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

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)?

A. 220 Hz
B. 440 Hz
C. 880 Hz
D. 1760 Hz

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 of the following statements describes a chemical property of water?

A. Water has a pH of 1.
B. A water molecule contains 2 hydrogen atoms and 1 oxygen atom.
C. A water molecule contains 2 oxygen atoms and 1 hydrogen atom.
D. The chemical formula for water is HO.

Correct answer: B

Rationale: The correct answer is B because a water molecule consists of two hydrogen atoms and one oxygen atom, which is a fundamental chemical property of water. The pH of water is not a property of the water molecule itself but rather a measure of its acidity or alkalinity. Choice C is incorrect as it describes a different molecule, not water. Choice D provides an incorrect chemical formula for water, which is H2O.

3. Which force opposes the relative motion between surfaces in contact?

A. Tension force
B. Frictional force
C. Gravitational force
D. Magnetic force

Correct answer: B

Rationale: The correct answer is B: Frictional force. Frictional force opposes the relative motion between surfaces in contact. When two surfaces are in contact and one tries to slide over the other, the frictional force resists this motion, making it harder for the surfaces to move relative to each other. Choice A, tension force, is incorrect because tension force is a force transmitted through a string, rope, cable, or wire when it is pulled tight by forces acting from opposite ends. Choice C, gravitational force, is incorrect as it is the force of attraction between two masses. Choice D, magnetic force, is incorrect as it is the force exerted between magnetic objects.

4. What ethical considerations are associated with the potential use of CRISPR-Cas9 technology in humans?

A. Concerns about unintended consequences on the genome and potential off-target effects.
B. Debates on modifying the human germline and potential eugenic implications.
C. Accessibility and affordability of the technology, ensuring equitable access to benefits.
D. Risks associated with CRISPR-Cas9 editing germline cells and potential long-term impacts.

Correct answer: B

Rationale: The correct answer is B. CRISPR-Cas9 technology allows precise editing of germline cells, raising ethical concerns about modifying the human gene pool. This includes potential eugenic implications, debates on altering future generations, and the moral implications of such genetic modifications. Choice A discusses unintended consequences and off-target effects, but the primary ethical consideration with CRISPR-Cas9 technology relates to altering the human germline. Choices C and D, while important factors, are not the central ethical dilemmas associated with using CRISPR-Cas9 technology in humans.

5. The Minimum Inhibitory Concentration (MIC) of an antibiotic refers to:

A. The lowest concentration that kills bacteria
B. The dose required for 50% bacterial inhibition
C. The time it takes for an antibiotic to work
D. The spectrum of bacteria the antibiotic targets

Correct answer: B

Rationale: A) The lowest concentration that kills bacteria is known as the Minimum Bactericidal Concentration (MBC), not the Minimum Inhibitory Concentration (MIC). MIC is the lowest concentration of an antibiotic that inhibits visible growth of bacteria. B) The MIC of an antibiotic is the concentration at which bacterial growth is inhibited by 50%. This concentration is used to determine the effectiveness of an antibiotic against a specific bacterium. C) The time it takes for an antibiotic to work is not described by the MIC. MIC is a measure of concentration, not time. D) The spectrum of bacteria the antibiotic targets is not defined by the MIC. The MIC value is specific to a particular antibiotic and bacterium, regardless of the spectrum of activity of the antibiotic.