experiments-07-07-12-local-llm-knowledge-2/results/qwen3.6-27b.log

MODEL: qwen3.6-27b
PATH: /home/qrf/.cache/llama.cpp/Qwen_Qwen3.6-27B-Q4_K_M.gguf
STARTED: 2026-07-11 19:23:53

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Q01 [physics]
What is the Chandrasekhar limit in solar masses, and what does it represent?

The Chandrasekhar limit is approximately 1.4 solar masses. It represents the maximum mass of a stable white dwarf star. If a white dwarf exceeds this limit, electron degeneracy pressure can no longer support it against gravitational collapse, leading to a Type Ia supernova or the formation of a neutron star.

(finish=stop tokens=64 time=4.7s tps=18.7)

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Q02 [physics]
Which bosons mediate the weak nuclear force?

The weak nuclear force is mediated by three massive gauge bosons: the W+, W-, and Z0 bosons. These particles are responsible for processes such as beta decay and neutrino interactions. Unlike the photon, which mediates the electromagnetic force, these bosons have significant mass, limiting the range of the weak interaction.

(finish=stop tokens=66 time=4.1s tps=18.8)

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Q03 [physics]
What is the approximate value of the fine-structure constant?

The fine-structure constant is approximately 1/137. Its more precise value is roughly 0.0072973525693. This dimensionless physical constant characterizes the strength of the electromagnetic interaction between elementary charged particles.

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Q04 [physics]
What did the Davisson-Germer experiment confirm?

The Davisson-Germer experiment confirmed the wave nature of electrons, providing experimental evidence for Louis de Broglie's hypothesis of matter waves. By demonstrating that electrons diffract when scattered off a nickel crystal, it validated the principles of quantum mechanics regarding wave-particle duality.

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Q05 [chemistry]
What is the oxidation state of manganese in potassium permanganate?

The oxidation state of manganese in potassium permanganate (KMnO₄) is +7.

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Q06 [chemistry]
Which element has the highest electronegativity after fluorine?

Oxygen has the highest electronegativity after fluorine. On the Pauling scale, oxygen has an electronegativity value of 3.44, while fluorine is the most electronegative element at 3.98.

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Q07 [chemistry]
What industrial process converts nitrogen gas to ammonia, and what catalyst does it typically use?

The industrial process is the Haber-Bosch process. It typically uses an iron-based catalyst, often promoted with potassium and aluminum oxides, to facilitate the reaction between nitrogen and hydrogen.

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Q08 [chemistry]
What is a racemic mixture?

A racemic mixture is a chemical substance containing equal amounts of left- and right-handed enantiomers of a chiral molecule. Because the optical rotations of the two enantiomers cancel each other out, the mixture is optically inactive. It is also commonly referred to as a racemate.

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Q09 [biology]
Which nerve innervates the diaphragm, and from which spinal roots does it arise?

The diaphragm is innervated by the phrenic nerve. This nerve arises from the anterior rami of spinal roots C3, C4, and C5.

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Q10 [biology]
What is the primary function of the loop of Henle?

The primary function of the loop of Henle is to create a concentration gradient in the renal medulla. This gradient allows the kidney to produce concentrated urine and conserve water. It achieves this through a countercurrent multiplier mechanism that reabsorbs salts while preventing water reabsorption in the descending limb.

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Q11 [biology]
Deficiency of which vitamin causes pellagra, and what are its three classic symptoms?

Pellagra is caused by a deficiency of vitamin B3 (niacin). Its three classic symptoms are dermatitis, diarrhea, and dementia.

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Q12 [biology]
What organism causes Chagas disease and what vector transmits it?

Chagas disease is caused by the protozoan parasite *Trypanosoma cruzi*. It is primarily transmitted to humans through the feces of infected triatomine bugs, commonly known as kissing bugs.

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Q13 [history]
In what year did the First Council of Nicaea convene?

The First Council of Nicaea convened in 325 AD.

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Q14 [history]
Who is generally considered the last emperor of the Western Roman Empire?

Romulus Augustulus is generally considered the last emperor of the Western Roman Empire. He was deposed by the Germanic chieftain Odoacer in 476 AD, an event traditionally marking the fall of the Western Roman Empire.

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Q15 [history]
What peace settlement ended the Thirty Years' War, and in what year?

The Thirty Years' War was ended by the Peace of Westphalia. This settlement was signed in 1648.

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Q16 [history]
Which Chinese dynasty ruled during the voyages of Zheng He?

Zheng He's voyages took place during the Ming Dynasty. Specifically, they occurred under the reigns of the Yongle Emperor and the Xuande Emperor in the early 15th century.

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Q17 [geography]
What is the deepest lake in the world and approximately how deep is it?

The deepest lake in the world is Lake Baikal, located in Siberia, Russia. It has a maximum depth of approximately 1,642 meters (5,387 feet).

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Q18 [geography]
Which two countries share the longest international land border?

The United States and Canada share the longest international land border in the world. This boundary stretches approximately 8,891 kilometers (5,525 miles).

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Q19 [geography]
What strait separates Asia from North America?

The Bering Strait separates Asia from North America. It connects the Arctic Ocean to the Pacific Ocean and lies between Russia's Chukotka Peninsula and Alaska's Seward Peninsula.

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Q20 [geography]
What is the capital of Burkina Faso?

The capital of Burkina Faso is Ouagadougou.

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Q21 [literature]
Who wrote The Master and Margarita?

Mikhail Bulgakov wrote *The Master and Margarita*.

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Q22 [literature]
In Dante's Divine Comedy, who guides Dante through Paradise?

Beatrice guides Dante through Paradise in Dante's *Divine Comedy*. She serves as his spiritual guide and symbol of divine love and theology throughout the *Paradiso* section of the epic poem.

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Q23 [literature]
What is the famous opening line of Anna Karenina?

The famous opening line of Leo Tolstoy's *Anna Karenina* is: "All happy families are alike; each unhappy family is unhappy in its own way."

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Q24 [literature]
Who wrote One Hundred Years of Solitude and in what year was it first published?

Gabriel García Márquez wrote *One Hundred Years of Solitude*. It was first published in 1967.

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Q25 [music]
What was Iron Maiden's debut studio album and in what year was it released?

Iron Maiden's debut studio album is titled *Iron Maiden*. It was released in 1980.

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Q26 [music]
Which composer wrote the Goldberg Variations?

Johann Sebastian Bach wrote the Goldberg Variations.

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Q27 [music]
Who produced System of a Down's album Toxicity?

System of a Down's album *Toxicity* was produced by Rick Rubin.

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Q28 [music]
The natural minor scale corresponds to which mode of the major scale?

The natural minor scale corresponds to the Aeolian mode of the major scale. It is built on the sixth degree of the major scale.

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Q29 [rf_engineering]
What is the approximate free-space path loss in dB at 1 km for a 2.4 GHz signal?

The approximate free-space path loss is 92.45 dB. This is calculated using the formula $L = 20 \log_{10}(d) + 20 \log_{10}(f) + 32.44$, where $d$ is 1 km and $f$ is 2400 MHz.

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Q30 [rf_engineering]
What quantity does a Smith chart plot, and what is it used for?

A Smith chart plots complex reflection coefficients (or equivalently, normalized impedance and admittance) on a polar coordinate system. It is primarily used in radio frequency (RF) and microwave engineering for analyzing and designing transmission lines and impedance matching networks. The chart allows engineers to visualize how impedance changes along a transmission line and to determine the necessary components to match a load to a source.

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Q31 [rf_engineering]
State the Shannon capacity formula and define its variables.

The Shannon capacity formula is $C = B \log_2(1 + \frac{S}{N})$. In this equation, $C$ represents the channel capacity in bits per second, and $B$ is the bandwidth in Hertz. $S$ denotes the average signal power, while $N$ represents the average noise power. The ratio $S/N$ is the signal-to-noise ratio.

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Q32 [rf_engineering]
What modulation and spreading scheme does the GPS L1 C/A signal use?

The GPS L1 C/A signal uses Binary Phase Shift Keying (BPSK) modulation. It employs Direct Sequence Spread Spectrum (DSSS) as its spreading scheme. The carrier is modulated by a pseudo-random noise (PRN) code at a chipping rate of 1.023 MHz. This combination allows multiple satellites to share the same frequency band through code division multiple access (CDMA).

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Q33 [math]
What is the exact value of the Riemann zeta function at s=2?

The exact value of the Riemann zeta function at s=2 is $\pi^2/6$. This result is known as the solution to the Basel problem, proven by Leonhard Euler.

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Q34 [math]
State the Central Limit Theorem in one sentence.

The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size becomes large, regardless of the shape of the population distribution.

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Q35 [math]
Write out Euler's identity.

Euler's identity is written as $e^{i\pi} + 1 = 0$. It connects five fundamental mathematical constants: $e$, $i$, $\pi$, $1$, and $0$.

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Q36 [math]
How many groups of order 8 exist up to isomorphism?

There are exactly 5 groups of order 8 up to isomorphism. These are the cyclic group $C_8$, the direct product $C_4 \times C_2$, the elementary abelian group $C_2 \times C_2 \times C_2$, the dihedral group $D_4$, and the quaternion group $Q_8$.

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Q37 [econ_law]
What is the difference between nominal and real GDP?

Nominal GDP measures the value of goods and services produced in an economy using current prices, while real GDP adjusts for inflation by using constant prices from a base year. This adjustment allows real GDP to reflect actual changes in production volume rather than just price increases. Consequently, real GDP is a more accurate indicator of economic growth and living standards over time.

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Q38 [econ_law]
What legal principle does habeas corpus protect?

Habeas corpus protects the legal principle that individuals cannot be detained by the state without just cause or due process. It ensures that the government must justify the legality of a person's imprisonment before a court. This safeguard prevents arbitrary or unlawful detention.

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Q39 [econ_law]
Who won the Nobel Memorial Prize in Economics for prospect theory?

Daniel Kahneman won the Nobel Memorial Prize in Economic Sciences in 2002 for his work on prospect theory. He shared the prize with Vernon L. Smith, who was recognized for his contributions to experimental economics. Kahneman was the first psychologist to receive this award.

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Q40 [econ_law]
What is Gresham's law?

Gresham's law is an economic principle stating that "bad money drives out good." It occurs when two forms of commodity money with the same face value but different intrinsic values are in circulation. People tend to hoard or melt down the "good" money with higher intrinsic value, while spending the "bad" money with lower intrinsic value.

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TOTAL: 124s for 40 questions
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