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P-waves (Primary/compressional waves) travel fastest through Earth materials. In crustal rocks, typical P-wave velocities ($V_P$) range from 5–7 km/s, while S-wave velocities ($V_S$) are approximately $V_S \approx V_P / \sqrt{3} \approx 0.58 \cdot V_P$. The relationship is: $V_P = \sqrt{\dfrac{K + \frac{4}{3}G}{\rho}}$ and $V_S = \sqrt{\dfrac{G}{\rho}}$, where $K$ is bulk modulus, $G$ is shear modulus, and $\rho$ is density. L-waves are surface waves (slower than body waves).

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Civil Engineering QUESTION #6635

Question 6

For a circular column with spiral reinforcement, the strength reduction factor ($\phi$) is usually higher than for a tied column. Why?

Spirals provide better confinement and ductility✔️
Spirals use higher grade steel
Circular columns are easier to cast
Tied columns cannot support eccentric loads

Correct Answer Logic:

Spiral reinforcement provides continuous confinement to the core, allowing the column to undergo larger deformations before failure compared to tied columns.

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Civil Procedure QUESTION #3734

Question 7

A defendant is acquitted of murder in state court. Can the federal government later charge the defendant with 'violating the victim's civil rights' based on the same killing without violating Double Jeopardy?

No, Double Jeopardy prevents being tried twice for the same act.
Yes, under the 'Dual Sovereignty' doctrine.✔️
No, unless new evidence is discovered.
Yes, but only if the first trial was a bench trial.

Correct Answer Logic:

The 'Dual Sovereignty' doctrine allows different sovereign entities (State and Federal) to prosecute a person for the same conduct if it violates the laws of both sovereigns.

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Nursing QUESTION #9149

Question 8

In Pakistan, the Lady Health Worker (LHW) Programme was launched in which year?

1990
1994✔️
1998
2001

Correct Answer Logic:

The Lady Health Worker (LHW) Programme was officially launched in 1994 in Pakistan. It was established under the National Programme for Family Planning and Primary Health Care. LHWs serve as the backbone of community health in Pakistan, each covering a population of approximately 1,000 persons (around 150–200 households). As a Charge/Head Nurse, understanding the origin and scope of this programme is critical for effective community nursing management.

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Islamic Studies QUESTION #355

Question 9

The Ottoman Empire lasted for over:

5 Centuries
6 Centuries✔️
7 Centuries
None of these

Correct Answer Logic:

The empire existed from 1299 to 1922, spanning over six centuries.+1

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Mathematics QUESTION #1264

Question 10

The Mean Value Theorem states that if $f$ is continuous on $[a,b]$ and differentiable on $(a,b)$, then there exists $c\in(a,b)$ such that:

f(c) = \dfrac{f(a)+f(b)}{2}
f'(c) = \dfrac{f(b)-f(a)}{b-a}✔️
f'(c) = f(b)-f(a)
f(c) = f(b)-f(a)

Correct Answer Logic:

The Mean Value Theorem (Lagrange) guarantees existence of $c\in(a,b)$ such that $f'(c)=\dfrac{f(b)-f(a)}{b-a}$. This means the instantaneous rate of change equals the average rate of change over $[a,b]$.

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Physics QUESTION #4397

Question 11

An angular displacement of $90°$ is equal to:

One-fourth revolution✔️
One-third revolution
One-half revolution
One complete revolution

Correct Answer Logic:

One complete revolution $= 360°$. Therefore $90° = \dfrac{90}{360} = \dfrac{1}{4}$ of a revolution. Angular displacement of $90°$ equals one-fourth revolution.

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English QUESTION #8433

Question 12

Identify the correctly spelled word:

Player✔️
Trailer
Waiter
Painter

Correct Answer Logic:

All correct. Key says A 'Player'.

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Chemistry QUESTION #5551

Question 13

What is the total number of lone pairs of electrons in the $I_3^-$ ion?

9✔️
12
3
6

Correct Answer Logic:

In $I_3^-$: Central iodine has 3 lone pairs, each terminal iodine has 3 lone pairs each. Total lone pairs = 3 (central I) + 3 (terminal I) + 3 (terminal I) = 9 lone pairs. The structure is linear with the central I having 2 bond pairs and 3 lone pairs ($sp^3d$ hybridization).

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Chemistry QUESTION #7365

Question 14

In Bohr's model, the expression $\dfrac{nh}{2\pi}$ represents:

Momentum
Kinetic energy
Potential energy
Angular momentum✔️

Correct Answer Logic:

Bohr's second postulate: Electrons revolve only in those orbits where angular momentum is an integral multiple of $\dfrac{h}{2\pi}$:

$L = mvr = \dfrac{nh}{2\pi}$

Here $L$ is the angular momentum. This quantisation condition was the foundation of Bohr's model, later justified by de Broglie's wave theory (standing wave condition for electrons in orbit).

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Security Measures to Maintain Law and Order QUESTION #876

Question 15

Which ASF section justifies the requisition of private vehicles for emergency transport during a crisis?

Section 4
Section 8
Section 9✔️
Section 13

Correct Answer Logic:

Section 9 (Delegation of Powers) allows the government to grant necessary emergency authorities to the DG and his officers.

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Math Physics Chemistry Biology QUESTION #4178

Question 16

Polysaccharides such as starch and glycogen are mainly used for:

Structural framework only
Short-term and long-term energy storage✔️
Enzyme catalysis
Ready source of energy

Correct Answer Logic:

Starch and glycogen serve as energy storage molecules (polysaccharides).

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Math Physics Chemistry Biology QUESTION #7744

Question 17

What is the primary outcome of crossing over during prophase I of meiosis?

DNA duplication without exchange
Homologous chromosomes exchange segments producing recombinant chromatids✔️
Identical parts exchanged no variation
Non-homologous exchange

Correct Answer Logic:

Crossing over exchanges genetic material between non-sister chromatids of homologous chromosomes, producing new allele combinations (recombination) and increasing genetic variation.

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Boilers Mechanical Engineering QUESTION #2514

Question 18

For a beam under pure bending, the assumption that plane sections remain plane (Euler-Bernoulli hypothesis) implies that:

Shear strain across the section is constant
Normal strain varies linearly with distance from the neutral axis✔️
Shear stress is zero everywhere
Normal stress is uniform across the cross-section

Correct Answer Logic:

The Euler-Bernoulli hypothesis leads directly to a linear strain distribution: $\varepsilon = -y/\rho$, where $y$ is distance from the neutral axis and $\rho$ is the radius of curvature. This produces the linear bending stress distribution $\sigma = -My/I$.

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HR and Management QUESTION #6471

Question 19

The 'road map' of the HRM course covering 42 modules suggests:

Random collection of HR topics
Systematic, comprehensive coverage from foundations to advanced topics✔️
Focus only on practical skills
Emphasis on legal compliance

Correct Answer Logic:

The 42-module road map progresses systematically from introductory concepts (management basics, organization components) through core functions (planning, recruitment, selection, training, performance, compensation) to advanced topics (international HRM, leadership, conclusion) - providing comprehensive coverage.

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Academic/Professional (Social Sciences) QUESTION #6510

Question 20

Which of the following is an 'Achieved Status'?

Gender
Age
Doctor✔️
Race

Correct Answer Logic:

Achieved status is a social position a person takes on voluntarily that reflects personal ability and effort.

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