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Physics QUESTION #6994

Four equal point charges $Q$ are placed in the $xy$-plane at positions $(0,2)$, $(4,2)$, $(4,-2)$ and $(0,-2)$ (in metres). What is the work done in bringing a fifth charge $Q$ from infinity to the origin?

$\dfrac{Q^2}{4\pi\varepsilon_0}\left(1 + \dfrac{1}{\sqrt{3}}\right)$
$\dfrac{Q^2}{4\pi\varepsilon_0}\left(1 + \dfrac{1}{\sqrt{5}}\right)$✔️
$\dfrac{Q^2}{2\sqrt{2}\,\pi\varepsilon_0}$
$\dfrac{Q^2}{4\pi\varepsilon_0}$

Correct Answer Logic:

Work done = $Q \times V_{origin}$, where $V_{origin}$ is the potential at origin due to the four charges.

Distances from origin:

$(0,2)$: $r_1 = 2$
$(0,-2)$: $r_2 = 2$
$(4,2)$: $r_3 = \sqrt{16+4} = \sqrt{20} = 2\sqrt{5}$
$(4,-2)$: $r_4 = \sqrt{20} = 2\sqrt{5}$

$V = \frac{Q}{4\pi\varepsilon_0}\left(\frac{1}{2}+\frac{1}{2}+\frac{1}{2\sqrt{5}}+\frac{1}{2\sqrt{5}}\right) = \frac{Q}{4\pi\varepsilon_0}\left(1 + \frac{1}{\sqrt{5}}\right)$

Work $= QV = \dfrac{Q^2}{4\pi\varepsilon_0}\left(1+\dfrac{1}{\sqrt{5}}\right)$

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Education QUESTION #11689

Question 2

Children who consistently remain outside the social circle of their class and are not included in peer groups are best described as:

Sociable type
Friendly type
Welcoming type
None of these✔️

Correct Answer Logic:

Children who are consistently excluded from or remain outside peer social circles are referred to as isolates or rejected/neglected children in sociometric terminology. Since none of the options A, B, or C (sociable, friendly, welcoming) describe this condition — in fact they describe the opposite — the correct answer is D — None of these.

Correct Answer: D — None of these (they are called isolated or socially rejected children).

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Mathematics QUESTION #4141

Question 3

For a particle moving on the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ with uniform speed $V$, what is the tangential component of acceleration $a_t$?

$\frac{V^2}{a}$
$0$✔️
$\frac{V^2}{b}$
$\frac{dV}{dt}$

Correct Answer Logic:

For uniform speed, $\frac{dV}{dt} = 0$. Since tangential acceleration $a_t = \frac{dV}{dt}$, we have $a_t = 0$.

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CISA QUESTION #6853

Question 4

An organization's business continuity plan designates a hot site for disaster recovery but has no documented procedures for activating the site or transitioning operations. What is the MOST critical gap?

Incomplete documentation
Having recovery infrastructure without activation procedures creates uncertainty during actual disasters✔️
Cost inefficiency
Lack of testing

Correct Answer Logic:

A hot site provides technical infrastructure but is useless without clear activation procedures and transition plans. During actual disasters, stress and confusion are high—detailed procedures are critical for successful activation. Without documented processes, the organization risks confusion, delays, and potential failure to successfully activate the expensive hot site.

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Accounting & Finance QUESTION #6204

Question 5

In a 'Common-Size Balance Sheet', all accounts are expressed as a percentage of:

Total Sales
Net Income
Total Assets✔️
Total Liabilities

Correct Answer Logic:

Common-size balance sheets use Total Assets as the base ($100\%$) [cite: 31].

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Chemistry QUESTION #7817

Question 6

The splitting of spectral lines in a magnetic field is called:

Aufbau principle
Pauli exclusion principle
Stark effect
Zeeman effect✔️

Correct Answer Logic:

Zeeman effect: splitting of spectral lines into multiple components in a magnetic field. Stark effect: splitting in electric field.

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MCQs Section QUESTION #5184

Question 7

سوانح عمری لکھنے میں حالی کے علاوہ دوسرا اہم نام کس کا ہے؟

شبلی نعمانی✔️
احمد ندیم قاسمی
سر سید احمد خان
ان میں سے کوئی نہیں

Correct Answer Logic:

اردو سوانح نگاری میں حالی کے بعد مولانا شبلی نعمانی کا نام بہت اہم ہے۔

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Physics QUESTION #7066

Question 8

A cube of maximum possible volume is cut from a solid sphere of mass $M$ and radius $R$. Find the moment of inertia of this cube about an axis that passes through its center and is perpendicular to one of its faces.

$\frac{MR^2}{32\sqrt{2}\pi}$
$\frac{MR^2}{16\sqrt{2}\pi}$
$\frac{4 MR^2}{9\sqrt{3}\pi}$✔️
$\frac{4 MR^2}{3\sqrt{3}\pi}$

Correct Answer Logic:

1. Find Cube Side ($a$): The body diagonal of the cube equals the diameter of the sphere. $\sqrt{3}a = 2R \implies a = \frac{2R}{\sqrt{3}}$.

2. Find Cube Mass ($m$): Density $\rho = \frac{M}{\frac{4}{3}\pi R^3}$. Mass of cube $m = \rho \times a^3 = \left(\frac{3M}{4\pi R^3}\right) \times \left(\frac{8R^3}{3\sqrt{3}}\right) = \frac{2M}{\pi \sqrt{3}}$.

3. Moment of Inertia ($I$): For a cube about the center-face axis, $I = \frac{ma^2}{6}$.
$I = \frac{1}{6} \left( \frac{2M}{\pi \sqrt{3}} \right) \left( \frac{4R^2}{3} \right) = \frac{8MR^2}{18\pi \sqrt{3}} = \frac{4MR^2}{9\sqrt{3}\pi}$.

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Psychology QUESTION #9899

Question 9

Child-rearing practices in Pakistan:

Differ little from those in other countries
Differ from one social class to another✔️
Have changed very little over past 50 years
Are now pretty much the same from one social class to the next

Correct Answer Logic:

Research indicates Pakistani child-rearing practices vary substantially across socioeconomic classes — reflecting differences in education, resources, urban vs. rural settings, and exposure to external cultural influences.

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Mathematics QUESTION #1261

Question 10

The transformation $T:\mathbb{R}^3\to\mathbb{R}^2$ defined by $T(x,y,z)=(|x|,\,y+z)$ is:

Linear
Not linear because it is not onto
Not linear because $T(-x,y,z)\neq -T(x,y,z)$✔️
Linear only for $x\geq0$

Correct Answer Logic:

A linear transformation requires $T(c\mathbf{v})=cT(\mathbf{v})$. Check: $T(-1,0,0)=(|-1|,0)=(1,0)$ but $-T(1,0,0)=-(1,0)=(-1,0)$. Since $T(-\mathbf{v})\neq -T(\mathbf{v})$, $T$ is NOT linear. The $|x|$ component violates homogeneity.

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Nursing QUESTION #9245

Question 11

A 60 kg female patient is in ICU on mechanical ventilation. Her static compliance is calculated as: plateau pressure $= 28 \text{ cmH}_2\text{O}$, PEEP $= 8 \text{ cmH}_2\text{O}$, tidal volume $= 360 \text{ mL}$. What is the static compliance and is it normal?

$C_{\text{stat}} = 18 \text{ mL/cmH}_2\text{O}$ — severely reduced, consistent with ARDS✔️
$C_{\text{stat}} = 45 \text{ mL/cmH}_2\text{O}$ — normal compliance
$C_{\text{stat}} = 25 \text{ mL/cmH}_2\text{O}$ — reduced but borderline
$C_{\text{stat}} = 36 \text{ mL/cmH}_2\text{O}$ — mildly reduced

Correct Answer Logic:

Correct Answer: A — $C_{\text{stat}} = 18 \text{ mL/cmH}_2\text{O}$, severely reduced

Formula for Static (Lung) Compliance:
\[C_{\text{stat}} = \frac{V_T}{P_{\text{plateau}} - \text{PEEP}}\]
\[C_{\text{stat}} = \frac{360}{28 - 8} = \frac{360}{20} = 18 \text{ mL/cmH}_2\text{O}\]

Normal static compliance: $50 - 100 \text{ mL/cmH}_2\text{O}$

Interpretation:

$> 50$: Normal
$30 - 50$: Mildly reduced
$< 30$: Severely reduced — consistent with ARDS, pulmonary fibrosis, pulmonary edema

Compliance of $18 \text{ mL/cmH}_2\text{O}$ indicates severely stiff lungs. The nurse should document this, inform the intensivist, and ensure lung-protective ventilation parameters are maintained.

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Physics QUESTION #983

Question 12

A small rigid spherical ball of mass $M$ is dropped in a long vertical tube containing glycerine. The velocity becomes constant after some time. If the density of glycerine is half the density of the ball, then the viscous force acting on the ball is:

2Mg
Mg
$\dfrac{3}{2}Mg$
$\dfrac{Mg}{2}$✔️

Correct Answer Logic:

At terminal velocity: Viscous force $= W - F_b$. Buoyancy $F_b = \rho_{glycerine} \cdot V \cdot g = \frac{1}{2}\rho_{ball} \cdot V \cdot g = \frac{Mg}{2}$. So Viscous force $= Mg - \frac{Mg}{2} = \frac{Mg}{2}$.

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Home Economics QUESTION #6237

Question 13

Which weave is known for its characteristic diagonal lines on the fabric surface?

Plain weave
Satin weave
Twill weave✔️
Basket weave

Correct Answer Logic:

Twill weave, commonly seen in denim, creates a distinct diagonal rib or pattern.

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Reading and Writing (Module-1) QUESTION #5363

Question 14

A harpsichord may look just like a piano, but the difference between the two instruments is easy to hear. When a harpsichord's keys are pressed, the strings inside the ______ are plucked, not struck. Which choice completes the text so that it conforms to the conventions of Standard English?

instrument:
instrument✔️
instrument-
instrument,

Correct Answer Logic:

No punctuation is needed between the noun 'instrument' and the verb 'are plucked' in this simple sentence structure.

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Civil Procedure QUESTION #3719

Question 15

A painter agrees to paint a portrait for $\text{\$5,000}$, with payment due 'only if I am 100% satisfied with the likeness.' The painter does a high-quality job that meets all professional standards, but the client says, 'I just don't like it,' and refuses to pay. Can the painter recover?

Yes, if a 'reasonable person' would be satisfied with the portrait.
No, because satisfaction clauses regarding art/personal taste are governed by a subjective standard.✔️
Yes, because the client is acting in bad faith.
No, because the contract was an 'illusory promise.'

Correct Answer Logic:

For contracts involving personal taste or aesthetics (like a portrait), a 'satisfaction' clause is governed by a subjective standard. As long as the dissatisfaction is honest (not necessarily reasonable), the condition is not met.

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Islamic Studies QUESTION #211

Question 16

What was the main reason for factionalism during the Caliphate of Ali (رضي الله عنه)?

Disputes over beliefs
Assassination of Usman (رضي الله عنه)✔️
Economic hardship
None of these

Correct Answer Logic:

The demand for 'Qisas' (retribution) for Caliph Usman led to internal conflicts.

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General Knowledge QUESTION #8892

Question 17

'Per Capita Income' means:

Income per person✔️
Income per family
Average income of a country
Average income of a city

Correct Answer Logic:

Per capita income is total national income divided by population.

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General Knowledge QUESTION #2598

Question 18

Before modern keyboards and monitors existed, early computers used which input method to automatically perform calculations without manual data entry?

Magnetic disks
Punch cards✔️
Touchscreens
Optical scanners

Correct Answer Logic:

Punch cards were a sequence of cards with holes in them used to automatically perform calculations instead of manually entering them by hand. They were one of the earliest forms of computer input, used from the 19th century through the 1970s.

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