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Questions and Answers

What is the magnitude of the magnetic field when a beam of electrons moving at $4.50 \times 10^{5}$ m/s traces out a circle with a radius of 22.0 cm?

  • 11.6 µT (correct)
  • 8.62 µT
  • 14.7 µT
  • 21.3 µT

Which of the following statements accurately describes the composition of a meson, such as a pion?

  • Two quarks
  • A quark and an anti-quark (correct)
  • A quark and a lepton
  • Three quarks

When dropping an object from different heights, what kind of graph would you expect when plotting final velocity as a function of initial height?

  • Exponential increase
  • Constant velocity
  • Linear increase with a slope
  • Parabolic curve (correct)

What property of the wire can be determined based on its length and diameter of 0.40 mm?

<p>Resistivity (D)</p> Signup and view all the answers

If an object is always at rest when dropped, what physical principle explains its motion when it falls?

<p>Gravitational force (C)</p> Signup and view all the answers

What is the field of biology that focuses on classifying organisms into specific groups?

<p>Taxonomy (A)</p> Signup and view all the answers

Which statement about eukaryotic cells is incorrect?

<p>Cell walls are present in all eukaryotes. (B)</p> Signup and view all the answers

What type of mutation occurs when a cytosine is changed to an adenine in the DNA sequence?

<p>Base substitution (B)</p> Signup and view all the answers

In the water cycle, what is the process of carrying water through plants and releasing it as vapor called?

<p>Transpiration (B)</p> Signup and view all the answers

Which of these concepts defines a group of organisms that can mate and produce fertile offspring?

<p>Population (C)</p> Signup and view all the answers

What would happen according to natural selection if a phenotype provides a competitive advantage?

<p>Organisms with that phenotype would thrive. (C)</p> Signup and view all the answers

Which of the following processes is incorrectly matched with its definition in the context of DNA replication?

<p>Replication starts in the nucleus. (A)</p> Signup and view all the answers

What type of mutation results in a shift of the reading frame due to the insertion or deletion of nucleotides?

<p>Frameshift mutation (C)</p> Signup and view all the answers

Which celestial object did the Babylonians observe that reverses its motion for about 90 days after two years of normal motion?

<p>Mars (C)</p> Signup and view all the answers

What standard candle star did Edwin Hubble use to measure astronomical distances to galaxies?

<p>Supernovae (D)</p> Signup and view all the answers

What is the acceleration of a 21.0 kg box being pushed with a force of 35.0N at a 20.0° angle downward on a frictionless floor?

<p>1.67 m/s² (B)</p> Signup and view all the answers

Which of the following celestial objects is not measured with Cepheid variable stars according to current astronomic practices?

<p>Distances beyond five million light years (D)</p> Signup and view all the answers

What effect does a downward angled push have on the box in terms of its vertical acceleration?

<p>It has no effect on the box's weight (B)</p> Signup and view all the answers

What is the speed change of a tennis ball after being returned, if its initial speed was 42.0 m/s West and it was hit to a speed of 30.0 m/s East?

<p>72.0 m/s (B)</p> Signup and view all the answers

How long was the tennis ball in contact with the racquet when its speed changed from 42.0 m/s to 30.0 m/s?

<p>0.650 seconds (D)</p> Signup and view all the answers

What is a common application of Cepheid variable stars in astronomy?

<p>Measuring distances to nearby galaxies (C)</p> Signup and view all the answers

How many atoms are present in one formula unit of potassium dichromate?

<p>8 (A)</p> Signup and view all the answers

If 1026 kJ of heat increases the temperature of water from 40°C to 80°C, what will be the final temperature if an additional 1026 kJ is added?

<p>More than 100°C but less than 120°C (B)</p> Signup and view all the answers

What is a key difference between an electrolytic cell and a galvanic cell?

<p>A galvanic cell generates a positive voltage and an electrolytic cell does not. (C)</p> Signup and view all the answers

If the final temperature of water cannot exceed 100°C at 1 atm pressure, what would likely happen if exceeding this temperature?

<p>The water will boil off completely. (C)</p> Signup and view all the answers

Which of the following is not considered a valid empirical formula?

<p>C6H12O6 (D)</p> Signup and view all the answers

Is it possible that there are undiscovered elements within the current periodic table of 118 elements?

<p>Yes, there are likely undiscovered elements. (C)</p> Signup and view all the answers

What happens to the amount of heat required to raise the temperature of water as it gets hotter?

<p>It increases because higher temperatures require more heat. (C)</p> Signup and view all the answers

What characteristic does an electrolytic cell have that distinguishes it from a galvanic cell?

<p>Electrolytic cells require an external power source to operate. (A)</p> Signup and view all the answers

What is the value of the gravitational constant G?

<p>6.67 × 10−11 N·m²/kg² (C)</p> Signup and view all the answers

Which constant represents the speed of light in a vacuum?

<p>3.00 × 10⁸ m/s (A)</p> Signup and view all the answers

What is the value of the Coulomb constant k?

<p>8.99 × 10⁹ N·m²/C² (B)</p> Signup and view all the answers

What is the specific heat capacity of water at 0°C?

<p>4.184 J/g·K (A)</p> Signup and view all the answers

Which of the following values corresponds to Planck's constant?

<p>6.626 × 10⁻³⁴ J·s (B)</p> Signup and view all the answers

What is the value of the universal gas constant R?

<p>8.314 J/mol·K (B)</p> Signup and view all the answers

What is the value of the speed of sound at 20ºC?

<p>343 m/s (A)</p> Signup and view all the answers

What is the specific heat capacity of ice?

<p>2.09 J/g·K (A)</p> Signup and view all the answers

Which of the following is the permeability of free space?

<p>4π × 10⁻⁷ T·m/A (D)</p> Signup and view all the answers

What is the value of electron mass me?

<p>9.11 × 10−31 kg (A)</p> Signup and view all the answers

What is the boiling point elevation of Dead Sea water due to the NaCl concentration?

<p>16.5°C (E)</p> Signup and view all the answers

Which set of elements are all members of the same group on the periodic table?

<p>Carbon, silicon, tin, and lead (C)</p> Signup and view all the answers

According to the Arrhenius definition, which statement about carbon dioxide is correct?

<p>Neither, because CO2 does not contain H or OH. (C)</p> Signup and view all the answers

Which reaction has the correct rate law if it is second order with respect to NO and first order with respect to H2?

<p>Rate = k[NO]^2[H2] (A)</p> Signup and view all the answers

What is the primary characteristic of a strong acid according to the Arrhenius definition?

<p>It produces H+ ions when dissolved in water. (A)</p> Signup and view all the answers

What happens to the pH of water when carbon dioxide is dissolved in it?

<p>The pH decreases. (E)</p> Signup and view all the answers

What is the primary group of elements that includes nitrogen?

<p>Pnictogens (E)</p> Signup and view all the answers

Which of the following reactions is balanced?

<p>2 NO(g) + 2 H2(g) → N2(g) + 2 H2O(g) (B)</p> Signup and view all the answers

Flashcards

Taxonomy

The field of biology that classifies organisms into groups based on their characteristics.

DNA replication in bacteria

DNA replication in bacteria occurs immediately before cell division, ensuring each daughter cell receives a complete copy of the bacterial genome.

Base substitution

A change in the DNA sequence where one base is replaced by another.

Transpiration

The process by which water is transported through plants and released as vapor into the atmosphere.

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Ecology

The study of how organisms interact with each other and their environment.

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Population

Organisms living in the same geographic area that can interbreed and produce fertile offspring.

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Natural selection

The process by which natural selection favors traits that increase an organism's chance of survival and reproduction.

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Mimic disease

A disease that mimics the symptoms of another disease.

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Boiling Point Elevation

A measure of how much the boiling point of a solvent is raised when a non-volatile solute is added to it.

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Rate Law

The rate law for the reaction is the mathematical expression showing the relationship between the rate of reaction and the concentrations of the reactants.

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Molarity

The number of moles of a substance per liter of solution.

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Arrhenius Acid

A substance that when dissolved in water, produces hydrogen ions (H+) and increases the pH.

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Arrhenius Base

A substance that when dissolved in water, produces hydroxide ions (OH-) and decreases the pH.

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Group on the Periodic Table

A group of elements that share similar chemical properties.

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Order of Reaction

The order of a reaction with respect to a reactant is the exponent of its concentration term in the rate law.

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Equilibrium

A chemical reaction in which the rate of the forward reaction is equal to the rate of the reverse reaction.

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What is retrograde motion?

A celestial object that exhibits retrograde motion, appearing to move backward in the sky for a period of time. The Babylonians observed this motion and recorded it, using the term "retrograde motion" to describe this phenomenon.

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What are Cepheid variable stars?

A type of star that pulsates in brightness, with a period that is directly related to its luminosity. This relationship allows astronomers to measure distances in space.

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What is a supernova?

A powerful explosion of a star that releases a huge amount of energy and light. These are bright enough to be visible across vast distances, making them useful "standard candles" for measuring cosmological distances.

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What is acceleration?

The average rate of change in velocity over a period of time. It is a vector quantity, meaning it has both magnitude and direction.

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What is friction?

A force that opposes the motion of an object in contact with a surface. It acts in the direction opposite to the motion.

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What is weight?

The force with which an object is attracted towards the center of the Earth. It depends on the object's mass and the acceleration due to gravity.

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What is mass?

The tendency of an object to resist changes in its motion. It is a measure of an object's inertia.

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What is force?

A push or pull that can cause an object to accelerate. It is a vector quantity, meaning it has both magnitude and direction.

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How many atoms are in potassium dichromate (K2Cr2O7)?

Potassium dichromate (K2Cr2O7) is a compound formed from potassium (K), chromium (Cr), and oxygen (O). Counting the atoms in each element, we get 2 potassium, 2 chromium, and 7 oxygen atoms, totaling 11 atoms.

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What is a rate law?

The rate law of a reaction is an equation that describes the relationship between the rate of the reaction and the concentration of reactants. It is determined experimentally, not from the balanced chemical equation.

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What is the difference between an electrolytic cell and a galvanic cell?

An electrolytic cell uses electrical energy to drive a non-spontaneous chemical reaction, meaning it requires energy to proceed. A galvanic cell, on the other hand, is a spontaneous electrochemical cell, meaning it generates electrical energy from a chemical reaction.

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What is an empirical formula?

Empirical formula is the simplest whole-number ratio of atoms in a compound. It represents the basic building block for a molecule.

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Are there undiscovered elements in the periodic table?

The periodic table is a systematic arrangement of elements, but it's not set in stone. There could be undiscovered elements, potentially with unique properties, residing in gaps or beyond the current table's boundaries.

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Why does it take a lot of heat to raise the temperature of water?

Specific heat is the amount of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius. Water has a relatively high specific heat, meaning it takes a lot of energy to change its temperature.

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Why does it require more heat to raise the temperature of hotter water by one degree?

Heat energy is required to raise the temperature of water. As water gets hotter, its kinetic energy increases, causing more collisions and a greater demand for energy to further increase the temperature. This is why it takes more heat to increase the temperature of hotter water.

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Will the temperature of water continue to rise indefinitely as heat is added?

The boiling point of water at standard atmospheric pressure is 100°C. Adding more heat beyond this point will cause water to boil and eventually evaporate, not increase its temperature.

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Magnetic field in electron beam deflection

The magnetic field strength required to cause an electron moving at a certain velocity to follow a circular path with a specific radius.

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What is a meson?

A meson is a subatomic particle composed of a quark and an antiquark.

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Graph of final velocity vs. initial height in freefall

The graph of final velocity versus initial height for an object in freefall will have a positive slope, indicating that the final velocity increases as the initial height increases. The shape of the graph will resemble a square root function because the final velocity is proportional to the square root of the height.

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Resistance of a wire

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area.

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Resistivity of a wire material

Resistivity is a material property indicating how strongly a material resists the flow of electric current. It is calculated by multiplying the resistance of the wire by its cross-sectional area and dividing by its length.

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Resistivity

The ability of a substance to conduct electricity. Measured in ohm meters (Ωm).

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Electric Field Strength

The force exerted on a unit charge in an electric field. Measured in Newtons per Coulomb (N/C).

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Electric Flux Density

The ratio of the electric field strength (E) to the permittivity of free space (ε0). Measured in Coulombs per square meter (C/m²).

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Capacitance

The ability of a material to store electrical energy. Measured in Farads (F).

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Power

The rate at which energy is transferred. Measured in Watts (W).

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Resistance

The ratio of the potential difference (V) across a device to the current (I) flowing through it. Measured in Ohms (Ω).

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Current

The flow of electrical charge. Measured in Amperes (A).

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Voltage

The potential difference (V) between two points in an electric circuit. Measured in Volts (V).

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Potential difference

The work done to move a unit charge between two points. Measured in Joules per Coulomb (J/C).

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Characteristic Impedance

The ratio of magnetic flux density (B) to the electric field strength (E). Measured in seconds per meter (s/m).

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Study Notes

General Directions

  • Ninety minutes is ample time to complete the science contest, but two hours are allowed.
  • Students may finish an answer if they are writing when the time is up.
  • Answer sheets must be completed with answers in the assigned blanks.
  • Notes can be taken on the test paper, except the answer sheet.
  • Additional scratch paper is available from the contest director.
  • Each question has only one correct answer, incorrect answers result in a penalty.
  • Omitting a question results in no point gain or loss.
  • A periodic table and scientific relationships are provided.
  • Silent, non-graphing calculators allowed, no memory cards.
  • Each student may bring a spare calculator which must be cleared of all memories.
  • Correct answers receive 6 points; unanswered questions receive no points; incorrect answers subtract 2 points.

Biology

  • Organisms of the same order belong to the same family.
  • The integumentary system has no known function in preventing microbial invaders.
  • Homozygous recessive organisms cannot have progeny with a homozygous recessive genotype.
  • Light-harvesting pigments (for photosynthesis) are in the thylakoid membranes.
  • The plasma membrane does not contain ribosomes.
  • The eukaryotic cell cycle's nuclear division phases are Prophase, Metaphase, Anaphase, Telophase, and Cytokinesis.
  • Dinosaurs went extinct 65.5 million years ago, and mammals evolved rapidly afterwards.

Chemistry

  • The molar mass of magnetite (Fe₃O₄) is 231.55 g/mol.
  • The balanced equation for the complete combustion of butane (C₄H₁₀) has a coefficient sum of 22.
  • Strontium's ground state electron configuration is 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²
  • The compound with exactly one unshared pair of valence electrons is PH₃.
  • Absolute zero is -273.15°C or 0 K.
  • In a mercury thermometer, the rising mercury level is due to the mercury atoms spreading further apart with increasing temperature.
  • An ideal gas law fails at high pressures or low temperatures.

Physics

  • The Babylonians observed Mars's backward motion.
  • Hubble used supernovae to measure distances to faraway galaxies.
  • A modern technology heavily relied on Einstein's theories is the Global Positioning System.
  • Venus has an axis of rotation nearly perpendicular to its orbital plane.
  • The acceleration of an object of mass 500 g on a spring with a period of 0.390 seconds is 130N/m
  • The gauge pressure at the bottom of a 3.80 m vat of cooking oil (density 0.91 g/cm³) is 0.335 atm.
  • The current through a 27.0 Ω resistor in series with a 47.0 Ω resistor and powered by a 12.0V battery is 162 mA.
  • The force acting between a balloon with a -12.0 nC charge and a Van de Graff generator with a +90.0 µC charge, separated by 45.0 cm is 0.048 N.
  • The magnetic field strength required to cause an electron beam to trace a circle of 22cm radius and a velocity of 4.5x10⁵ m/s is 11.6 μΤ.
  • The wavelength of a photon emitted by a hydrogen atom transitioning from n = 5 to n = 3 is 1282 nm.
  • The graph of final velocity (v) versus initial height (h) for an object thrown from a certain height would be a square root function (y=√x)

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