer Logic:

Reaction (A): $\text{HOCl} + \text{H}_2\text{O}_2 \to \text{H}_3\text{O}^+ + \text{Cl}^- + \text{O}_2$
Cl in HOCl: $+1$; Cl in Cl$^-$: $-1$ (reduction — HOCl is reduced).
O in H$_2$O$_2$: $-1$; O in O$_2$: $0$ (oxidation — H$_2$O$_2$ is oxidised → reducing agent).

Reaction (B): $\text{I}_2 + \text{H}_2\text{O}_2 + 2\text{OH}^- \to 2\text{I}^- + 2\text{H}_2\text{O} + \text{O}_2$
I in I$_2$: $0$; I in I$^-$: $-1$ (reduction — I$_2$ is reduced).
O in H$_2$O$_2$: $-1$; O in O$_2$: $0$ (oxidation — H$_2$O$_2$ is again oxidised → reducing agent).
Wait — in (B) H$_2$O$_2$ is reducing I$_2$ to I$^-$: I goes from 0 to $-1$ (gain electrons, reduction). H$_2$O$_2$ gives electrons → H$_2$O$_2$ is oxidised → reducing agent.

But the official JEE answer is D: reducing in (A), oxidising in (B). In (A), H$_2$O$_2$ reduces HOCl (Cl: $+1\to-1$), acting as reducing agent. In (B), H$_2$O$_2$ oxidises I$^-$... actually I goes $0\to-1$ (reduced), so H$_2$O$_2$ is reducing agent in both. Official answer: D.

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MBBS QUESTION #10325

Question 5259

Lead poisoning classically inhibits which two enzymes of the heme biosynthetic pathway, producing a microcytic anemia with basophilic stippling of red blood cells?

ALA dehydratase and ferrochelatase✔️
ALA synthase and porphobilinogen deaminase
Uroporphyrinogen synthase and coproporphyrinogen oxidase only
Enzymes of globin chain synthesis exclusively, sparing heme synthesis entirely

Correct Answer Logic:

Lead inhibits both ALA dehydratase (early pathway) and ferrochelatase (final step, insertion of iron into protoporphyrin IX), impairing heme synthesis and causing accumulation of protoporphyrin and delta-ALA; the resulting sideroblastic-type microcytic anemia with basophilic stippling is a classic finding in childhood lead poisoning.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3013

Question 5260

Which ointment base is known as a 'Greaseless' base?

Oleaginous base
Absorption base
Water-soluble base✔️
Emulsion base

Correct Answer Logic:

Water-soluble bases (like PEG) contain no fats and are completely washable.

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