what is the relationship between the frequency and wavelength of a wave
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ATI TEAS 7

Mometrix TEAS 7 science practice test

1. How are the frequency and wavelength of a wave related?

Correct answer: A

Rationale: The correct answer is that the frequency and wavelength of a wave are inversely proportional. This relationship is defined by the wave equation: speed = frequency x wavelength. When the frequency of a wave increases, its wavelength decreases, and vice versa. This means that as one quantity increases, the other decreases in a consistent manner, illustrating an inverse relationship between frequency and wavelength. Choice B, 'Directly proportional,' is incorrect because an increase in frequency does not lead to an increase in wavelength; they move in opposite directions. Choice C, 'No relationship,' is incorrect as frequency and wavelength are interconnected as described above. Choice D, 'Dependent on the medium,' is incorrect because the relationship between frequency and wavelength is a fundamental property of waves and is not solely determined by the medium through which the wave propagates.

2. Which phenomenon describes the separation of light into its component colors when passing through a prism?

Correct answer: C

Rationale: Dispersion is the phenomenon that describes the separation of light into its component colors when passing through a prism. When white light enters a prism, it is refracted at different angles depending on its wavelength, causing the colors to spread out. Refraction is the bending of light as it passes from one medium to another, not the separation of colors. Diffraction is the bending of light around obstacles, not the separation of colors. Reflection is the bouncing back of light rays from a surface, not the separation of colors. In the context of a prism, dispersion plays a key role in the creation of a spectrum of colors by separating the different wavelengths present in white light.

3. During a scientific investigation, what is intentionally changed or manipulated?

Correct answer: D

Rationale: During a scientific investigation, the independent variable is intentionally changed or manipulated by the researcher to observe its impact or effect on the dependent variable. The independent variable is the one being tested or studied to see how it influences the dependent variable. In contrast, the dependent variable is the outcome or response that is measured in an experiment and is expected to change as a result of the manipulation of the independent variable. Choices A, B, and C are not directly altered during a scientific investigation but play different roles in the research process. Therefore, the correct answer is D - the independent variable.

4. Which term refers to a position farther from the midline of the body? For example, the little toe is lateral to the big toe on the same foot.

Correct answer: A

Rationale: The correct answer is A: Lateral. Lateral refers to a position farther away from the midline of the body. In the example provided, the little toe is indeed lateral to the big toe on the same foot. This is in contrast to 'medial,' which means closer to the midline. 'Proximal' refers to a position closer to the point of attachment or the trunk of the body, while 'distal' refers to a position farther from the point of attachment or the trunk of the body.

5. What is the difference between constructive and destructive interference of waves?

Correct answer: B

Rationale: Constructive interference and destructive interference are two phenomena that occur when waves interact. Constructive interference leads to an increase in wave amplitude when two waves meet in phase, resulting in the alignment of peaks and troughs. This alignment results in the combined wave having a higher amplitude. On the other hand, destructive interference causes a decrease in amplitude as two waves meet out of phase, leading to their cancellation. When peaks align with troughs, they cancel each other out, resulting in a lower overall amplitude. This difference in effect on wave amplitude distinguishes between constructive and destructive interference. Choice A is incorrect because it does not specify the direction of change in amplitude for each type of interference. Choice C is incorrect as both constructive and destructive interference can occur in various types of waves, not affecting them differently based on wave type. Choice D is incorrect because while the relative phase of waves does determine the interference type, it is the amplitude that is affected by constructive and destructive interference, not the wave speed.

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