HS Sample Set 9, Round 9 from NSB
A difference of 10 decibels corresponds to what ratio of sound intensities?
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A battery produces an electrical current of 100 milliamps when connected to a circuit with a resistance of 60 Ohms. The battery is then connected to a 250 millifarad capacitor. How many joules of energy are stored by the capacitor?
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In a triple-elimination tournament with 512 contestants, what is the maximum number of games played if there are no ties?
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A square ABCD has a side length of 10. Point E lies on BC and the area of triangle ABE is 40. What is the length of BE? W) 5 X) 6 Y) 7 Z) 8
W: W) 5
X: X) 6
Y: Y) 7
Z: Z) 8
Answer: Z) Z) 8
A force is conservative when the work done by the force: W) On a closed path is zero X) On an open path is zero Y) Is dependent on the path Z) Conserves energy
W: W) On a closed path is zero
X: X) On an open path is zero
Y: Y) Is dependent on the path
Z: Z) Conserves energy
Answer: W) W) On a closed path is zero
Consider 0.5 moles of an ideal gas undergoing isobaric expansion from 253 K to 353 K. Assuming the ideal gas constant is 8.314 J·mol⁻¹·K⁻¹, how much work, in joules rounded to the nearest tenth, is done by the gas?
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On a weather map, what type of front is represented by a line with red semicircles extending from one side?
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What are the two most abundant elements in the Earth’s crust?
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What chemical element, that occurs in various forms, is used as a mordant in Gram testing, is used to detect sugar in Lugol’s solution, and is required for proper thyroid function?
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What specific cell type in the stomach is responsible for production of hydrochloric acid in response to stimulation by gastrin?
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What is the chemical formula of baking soda?
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Which of the following elements can stably bond with three atoms, leaving it with an empty p orbital? W) Sulfur X) Oxygen Y) Boron Z) Helium
W: W) Sulfur
X: X) Oxygen
Y: Y) Boron
Z: Z) Helium
Answer: Y) Y) Boron
If a particle’s position is defined by the functions x = cos t and y = sin t, what conic section describes the overall shape of the particle’s path?
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A 6 kg box slides from rest down a frictionless ramp inclined at 30°. If the box descends a vertical height of 1.20 m, to the nearest meter per second, what is its speed at the bottom?
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Which of the following is the primary form through which energy is stored in the liver? W) Triglycerides X) Glucose Y) Amylose Z) Glycogen
W: W) Triglycerides
X: X) Glucose
Y: Y) Amylose
Z: Z) Glycogen
Answer: Z) Z) Glycogen
Betz’s Law is used to determine the theoretical power captured by a turbine for what natural resource?
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MRSA is an infection by which of the following? W) A rod-shaped bacterium X) A rigid helical bacterium Y) A non-rigid helical bacterium Z) A spherical bacterium
W: W) A rod-shaped bacterium
X: X) A rigid helical bacterium
Y: Y) A non-rigid helical bacterium
Z: Z) A spherical bacterium
Answer: Z) Z) A spherical bacterium
What type of intercellular junction binds intestinal epithelia so that fluids will not seep between them?
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For a Ferris wheel that rotates clockwise, what are the directions of the centripetal acceleration and the linear velocity of a cart at the top of the wheel?
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What is the name of the experiment conducted in the early 1900’s in which electrons were directed at a crystal and then scattered, yielding a wavelength that agreed with the de Broglie formula?
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How many values of x satisfy the equation \[ x - 2 \;=\;\frac{2x^2 - 8x}{x^2 - 4x}? \] W) Zero X) One Y) Two Z) Three
W: W) Zero
X: X) One
Y: Y) Two
Z: Z) Three
Answer: W) W) Zero
If July had five Mondays, August must have had five of what day?
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Which of the following statements regarding reaction intermediates is true? W) There is precisely one reaction intermediate in a one-step reaction X) Reaction intermediates are local minima on the reaction-coordinate diagram Y) Reaction intermediates are synonymous with activated complexes Z) The concentrations of reaction intermediates cannot influence reaction rate
W: W) There is precisely one reaction intermediate in a one-step reaction
X: X) Reaction intermediates are local minima on the reaction-coordinate diagram
Y: Y) Reaction intermediates are synonymous with activated complexes
Z: Z) The concentrations of reaction intermediates cannot influence reaction rate
Answer: X) X) Reaction intermediates are local minima on the reaction-coordinate diagram
Which of the following compounds is produced by the Haber process? W) Sulfuric acid X) Ammonia Y) Sulfur dioxide Z) Nitric acid
W: W) Sulfuric acid
X: X) Ammonia
Y: Y) Sulfur dioxide
Z: Z) Nitric acid
Answer: X) X) Ammonia
Which of the following types of lava flows results when a volcano erupts underwater? W) Pahoehoe lava X) A’a lava Y) Pillow lava Z) Block lava
W: W) Pahoehoe lava
X: X) A’a lava
Y: Y) Pillow lava
Z: Z) Block lava
Answer: Y) Y) Pillow lava
In which city would you be able to see cirrus clouds at an altitude of 3,000 m above the surface? W) Ft. Lauderdale, Florida X) Honolulu, Hawaii Y) Barrow, Alaska Z) New York, New York
W: W) Ft. Lauderdale, Florida
X: X) Honolulu, Hawaii
Y: Y) Barrow, Alaska
Z: Z) New York, New York
Answer: Y) Y) Barrow, Alaska
Identify all of the following three compounds that one would find in an animal cell: 1) D-glucose; 2) L-alanine; 3) L-trehalose.
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Which of the following is not true regarding the development of multicellular organisms? W) Homeotic genes control pattern formation in the late embryo X) Proto-oncogenes are often involved in regulation of the cell cycle Y) Mutations in proto-oncogenes prevent cancer Z) Mutations in tumor suppressor genes often result in cancer
W: W) Homeotic genes control pattern formation in the late embryo
X: X) Proto-oncogenes are often involved in regulation of the cell cycle
Y: Y) Mutations in proto-oncogenes prevent cancer
Z: Z) Mutations in tumor suppressor genes often result in cancer
Answer: Y) Y) Mutations in proto-oncogenes prevent cancer
An aqueous solution of silver nitrate is added to an aqueous solution of potassium iodide. Which species will not appear in the net ionic equation? W) Aqueous silver ions X) Aqueous nitrate ions Y) Solid silver iodide Z) Aqueous iodide ions
W: W) Aqueous silver ions
X: X) Aqueous nitrate ions
Y: Y) Solid silver iodide
Z: Z) Aqueous iodide ions
Answer: X) X) Aqueous nitrate ions
At which of the following pH values is zinc hydroxide likely to be most soluble? W) 2 X) 4 Y) 6 Z) 8
W: W) 2
X: X) 4
Y: Y) 6
Z: Z) 8
Answer: W) W) 2
Which of the following functions will have its $n$th derivative equal to 0 over its entire domain for sufficiently large $n$? W) $f(x) = x^{100} + \sin x$ X) $f(x) = x - x^{-1}$ Y) $f(x) = x^{1001} + x^{1000} + \dots + x^2 + x$ Z) $f(x) = \ln x - x^2$
W: W) $f(x) = x^{100} + \sin x$
X: X) $f(x) = x - x^{-1}$
Y: Y) $f(x) = x^{1001} + x^{1000} + \dots + x^2 + x$
Z: Z) $f(x) = \ln x - x^2$
Answer: Y) Y) $f(x) = x^{1001} + x^{1000} + \dots + x^2 + x$
The values of $y$ that satisfy the system \[ 2x^2 + 6x + 5y + 1 = 0,\quad 2x + y + 3 = 0 \] can be found by solving which equation? W) $y^2 + 14y - 7 = 0$ X) $y^2 + 10y - 7 = 0$ Y) $y^2 + 8y + 1 = 0$ Z) $y^2 + y - 12 = 0$
W: W) $y^2 + 14y - 7 = 0$
X: X) $y^2 + 10y - 7 = 0$
Y: Y) $y^2 + 8y + 1 = 0$
Z: Z) $y^2 + y - 12 = 0$
Answer: X) X) $y^2 + 10y - 7 = 0$
Using carbon-14 decay to determine the date of a material is an example of what technique?
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If you are located at 40° North latitude, when will the Sun appear directly overhead? W) Never X) Once a year Y) Twice a year Z) Four times a year
W: W) Never
X: X) Once a year
Y: Y) Twice a year
Z: Z) Four times a year
Answer: W) W) Never
A gas expands isothermally against a vacuum (external pressure = 0). Which of the following statements is not true? W) $\Delta E = 0$ X) $\Delta H = 0$ Y) $\Delta S = 0$ Z) No work is done by the gas
W: W) $\Delta E = 0$
X: X) $\Delta H = 0$
Y: Y) $\Delta S = 0$
Z: Z) No work is done by the gas
Answer: Y) Y) $\Delta S = 0$
By what factor will the net power radiated by a spherical blackbody be multiplied when its temperature is tripled?
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Which of the following types of animal viruses is responsible for hepatitis C? W) Papovirus X) Adenovirus Y) Retrovirus Z) Flavivirus
W: W) Papovirus
X: X) Adenovirus
Y: Y) Retrovirus
Z: Z) Flavivirus
Answer: Z) Z) Flavivirus
Which of the following is true regarding neural crest cells in the amphibian embryo? W) They induce formation of the notochord X) They develop into the main sections of the brain Y) They produce cells that migrate to form teeth and skull bones in the embryo Z) They roll up and form the neural tube
W: W) They induce formation of the notochord
X: X) They develop into the main sections of the brain
Y: Y) They produce cells that migrate to form teeth and skull bones in the embryo
Z: Z) They roll up and form the neural tube
Answer: Y) Y) They produce cells that migrate to form teeth and skull bones in the embryo
A positively charged tabletop may be approximated as an infinite plane producing a uniform electric field. A positively charged metal sphere levitates above it. Which parameter may be varied without upsetting the balance between gravity and electrostatic repulsion? W) The mass of the sphere X) The radius of the sphere Y) The charge of the sphere Z) The strength of the table’s field
W: W) The mass of the sphere
X: X) The radius of the sphere
Y: Y) The charge of the sphere
Z: Z) The strength of the table’s field
Answer: X) X) The radius of the sphere
A loop conductor lies partially in a magnetic field. Identify all changes that would produce a change in the magnetic flux: 1) Increase the strength of the magnetic field 2) Rotate the conductor, changing its angle with the field 3) Increase the area of the conductor in the field
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A student sees many side products on a silica TLC plate and decides to run column chromatography with the same mobile phase. What stationary phase should she use to most closely match the TLC conditions?
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According to molecular orbital theory, what is the bond order of ozone? W) 1 X) 1.5 Y) 2 Z) 2.5
W: W) 1
X: X) 1.5
Y: Y) 2
Z: Z) 2.5
Answer: X) X) 1.5
What term describes snow left over from the previous year that is intermediate between snow and glacial ice?
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For every 10 °C increase, by how many degrees does the temperature increase on the Fahrenheit scale?
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Evaluate the limit as $n\to\infty$ of the sequence whose $n$th term is $\displaystyle \frac{n^2}{3^n}$.
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What is the sum of the digits of the square of 111\,111\,111?
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