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. What is the primary function of the small intestine?

Correct answer: B

Rationale: The correct answer is B: "To absorb nutrients." The small intestine's primary function is to absorb nutrients from digested food. It plays a crucial role in the digestion and absorption of nutrients such as proteins, carbohydrates, fats, vitamins, and minerals, which are essential for the body's functions and energy production. Choice A, "To absorb water," is incorrect because the absorption of water primarily occurs in the large intestine. Choice C, "To store waste," is incorrect as waste is stored in the large intestine before elimination. Choice D, "To produce enzymes," is incorrect because while the small intestine does receive enzymes from other organs to aid in digestion, its primary role is not enzyme production.

3. Which type of joint allows for the most movement?

Correct answer: A

Rationale: The correct answer is A: Ball-and-socket joint (shoulder). Ball-and-socket joints, exemplified by the shoulder joint, provide the widest range of movement among joint types. These joints facilitate flexion, extension, abduction, adduction, and rotation, allowing for versatile mobility. In a ball-and-socket joint, the rounded end of one bone fits into the socket of another bone, enabling extensive motion capabilities. Choice B, Hinge joint (elbow), allows movement in one plane, limiting its range compared to ball-and-socket joints. Choice C, Fibrocartilaginous joint (wrists), like the intervertebral discs, is meant for stability rather than extensive movement. Choice D, Suture joint (skull), found in the skull bones, is immovable and provides structural support rather than movement.

4. How many molecules of NADPH and ATP are required to reduce 6 molecules of CO2 to glucose via photosynthesis?

Correct answer: B

Rationale: During photosynthesis, 12 molecules of NADPH and 18 molecules of ATP are required to reduce 6 molecules of CO2 to glucose. NADPH and ATP are essential energy carriers in the process of photosynthesis. Choice A is incorrect because it underestimates the required molecules of both NADPH and ATP. Choices C and D overestimate the number of molecules needed, making them incorrect answers.

5. Which biome is characterized by cold temperatures, permafrost, and coniferous trees?

Correct answer: A

Rationale: A) Tundra: This biome is characterized by cold temperatures, permafrost (permanently frozen subsoil), and vegetation such as mosses, lichens, and coniferous trees like spruce and fir. The tundra is found in high latitudes near the Arctic Circle and high altitudes in mountainous regions. It is a cold and harsh environment where the ground remains frozen for a significant part of the year. The coniferous trees in this biome are adapted to survive in extreme cold conditions. B) Desert: Deserts are characterized by low precipitation levels and high temperatures, with sparse vegetation adapted to arid conditions. C) Rainforest: Rainforests are characterized by high levels of rainfall, warm temperatures, and dense vegetation with a variety of plant and animal species. D) Savanna: Savannas are tropical grasslands with scattered trees and shrubs, characterized by a distinct wet and dry season. They have a different climate pattern compared to the cold temperatures and permafrost found in the tundra biome. In this case, the description of cold temperatures, permafrost, and coniferous trees aligns most closely with the characteristics of the tundra biome, making option A the correct answer.

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