what is the relationship between the speed of a wave its frequency and wavelength in a given medium
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ATI TEAS 7

TEAS 7 science practice

1. What is the relationship between the speed of a wave, its frequency, and wavelength in a given medium?

Correct answer: A

Rationale: The speed of a wave in a given medium is determined by the product of its frequency and wavelength. This relationship is described by the formula: Speed = Frequency × Wavelength. When a wave travels through a medium, the speed at which it propagates is directly proportional to both its frequency and wavelength. Therefore, to calculate the speed of the wave, you multiply the frequency of the wave by its wavelength. Choices B, C, and D are incorrect because speed is not determined by division, addition, or subtraction of frequency and wavelength; instead, it is determined by their multiplication in the given medium.

2. What is an isotope? For any given element, it is an atom with which of the following?

Correct answer: D

Rationale: An isotope of an element is an atom with a different number of neutrons, resulting in a different mass number. Isotopes of the same element have the same number of protons (which determines the element's identity) but differ in the number of neutrons, leading to variations in mass numbers. Choice A is incorrect because isotopes of the same element have the same atomic number. Choice B is incorrect because isotopes of the same element have the same number of protons. Choice C is incorrect because isotopes of the same element have the same number of electrons.

3. What is the process of combining two or more substances to form a heterogeneous mixture called?

Correct answer: C

Rationale: The correct answer is 'Mixing.' When substances are combined, a heterogeneous mixture is formed where the components are physically distinguishable. 'Dissolving' (Choice A) is the process of a solute becoming uniformly dispersed in a solvent to form a solution, not a heterogeneous mixture. 'Diluting' (Choice B) refers to reducing the concentration of a solute in a solution. 'Reacting' (Choice D) involves a chemical change where substances interact to form new products, rather than just physically mixing to form a heterogeneous mixture.

4. What effect does a catalyst have on a chemical reaction?

Correct answer: A

Rationale: A catalyst is a substance that increases the rate of a chemical reaction without being consumed in the process. It works by providing an alternate pathway for the reaction to occur, lowering the activation energy needed for the reaction to proceed. As a result, more reactant molecules can overcome this energy barrier and participate in the reaction, leading to a faster overall reaction rate. This explanation contradicts choices B, C, and D as a catalyst does not slow down, reverse, or prevent a reaction; instead, it accelerates the reaction by facilitating a more efficient route for the reaction to take place. Therefore, the correct answer is that a catalyst speeds up the reaction.

5. What does nuclear binding energy represent?

Correct answer: B

Rationale: Nuclear binding energy represents the energy required to hold protons and neutrons together within a nucleus. This energy is needed to overcome the electrostatic repulsion between positively charged protons and keep the nucleus stable. Choices A, C, and D are incorrect. Choice A relates to ionization energy, which is the energy required to remove an electron from an atom. Choices C and D refer to nuclear reactions (fission and fusion), which involve processes different from the concept of nuclear binding energy.

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