a guitar string vibrates at a fundamental frequency of 440 hz what is the frequency of the second harmonic first overtone
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ATI TEAS 7

TEAS Test 7 science

1. A guitar string vibrates at a fundamental frequency of 440 Hz. What is the frequency of the second harmonic (first overtone)?

Correct answer: C

Rationale: The second harmonic (first overtone) is twice the frequency of the fundamental frequency. Therefore, the frequency of the second harmonic is 440 Hz * 2 = 880 Hz. The second harmonic has a frequency that is one octave higher than the fundamental frequency, representing the first overtone of the vibrating string. Choice A (220 Hz) is incorrect as it represents half the fundamental frequency and is the second harmonic, not the first overtone. Choice B (440 Hz) is the fundamental frequency itself. Choice D (1760 Hz) is the frequency of the fourth harmonic, not the second harmonic.

2. Which process is characterized by nuclear fission?

Correct answer: A

Rationale: Nuclear fission is the process where a heavy nucleus, like uranium-235, captures a neutron, leading to its division into two lighter nuclei. This process releases a substantial amount of energy in the form of heat and gamma rays. It is utilized in nuclear power plants and atomic bombs due to its capacity to produce significant energy. Choices B, C, and D describe different nuclear processes: fusion of two nuclei to form a heavier element, emission of alpha particles from a lighter element through radioactive decay, and absorption of an electron by the nucleus with the release of a gamma ray, respectively. These processes are distinct from nuclear fission and do not involve the splitting of heavy nuclei into lighter ones.

3. Which of the following is a unit of work and energy?

Correct answer: B

Rationale: The correct answer is 'B: Kilowatt-hour (kWh).' The kilowatt-hour is a unit commonly used to measure electricity consumption, representing energy usage over time. A Pascal (Pa) is a unit of pressure, Coulomb (C) is a unit of electric charge, and Tesla (T) is a unit of magnetic flux density. Therefore, the kilowatt-hour is the appropriate unit for measuring work and energy in this context.

4. In an SN2 reaction, what affects the rate of the reaction?

Correct answer: D

Rationale: In an SN2 reaction, the rate of the reaction is affected by both the concentration of the nucleophile and the electrophile. The rate-determining step involves the nucleophile attacking the electrophile, so the concentrations of both species will impact the reaction rate. Increasing the concentration of the nucleophile increases the frequency of nucleophilic attacks, while increasing the concentration of the electrophile provides more opportunities for the nucleophile to react. Therefore, the correct answer is that both the concentration of the nucleophile and the electrophile affect the rate of the SN2 reaction. Choices A, B, and C are incorrect as they do not consider the interplay between the nucleophile and the electrophile in determining the overall reaction rate in an SN2 mechanism.

5. Muscle tissues often require quick bursts of energy. As a result, which of the following organelles would be most likely to be found in higher than normal amounts in muscle cells?

Correct answer: D

Rationale: Muscle tissues require quick bursts of energy for activities such as contraction and relaxation. Mitochondria are known as the powerhouse of the cell, producing energy in the form of ATP through cellular respiration. Therefore, muscle cells would require higher amounts of mitochondria to meet their energy demands. Ribosomes are involved in protein synthesis and are not directly related to energy production. Chloroplasts are found in plant cells and are responsible for photosynthesis, not in animal muscle cells. Vacuoles are primarily involved in storage, maintaining turgor pressure, and digestion, but they are not the main organelles involved in energy production.

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