what is the relationship between the wavelength and frequency f of a wave with a constant speed v
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ATI TEAS 7

Mometrix TEAS 7 science practice test

1. What is the relationship between the wavelength (λ) and frequency (f) of a wave with a constant speed (v)?

Correct answer: A

Rationale: The relationship between wavelength (λ), frequency (f), and speed (v) of a wave is given by the formula λ = v / f. This formula is derived from the wave equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. By rearranging the equation, we get λ = v / f, indicating that the wavelength is inversely proportional to the frequency when the speed of the wave is constant. Therefore, choice A, λ = v / f, correctly represents the relationship between wavelength and frequency when the speed of the wave is held constant. Choice B, λ = f / v, is incorrect because it represents an inverse relationship between wavelength and speed, which is not the case. Choice C, λ = vf, is incorrect as it implies a direct relationship between wavelength, frequency, and speed, which is not accurate. Choice D, λ is independent of f and v, is incorrect as both frequency and speed affect the wavelength of a wave, as shown by the correct formula λ = v / f.

2. A pendulum swings back and forth. What type of energy conversion occurs during its motion?

Correct answer: A

Rationale: As the pendulum swings back and forth, it undergoes a continuous conversion between potential energy (at the highest point of the swing) and kinetic energy (at the lowest point of the swing). At the highest point, the pendulum has maximum potential energy due to its height above the ground. As it swings down, this potential energy is converted into kinetic energy, which is the energy of motion. At the lowest point of the swing, the pendulum has maximum kinetic energy and minimal potential energy. The process repeats as the pendulum swings back in the opposite direction, demonstrating the conversion between potential and kinetic energy. Choices B, C, and D are incorrect because the energy conversion in a swinging pendulum primarily involves changes between potential and kinetic energy, not thermal, chemical, electrical, nuclear, or radiant energy.

3. Which property describes a substance's resistance to flow?

Correct answer: B

Rationale: Viscosity is the property that describes a substance's resistance to flow. A substance with high viscosity flows slowly, while a substance with low viscosity flows quickly. Density (A) is the measure of mass per unit volume; conductivity (C) is the ability of a material to conduct electricity or heat, and reactivity (D) refers to how readily a substance undergoes chemical reactions. Therefore, the correct answer is B, viscosity, as it directly relates to a substance's resistance to flow.

4. 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.

5. Which of the following organs is responsible for the mechanical breakdown of food into smaller pieces?

Correct answer: D

Rationale: The correct answer is D: Mouth. The mouth is responsible for the mechanical breakdown of food through chewing and mixing with saliva. This process is essential for breaking down food into smaller, more digestible pieces before swallowing. The esophagus (choice A) is a muscular tube that transports food from the mouth to the stomach and does not participate in the mechanical breakdown of food. The stomach (choice B) primarily functions to further break down food using acids and enzymes, rather than mechanical means. The small intestine (choice C) is responsible for absorbing nutrients from the digested food, not for the mechanical breakdown of food.

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