MODEL: gemma4-26b-a4b PATH: /home/qrf/.cache/llama.cpp/google_gemma-4-26B-A4B-it-Q4_K_M.gguf STARTED: 2026-07-11 21:34:05 ---------------------------------------------------------------------- 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 that a stable white dwarf star can have before electron degeneracy pressure is no longer sufficient to prevent gravitational collapse. Exceeding this limit typically results in a Type Ia supernova or the formation of a neutron star. (finish=stop tokens=60 time=1.9s tps=56.0) ---------------------------------------------------------------------- Q02 [physics] Which bosons mediate the weak nuclear force? The weak nuclear force is mediated by three gauge bosons: the W+, the W-, and the Z boson. The W bosons carry an electric charge, while the Z boson is electrically neutral. (finish=stop tokens=39 time=0.8s tps=56.3) ---------------------------------------------------------------------- Q03 [physics] What is the approximate value of the fine-structure constant? The approximate value of the fine-structure constant ($\alpha$) is $1/137$, or more precisely, approximately $0.00729735$. (finish=stop tokens=38 time=0.8s tps=56.3) ---------------------------------------------------------------------- Q04 [physics] What did the Davisson-Germer experiment confirm? The Davisson-Germer experiment confirmed the wave-particle duality of matter by demonstrating that electrons exhibit diffraction patterns. This provided experimental evidence for Louis de Broglie's hypothesis that particles possess wave-like properties. The results showed that electrons could be scattered by a crystal lattice in a manner consistent with Bragg diffraction. (finish=stop tokens=64 time=1.3s tps=56.0) ---------------------------------------------------------------------- Q05 [chemistry] What is the oxidation state of manganese in potassium permanganate? The oxidation state of manganese in potassium permanganate ($\text{KMnO}_4$) is +7. This is calculated by setting the sum of oxidation states to zero: $(+1) + x + 4(-2) = 0$. (finish=stop tokens=51 time=1.1s tps=55.9) ---------------------------------------------------------------------- Q06 [chemistry] Which element has the highest electronegativity after fluorine? Oxygen has the highest electronegativity after fluorine. On the Pauling scale, fluorine has a value of approximately 3.98, while oxygen has a value of approximately 3.44. (finish=stop tokens=41 time=0.9s tps=56.0) ---------------------------------------------------------------------- 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. (finish=stop tokens=29 time=0.7s tps=56.6) ---------------------------------------------------------------------- Q08 [chemistry] What is a racemic mixture? A racemic mixture is a 1:1 mixture of two enantiomers, which are non-superimposable mirror-image molecules. Because the two enantiomers rotate plane-polarized light in equal and opposite directions, the mixture is optically inactive. This results in a net optical rotation of zero. (finish=stop tokens=60 time=1.2s tps=56.1) ---------------------------------------------------------------------- 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 spinal roots of C3, C4, and C5. (finish=stop tokens=32 time=0.7s tps=56.5) ---------------------------------------------------------------------- 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 through a process called countercurrent multiplication. This gradient allows the kidneys to reabsorb water and solutes, enabling the production of concentrated urine. By establishing this osmotic gradient, the loop of Henle helps maintain the body's water and electrolyte balance. (finish=stop tokens=70 time=1.4s tps=56.4) ---------------------------------------------------------------------- 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 the "four Ds": dermatitis, diarrhea, dementia, and, if untreated, death. (finish=stop tokens=40 time=0.9s tps=56.6) ---------------------------------------------------------------------- Q12 [biology] What organism causes Chagas disease and what vector transmits it? Chagas disease is caused by the protozoan parasite *Trypanosoma cruzi*. It is transmitted to humans by triatomine bugs, also known as "kissing bugs." (finish=stop tokens=38 time=0.8s tps=56.6) ---------------------------------------------------------------------- Q13 [history] In what year did the First Council of Nicaea convene? The First Council of Nicaea convened in 325 AD. (finish=stop tokens=16 time=0.4s tps=57.9) ---------------------------------------------------------------------- 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 in 476 AD by the Germanic chieftain Odoacer. (finish=stop tokens=34 time=0.7s tps=56.6) ---------------------------------------------------------------------- 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, which consisted of the treaties of Osnabrück and Münster. These settlements were signed in 1648. (finish=stop tokens=39 time=0.8s tps=56.3) ---------------------------------------------------------------------- Q16 [history] Which Chinese dynasty ruled during the voyages of Zheng He? The Ming dynasty ruled during the voyages of Zheng He. These expeditions took place during the early 15th century under the Yongle Emperor and his successors. (finish=stop tokens=33 time=0.7s tps=56.5) ---------------------------------------------------------------------- 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 southern Siberia, Russia. It reaches a maximum depth of approximately 1,642 meters (5,387 feet). (finish=stop tokens=41 time=0.9s tps=56.4) ---------------------------------------------------------------------- Q18 [geography] Which two countries share the longest international land border? Canada and the United States share the longest international land border. (finish=stop tokens=13 time=0.4s tps=58.0) ---------------------------------------------------------------------- Q19 [geography] What strait separates Asia from North America? The Bering Strait separates Asia from North America. It connects the Arctic Ocean to the Bering Sea. (finish=stop tokens=20 time=0.5s tps=57.3) ---------------------------------------------------------------------- Q20 [geography] What is the capital of Burkina Faso? The capital of Burkina Faso is Ouagadougou. (finish=stop tokens=12 time=0.3s tps=58.2) ---------------------------------------------------------------------- Q21 [literature] Who wrote The Master and Margarita? Mikhail Bulgakov wrote *The Master and Margarita*. (finish=stop tokens=13 time=0.3s tps=58.0) ---------------------------------------------------------------------- Q22 [literature] In Dante's Divine Comedy, who guides Dante through Paradise? Beatrice guides Dante through Paradise. She represents divine revelation and grace. (finish=stop tokens=15 time=0.4s tps=57.9) ---------------------------------------------------------------------- Q23 [literature] What is the famous opening line of Anna Karenina? "All happy families are alike; each unhappy family is unhappy in its own way." (finish=stop tokens=18 time=0.4s tps=57.4) ---------------------------------------------------------------------- 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. (finish=stop tokens=24 time=0.6s tps=56.9) ---------------------------------------------------------------------- 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. (finish=stop tokens=24 time=0.6s tps=56.9) ---------------------------------------------------------------------- Q26 [music] Which composer wrote the Goldberg Variations? Johann Sebastian Bach wrote the Goldberg Variations. (finish=stop tokens=9 time=0.3s tps=59.5) ---------------------------------------------------------------------- Q27 [music] Who produced System of a Down's album Toxicity? The album *Toxicity* was produced by Rick Rubin. (finish=stop tokens=13 time=0.4s tps=58.2) ---------------------------------------------------------------------- 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. (finish=stop tokens=16 time=0.4s tps=57.6) ---------------------------------------------------------------------- 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 for a 2.4 GHz signal at 1 km is 100 dB. This can be calculated using the formula $FSPL (dB) = 20\log_{10}(d) + 20\log_{10}(f) + 20\log_{10}(\frac{4\pi}{c})$. For $d = 1000$ m and $f = 2.4 \times 10^9$ Hz, the result is approximately 100 dB. (finish=stop tokens=121 time=2.3s tps=55.8) ---------------------------------------------------------------------- Q30 [rf_engineering] What quantity does a Smith chart plot, and what is it used for? A Smith chart plots the complex reflection coefficient ($\Gamma$) as a function of normalized impedance ($z$). It is used to visually represent and solve problems related to impedance matching, transmission line characteristics, and S-parameters in RF and microwave engineering. The chart maps the complex plane onto a circle, where constant resistance and reactance circles allow for easy graphical calculations. (finish=stop tokens=71 time=1.4s tps=56.0) ---------------------------------------------------------------------- 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 formula, $C$ represents the channel capacity in bits per second, $B$ is the bandwidth of the channel in Hertz, and $S/N$ is the signal-to-noise power ratio. (finish=stop tokens=68 time=1.4s tps=56.0) ---------------------------------------------------------------------- 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. The spreading scheme is based on a Pseudo-Random Noise (PRN) code, specifically a Gold code. This code is applied to the data stream to provide spreading and signal identification. (finish=stop tokens=58 time=1.2s tps=56.1) ---------------------------------------------------------------------- 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 $\frac{\pi^2}{6}$. (finish=stop tokens=25 time=0.6s tps=56.5) ---------------------------------------------------------------------- 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 increases, regardless of the population's original distribution, provided the population has a finite variance. (finish=stop tokens=41 time=0.9s tps=56.3) ---------------------------------------------------------------------- Q35 [math] Write out Euler's identity. Euler's identity is $e^{i\pi} + 1 = 0$. (finish=stop tokens=20 time=0.5s tps=57.2) ---------------------------------------------------------------------- Q36 [math] How many groups of order 8 exist up to isomorphism? There are 5 groups of order 8 up to isomorphism. These consist of five distinct structures: the cyclic group $C_8$, the abelian group $C_4 \times C_2$, the elementary abelian group $C_2 \times C_2 \times C_2$, the dihedral group $D_4$, and the quaternion group $Q_8$. (finish=stop tokens=78 time=1.5s tps=55.7) ---------------------------------------------------------------------- Q37 [econ_law] What is the difference between nominal and real GDP? Nominal GDP measures a country's economic output using current market prices, meaning it is influenced by changes in both production and inflation. Real GDP adjusts for inflation by using constant prices from a base year, reflecting only changes in actual production volume. Therefore, real GDP provides a more accurate measure of economic growth by removing the effects of price fluctuations. (finish=stop tokens=70 time=1.4s tps=55.8) ---------------------------------------------------------------------- Q38 [econ_law] What legal principle does habeas corpus protect? Habeas corpus protects the principle of individual liberty against unlawful imprisonment. It serves as a procedural remedy that allows a prisoner to challenge the legality of their detention before a court. This principle ensures that the state cannot hold a person indefinitely without due process or legal justification. (finish=stop tokens=54 time=1.1s tps=56.1) ---------------------------------------------------------------------- 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 contributions to prospect theory. He shared the prize with Amos Tversky, though Tversky had passed away before the award was granted. (finish=stop tokens=48 time=1.0s tps=56.2) ---------------------------------------------------------------------- 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 money have the same face value but different intrinsic values, causing people to hoard the more valuable currency and only spend the less valuable one. This results in the debased or less valuable currency becoming the primary medium of exchange in circulation. (finish=stop tokens=71 time=1.4s tps=56.0) ---------------------------------------------------------------------- TOTAL: 35s for 40 questions === RUN COMPLETE ===