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Correct Answer Logic:
For an electron: \(\lambda_e = \frac{h}{\sqrt{2m_eE}}\). For a photon: \(\lambda_{ph} = \frac{hc}{E}\). Ratio: \(\frac{\lambda_{ph}}{\lambda_e} = \frac{hc}{E} \cdot \frac{\sqrt{2m_eE}}{h} = c\sqrt{\frac{2m_e}{E}}\). For typical energies, this ratio \(\gg 1\), meaning the photon's wavelength is much longer than the electron's De Broglie wavelength at the same energy.
Uploaded by: Fani Warraich
Urdu QUESTION #5225
Question 2
پروین شاکر کا ابتدائی تخلص کیا تھا؟
  • شاکر
  • بینا✔️
  • شبانہ
  • ان میں سے کوئی نہیں
Correct Answer Logic:
پروین شاکر کا ابتدائی تخلص 'بینا' تھا بعد میں انہوں نے 'شاکر' تخلص اختیار کیا۔
Uploaded by: Fani Warraich
Correct Answer Logic:
This analogy shows a 'worker : workplace' relationship. A doctor works in a hospital; a teacher works in a school. The relationship is: professional person to the place where they primarily work.
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Basic Mathematics QUESTION #4510
Question 4
If $a = 0$, what is $a \times 1000$?
  • $1000$
  • $0$✔️
  • $a$
  • Undefined
Correct Answer Logic:
Zero multiplied by any number equals zero. $0 \times 1000 = 0$
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Agronomy QUESTION #2094
Question 5
The concept of 'phenotypic plasticity' in crop adaptation to variable environments refers to:
  • The ability of a plant's DNA sequence to mutate in response to environmental stress
  • The capacity of a single genotype to express a range of phenotypes (morphological, physiological, or behavioral) in response to different environmental conditions — without genetic change — allowing crops to partially buffer yield across variable environments✔️
  • The selection of different varieties (genotypes) for each target environment
  • The use of plastic mulch films to modify the crop microenvironment
Correct Answer Logic:
Phenotypic plasticity describes genotype × environment (G×E) interaction at the individual plant level: one genotype producing different trait expressions (leaf area, tiller number, root architecture, phenology) across environments. Crops with high plasticity can partially self-regulate resource capture. Breeders must distinguish genetic adaptation (G) from plasticity (GEI) when evaluating varieties across diverse environments.
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Professional QUESTION #1884
Question 6
Under Rule 5(1)(i) when the Authority is the President or Prime Minister who exercises the powers of the authority regarding suspension/leave?
  • The Federal Cabinet
  • The Chairman Senate
  • The Secretary Establishment Division✔️
  • The Chief Justice of Pakistan
Correct Answer Logic:
The proviso to Rule 5(1)(i) specifically states that where the authority is the President or Prime Minister these powers shall be exercised by the Secretary Establishment Division.
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Agronomy QUESTION #2100
Question 7
Biological nitrogen fixation (BNF) by soybean-Bradyrhizobium japonicum symbiosis requires which essential micronutrient as a component of the nitrogenase enzyme complex?
  • Zinc (Zn) — as a cofactor for auxin-mediated nodule initiation
  • Molybdenum (Mo) — as a component of the iron-molybdenum cofactor (FeMo-co) at the active site of nitrogenase that reduces \(N_2\) to \(NH_3\)✔️
  • Boron (B) — for nodule cell wall synthesis and longevity
  • Copper (Cu) — for leghemoglobin synthesis in nodule cortex
Correct Answer Logic:
Nitrogenase consists of two proteins: dinitrogenase (MoFe protein) containing the FeMo-co active site where \(N_2\) is reduced (\(N_2 + 8H^+ + 8e^- + 16ATP \rightarrow 2NH_3 + H_2 + 16ADP + 16P_i\)), and dinitrogenase reductase (Fe protein). Mo is irreplaceable at the active site — Mo deficiency severely impairs BNF. Fe is also essential (leghemoglobin, Fe-S clusters). Both Mo and Fe are required for full BNF activity.
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Correct Answer Logic:
Error df in RCBD \(= (b-1)(t-1) = (9-1)(4-1) = 8 \times 3 = 24\). Equivalently, total df \(= bt - 1 = 35\), blocks df \(= b - 1 = 8\), treatments df \(= t - 1 = 3\), so error df \(= 35 - 8 - 3 = 24\).
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Psychology QUESTION #1464
Question 9
Which of the following is an example of a projective psychological test?
  • The Wechsler Intelligence Scale for Children (WISC)
  • The Minnesota Multiphasic Personality Inventory (MMPI)
  • The Rorschach Inkblot Test✔️
  • The Stanford-Binet Intelligence Scale
Correct Answer Logic:
The Rorschach Inkblot Test is a classic projective test in which individuals describe what they see in ambiguous inkblots — their responses are thought to reveal unconscious thoughts, feelings, and personality characteristics. Projective tests use ambiguous stimuli to 'project' inner states. WISC and Stanford-Binet are intelligence tests; MMPI is an objective (self-report) personality inventory.
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Correct Answer Logic:
The bones were similar to those of climbing apes, so "comparable to" is correct.
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Biology Zoology Botany QUESTION #1378
Question 11
In dicot plants, the first leaf-like structure that emerges from the seed is called:
  • Hypocotyl
  • Cotyledon✔️
  • Epicotyl
  • Radicle
Correct Answer Logic:
Cotyledons are the seed leaves (embryonic leaves) present inside the seed. In dicots there are two cotyledons. They are the first leaf-like structures to emerge from a germinating seed and often serve as the primary source of nutrition for the seedling. The hypocotyl is the stem below cotyledons; epicotyl is above; radicle becomes the root.
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Correct Answer Logic:
XeO\(_3\): 3 bond pairs + 1 lone pair → sp\(^3\), pyramidal (II). XeF\(_2\): 2 bond pairs + 3 lone pairs → sp\(^3\)d, linear (I). XeOF\(_4\): 5 bond pairs + 1 lone pair → sp\(^3\)d\(^2\), square pyramidal (IV). XeF\(_6\): 6 bond pairs + 1 lone pair → sp\(^3\)d\(^3\), distorted octahedral (III). Matching: A-II, B-I, C-IV, D-III.
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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3635
Question 13
Which part of 'Cinnamon' (Darchini) is used as medicine?
  • Leaves
  • Inner Bark✔️
  • Flowers
  • Roots
Correct Answer Logic:
Cinnamomum zeylanicum bark is the medicinal part.
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Correct Answer Logic:
In Marxist theory, the 'base' refers to the economic infrastructure — the means and relations of production — while the 'superstructure' encompasses all other social institutions (law, religion, politics, culture) that arise from and serve to legitimize the base. This is a core concept of historical materialism, not functionalism or symbolic interactionism.
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Agronomy QUESTION #2056
Question 15
The plant-available water capacity (PAWC) of a soil is correctly expressed as:
  • The moisture content at field capacity only
  • \(PAWC = \theta_{FC} - \theta_{PWP}\), where \(\theta_{FC}\) is volumetric water content at field capacity (\(-33\) kPa) and \(\theta_{PWP}\) is at permanent wilting point (\(-1500\) kPa)✔️
  • The total porosity of the soil minus bulk density
  • The gravitational water fraction that drains within 48 hours of saturation
Correct Answer Logic:
PAWC represents the reservoir of water accessible to plant roots. It equals the difference in volumetric water content between field capacity (−33 kPa, where drainage becomes negligible) and permanent wilting point (−1500 kPa, where plants cannot extract water). Sandy soils have low PAWC; loam soils have the highest.
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English QUESTION #2767
Question 16
Find the word OPPOSITE IN MEANING to 'Verbose'.
  • Talkative
  • Concise✔️
  • Lengthy
  • Wordy
Correct Answer Logic:
'Verbose' means using more words than needed (wordy). Its antonym is 'Concise', which means giving a lot of information clearly and in few words. 'Talkative', 'Lengthy', and 'Wordy' are synonyms of verbose.
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Physics QUESTION #1061
Question 17
An unpolarized light beam is incident on medium of refractive index 1.73 at Brewster's angle. Then:
  • Both reflected and transmitted light are perfectly polarized at 60° and 30°
  • Transmitted light is completely polarized with refraction angle close to 30°
  • Reflected light is completely polarized and angle of reflection is close to 60°✔️
  • Reflected light is partially polarized and angle of reflection is close to 30°
Correct Answer Logic:
Brewster's angle: \(\tan\theta_B=n=1.73\approx\sqrt{3}\Rightarrow\theta_B=60°\). At Brewster's angle, reflected light is completely polarized (in the plane perpendicular to incidence). Angle of reflection \(=60°\). Transmitted light is partially polarized (not completely). Answer: option (3).
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Electrical Engineering QUESTION #2162
Question 18
A 220 kV transmission line has surge impedance $Z_c = 250\,\Omega$. The Surge Impedance Loading (SIL) is:
  • $193.6\,\text{MW}$✔️
  • $96.8\,\text{MW}$
  • $387.2\,\text{MW}$
  • $484\,\text{MW}$
Correct Answer Logic:
$\text{SIL} = \frac{V_R^2}{Z_c} = \frac{(220 \times 10^3)^2}{250} = \frac{4.84 \times 10^{10}}{250} = 193.6\,\text{MW}$.
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Urdu QUESTION #5214
Question 19
'چہارشنبہ' ہفتے کا کون سا دن ہے؟
  • اتوار
  • پیر
  • منگل
  • بدھ✔️
Correct Answer Logic:
چہارشنبہ فارسی میں چوتھا دن یعنی بدھ ہے۔
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Mechanical Engineering QUESTION #2403
Question 20
The Froude number \(Fr\) is the ratio of inertial forces to gravity forces, expressed as:
  • \(Fr = V / \sqrt{gL}\) — ratio of flow velocity to wave speed✔️
  • \(Fr = \rho V^2 / (gL)\)
  • \(Fr = V \sqrt{L/g}\)
  • \(Fr = \sqrt{gL}/V\)
Correct Answer Logic:
Froude number: \(Fr=V/\sqrt{gL}\). When \(Fr<1\): subcritical flow; \(Fr>1\): supercritical flow; \(Fr=1\): critical flow.
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