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The lumped capacitance method is valid when $Bi=hL_c/k\leq0.1$. The temperature history is: $\frac{T-T_\infty}{T_i-T_\infty}=e^{-t/\tau}$ where $\tau=\rho c V/(hA_s)$ is the time constant.

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Therapeutics and Patient Care QUESTION #3875

Question 3865

What is the first-line pharmacological treatment for a confirmed infestation with \textit{Sarcoptes scabiei}?

Permethrin✔️
Mebendazole
Malathion
Tinidazole

Correct Answer Logic:

Topical permethrin $5\%$ cream is the first-line treatment for scabies, applied to all body surfaces from neck down and washed off after $8$–$14$ hours.

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Physics QUESTION #7217

Question 3866

The equation of state of a real gas is expressed as $\left(P + \dfrac{a}{V^2}\right)(V - b) = RT$, where $P$ is pressure, $V$ is volume, $T$ is absolute temperature, and $a$, $b$, $R$ are constants. What are the dimensions of the constant $a$?

$[ML^5T^{-2}]$✔️
$[ML^{-1}T^{-2}]$
$[L^3]$
$[L^6]$

Correct Answer Logic:

Since quantities added or subtracted must have the same dimensions, $\dfrac{a}{V^2}$ must have the same dimensions as pressure $P$.

$[P] = [ML^{-1}T^{-2}]$ and $[V^2] = [L^6]$

Therefore: $[a] = [P][V^2] = [ML^{-1}T^{-2}][L^6] = [ML^5T^{-2}]$

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Boilers Mechanical Engineering QUESTION #2503

Question 3867

A simply supported beam with uniformly distributed load $w$ (N/m) over span $L$ has a maximum bending moment of:

$M_{max} = \frac{wL}{8}$
$M_{max} = \frac{wL^2}{4}$
$M_{max} = \frac{wL^2}{8}$✔️
$M_{max} = \frac{wL^2}{2}$

Correct Answer Logic:

For a simply supported beam with UDL $w$ over span $L$: the maximum bending moment occurs at mid-span and equals $M_{max} = wL^2/8$.

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Verbal Reasoning QUESTION #8159

Question 3868

Let $x$ and $m$ be positive numbers, where $m$ is a multiple of 3. Compare:

Quantity A: $\dfrac{x^m}{x^3}$

Quantity B: $x^{m/3}$

Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given✔️

Correct Answer Logic:

Simplify Quantity A: $\dfrac{x^m}{x^3} = x^{m-3}$.

Quantity B: $x^{m/3}$.

We need to compare $x^{m-3}$ with $x^{m/3}$. The relationship depends on the base $x$ and the exponent comparison.

Case 1: $x = 1$. Both quantities $= 1$. Equal.

Case 2: $x = 2,\ m = 6$. Qty A $= 2^{6-3} = 2^3 = 8$. Qty B $= 2^{6/3} = 2^2 = 4$. A > B.

Case 3: $x = 2,\ m = 3$. Qty A $= 2^{3-3} = 2^0 = 1$. Qty B $= 2^{3/3} = 2^1 = 2$. B > A.

Because different values give different results, the relationship cannot be determined.

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Administration QUESTION #2934

Question 3869

What does "Total Quality Management" (TQM) primarily emphasize in an organizational context?

Detecting and fixing errors only after production is finished
Fostering a culture of continuous improvement across all levels✔️
Minimizing costs by reducing the quality of raw materials
None of these

Correct Answer Logic:

TQM is a holistic approach that seeks to improve quality through the ongoing involvement of all employees and departments.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3023

Question 3870

The most common base used for rectal suppositories is:

Glycerin
Cocoa Butter (Theobroma Oil)✔️
Polyethylene Glycol
Gelatin

Correct Answer Logic:

Cocoa butter is the classic suppository base due to its melting point near body temperature.

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Math Physics Chemistry Biology QUESTION #4186

Question 3871

The end of skeletal muscle attached with moveable bone is:

Insertion✔️
Origin
Tendons
Belly

Correct Answer Logic:

The insertion is the end of muscle attached to the moveable bone.

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Boilers Mechanical Engineering QUESTION #4022

Question 3872

'Induced Draft' fans are located:

Before the furnace
At the base of the chimney (after the boiler)✔️
Inside the drum
In the fuel tank

Correct Answer Logic:

They 'pull' the flue gases out of the boiler, creating a slightly negative pressure in the furnace.

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General Science and Ability QUESTION #254

Question 3873

The pH of soil is raised using:

Lime stone✔️
Gypsum
Urea
None of these

Correct Answer Logic:

Limestone (calcium carbonate) is alkaline and is used to neutralize acidic soil.

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Chemistry QUESTION #7149

Question 3874

Which of the following alkaline earth metal nitrates does not contain water of crystallization in its solid form?

$Mg(NO_{3})_{2}$
$Sr(NO_{3})_{2}$
$Ca(NO_{3})_{2}$
$Ba(NO_{3})_{2}$✔️

Correct Answer Logic:

The ability of alkaline earth metal ions to hydrate decreases as the size of the cation increases. Barium ($Ba^{2+}$) has the largest size and lowest charge density among the options provided, meaning it does not have enough polarizing power to hold water molecules. Consequently, $Ba(NO_{3})_{2}$ crystallizes as an anhydrous salt.

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Nursing QUESTION #9175

Question 3875

A community health nurse calculates the Crude Birth Rate (CBR) of a district. The correct formula is:
\\text{CBR} = ?

\\frac{\\text{Number of live births}}{\\text{Mid-year population}} \\times 1000✔️
\\frac{\\text{Number of live births}}{\\text{Number of women aged 15-49}} \\times 1000
\\frac{\\text{Total deaths}}{\\text{Mid-year population}} \\times 1000
\\frac{\\text{Number of live births}}{\\text{Total births including stillbirths}} \\times 1000

Correct Answer Logic:

The Crude Birth Rate (CBR) is calculated as:

\\text{CBR} = \\frac{\\text{Number of live births in a year}}{\\text{Mid-year total population}} \\times 1000

It is expressed per 1,000 population. Pakistan's CBR is approximately 26–28 per 1,000 population.

Comparison with other fertility measures:

General Fertility Rate (GFR) uses women aged 15–49 as denominator
Total Fertility Rate (TFR) is the average number of children a woman would have in her lifetime
Option 3 is the formula for Crude Death Rate (CDR)

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General Knowledge QUESTION #8663

Question 3876

How many states are there in the United States of America?

51
49
52
None of above✔️

Correct Answer Logic:

There are 50 states (None of above).

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General Science and Ability QUESTION #250

Question 3877

One degree of longitude on the equator is equal to a distance of:

49 miles
69 miles✔️
39 miles
60 miles

Correct Answer Logic:

At the equator, one degree of longitude is approximately 69.17 miles.+2

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English QUESTION #824

Question 3878

Pick the correct sentence about impact on economy:

This has a bad impact on economy.✔️
This has a bad impact to the economy.
This has a bad impact for the economy.
This has a bad impact over the economy.

Correct Answer Logic:

The correct preposition after 'impact' is 'on'. Correct: 'a bad impact on the economy' (though 'the' before economy would be more complete, option A is the best available choice).

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3554

Question 3879

Which part of 'Valerian' is used for its sedative properties?

Roots and Rhizomes✔️
Flowers
Leaves
Seeds

Correct Answer Logic:

Valeriana officinalis is used for anxiety and sleep disorders.

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Mathematics QUESTION #6986

Question 3880

Five observations have mean $= 4$ and variance $= 5.2$. Three of the observations are $3, 4, 4$. Find the absolute difference between the remaining two observations.

7✔️
5
1
3

Correct Answer Logic:

Step 1 — Find the sum: $\sum x_i = 5\times4=20$. Known three: $3+4+4=11$. So $x_4+x_5=9$.

Step 2 — Find sum of squares: Variance $=\frac{\sum x_i^2}{n}-\bar{x}^2 \Rightarrow \frac{\sum x_i^2}{5}-16=5.2 \Rightarrow \sum x_i^2=106$.

Known: $3^2+4^2+4^2=9+16+16=41$. So $x_4^2+x_5^2=65$.

Step 3 — Solve: $x_4+x_5=9$ and $x_4^2+x_5^2=65$.

$(x_4+x_5)^2=81 \Rightarrow 2x_4x_5=81-65=16 \Rightarrow x_4x_5=8$.

$(x_4-x_5)^2=(x_4+x_5)^2-4x_4x_5=81-32=49$

$|x_4-x_5|=\mathbf{7}$

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