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Mechanical Engineering QUESTION #2483

The velocity of a node B of a driver link in rotational motion (angular velocity $\omega = \dot{\phi}$, link length $L_{AB}$) is given by:

$v_{Bx} = -L_{AB}\dot{\phi}\sin\phi,\quad v_{By} = L_{AB}\dot{\phi}\cos\phi$✔️
$v_{Bx} = L_{AB}\dot{\phi}\cos\phi,\quad v_{By} = L_{AB}\dot{\phi}\sin\phi$
$v_{Bx} = L_{AB}\dot{\phi}^2\cos\phi,\quad v_{By} = -L_{AB}\dot{\phi}^2\sin\phi$
$v_{Bx} = -L_{AB}\ddot{\phi}\cos\phi,\quad v_{By} = L_{AB}\ddot{\phi}\sin\phi$

Correct Answer Logic:

Differentiating position equations $x_B=x_A+L_{AB}\cos\phi$ and $y_B=y_A+L_{AB}\sin\phi$ with respect to time: $v_{Bx}=-L_{AB}\dot{\phi}\sin\phi$ and $v_{By}=L_{AB}\dot{\phi}\cos\phi$.

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Biology QUESTION #530

Question 2482

The total inside capacity of lungs of adult human beings when fully inflated is

5 ml✔️
50 ml
500 ml
5000 ml

Correct Answer Logic:

Total lung capacity is about 5-6 liters (5000 ml)

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Mechanical Engineering QUESTION #2446

Question 2483

In free vibrations with Coulomb (dry) damping, the amplitude of successive oscillation cycles decreases by a constant amount per half-cycle of:

$\Delta x = \mu m g / k = x_s$ per HALF-cycle (linear decay)✔️
$\Delta x = e^{-\zeta\omega_n T}$ (exponential decay)
The amplitude increases due to friction
The amplitude decreases only when velocity is negative

Correct Answer Logic:

With Coulomb damping, the amplitude decreases LINEARLY by $4x_s=4\mu mg/k$ per full cycle. This contrasts with viscous damping where the decay is exponential.

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English QUESTION #823

Question 2484

Pick the correct sentence about catching a first glimpse:

A day later he reached his first glimpse of Lahore.
A day later he took his first glimpse of Lahore.
A day later he found his first glimpse of Lahore.
A day later he caught his first glimpse of Lahore.✔️

Correct Answer Logic:

The correct collocation is 'catch a glimpse'. You catch a glimpse of something — not reach, take, or find it.

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Math (Module-1) QUESTION #5458

Question 2485

What percentage of $300$ is $75$?

$25\%$✔️
$50\%$
$75\%$
$225\%$

Correct Answer Logic:

$\frac{75}{300} \times 100\% = 25\%$

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English QUESTION #691

Question 2486

"Transcendentalism" emphasizes the importance of:

Tradition
Reason over intuition
Individual intuition✔️
None of these

Correct Answer Logic:

Figures like Emerson believed that individuals have divine intuition and should rely on themselves rather than social institutions.

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Security Measures to Maintain Law and Order QUESTION #946

Question 2487

What is the role of 'K9 Units' (Security Dogs) in airport order?

To entertain children
Detecting explosives or narcotics✔️
Guiding blind passengers
Patrolling the parking lot only

Correct Answer Logic:

Specially trained dogs are highly effective at detecting substances that electronic sensors might miss.

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Mechanical Engineering QUESTION #2402

Question 2488

The Reynolds number $Re$ is the ratio of inertial forces to viscous forces, defined for pipe flow as:

$Re = \mu V D / \rho$
$Re = \rho V D / \mu = V D / \nu$✔️
$Re = \rho V^2 / \mu$
$Re = \rho g D / \mu V$

Correct Answer Logic:

Reynolds number: $Re=\rho VD/\mu=VD/\nu$. For pipe flow: laminar if $Re<2300$, transitional $23004000$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3008

Question 2489

The 'Stokes' Law' is used to determine the:

Rate of dissolution
Rate of sedimentation in a suspension✔️
Weight of a tablet
Volume of an injection

Correct Answer Logic:

Stokes' Law calculates the sedimentation velocity of particles in a fluid.

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City and Regional Planning QUESTION #4938

Question 2490

Which land use typically generates the most trip attractions during peak hours?

Residential areas
Commercial centers✔️
Industrial zones
Parks and recreation

Correct Answer Logic:

Commercial centers (especially retail and office) generate the most trip attractions during peak hours as people travel to work, shop, and conduct business, creating concentrated demand.

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Mechanical Engineering QUESTION #2529

Question 2491

For a rigid body rotating about a FIXED axis, the relationship between the velocity of a point P at position vector $\mathbf{r}$ from the axis is:

$\mathbf{v}_P = \boldsymbol{\omega}\cdot\mathbf{r}$
$\mathbf{v}_P = \boldsymbol{\omega}\times\mathbf{r}$✔️
$\mathbf{v}_P = \boldsymbol{\alpha}\times\mathbf{r}$
$\mathbf{v}_P = \omega^2\mathbf{r}$

Correct Answer Logic:

For rotation about a fixed axis, velocity of any point is $\mathbf{v}=\boldsymbol{\omega}\times\mathbf{r}$, with magnitude $v=\omega r$.

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Pakistan Affairs QUESTION #157

Question 2492

What did Jinnah's Fourteen Points state regarding the future constitution of India?

The constitution should be unitary
The constitution should be federal, with residuary powers in provinces✔️
It should grant complete independence to provinces
It should establish a centralized government

Correct Answer Logic:

Jinnah insisted on a federal system to protect Muslim-majority provincial interests.

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Basic Mathematics QUESTION #4501

Question 2493

If $x > 5$ and $y = 10$, which is true?

$x + y > 15$✔️
$x + y = 15$
$x + y < 15$
Cannot be determined

Correct Answer Logic:

Since $x > 5$, adding $10$ to both sides: $x + 10 > 15$, thus $x + y > 15$

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Physics QUESTION #4393

Question 2494

If a plastic sheet of relative permittivity $\varepsilon_r = 2.5$ is inserted between two point charges placed in vacuum, then the electrostatic force between them:

Increases by a factor of 2.5
Decreases by a factor of 2.5✔️
Increases by a factor of 5
Decreases by a factor of 5

Correct Answer Logic:

Coulomb's law in a medium: $F = \dfrac{kq_1q_2}{\varepsilon_r r^2}$. Inserting a dielectric with $\varepsilon_r = 2.5$ reduces the force by the factor $\varepsilon_r$. So the force decreases by a factor of $2.5$.

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Mechanical Engineering QUESTION #2406

Question 2495

For geometric similitude between model and prototype, if the linear scale ratio is $L_r = L_m/L_p$, the area ratio is:

$A_r = L_r$
$A_r = L_r^3$
$A_r = L_r^2$✔️
$A_r = L_r^{1/2}$

Correct Answer Logic:

For geometric similitude: all corresponding lengths scale by $L_r=L_m/L_p$. Areas scale as $A_r=L_r^2$, volumes scale as $V_r=L_r^3$.

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Mechanical Engineering QUESTION #2420

Question 2496

The thermal resistance for conduction through a plane wall of thickness $L$, area $A$, and thermal conductivity $k$ is:

$R_{th,cond} = kA/L$
$R_{th,cond} = L/(kA)$✔️
$R_{th,cond} = L \cdot k \cdot A$
$R_{th,cond} = 1/(hA)$

Correct Answer Logic:

By analogy with Ohm's law: $q=\Delta T/R_{th}$. For conduction: $R_{th,cond}=L/(kA)$ (K/W).

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Reading and Writing (Module-1) QUESTION #5447

Question 2497

Ming Tang's 2019 study explains Earth's arcs, ridges that form when an oceanic plate subducts under a continental plate, melts, rises, and bursts through the ____

continents geological
continents: geological✔️
continents: geological
continents. Geological

Correct Answer Logic:

A colon introduces an appositive or clarification; here it separates "continental crust" from "geological structures" though the original text has no punctuation. Given options, colon is least incorrect.

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Chemistry QUESTION #1106

Question 2498

Which one of the following compounds can exist as cis-trans isomers?

1,1-Dimethylcyclopropane
1,2-Dimethylcyclohexane✔️
Pent-1-ene
2-Methylhex-2-ene

Correct Answer Logic:

For cis-trans isomerism in cyclic compounds, each carbon of the ring must bear two DIFFERENT substituents. 1,1-Dimethylcyclopropane: one carbon has two identical methyls → no cis-trans. 1,2-Dimethylcyclohexane: each of C1 and C2 has one methyl and one H → different groups on each → cis-trans isomers exist ✓. Pent-1-ene (CH$_2$=CHCH$_2$CH$_2$CH$_3$): terminal alkene, one end has two H → no isomerism. 2-Methylhex-2-ene: one end has two methyls → no cis-trans.

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