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 correction should the student make to the hypothesis: Lengthening the string of the pendulum increases the time it takes the ball to make one complete period?

Correct answer: A

Rationale: The correct answer is A. A hypothesis should be structured as an 'if-then' statement for clarity. This format helps to clearly establish the relationship between the variables and the expected outcome. In this case, the student should frame the hypothesis in a way that if a specific action is taken (lengthening the string), then a specific outcome is expected (increasing the time it takes for the ball to make one complete period). 'If-then' statements are fundamental in hypothesis construction as they clearly define the cause and effect relationship being tested. Choice B is incorrect because changing 'will increase' to 'increases' does not address the structural issue of the hypothesis. Choice C is incorrect as switching the order of the sentence does not fundamentally alter the clarity of the hypothesis. Choice D is incorrect as the hypothesis structure can be improved for better understanding and testing, making correction necessary.

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. The kidneys are bean-shaped organs responsible for filtering waste products from the blood. What is the main nitrogenous waste product the kidneys eliminate?

Correct answer: C

Rationale: The correct answer is C, urea. Urea is the main nitrogenous waste product eliminated by the kidneys. It is produced in the liver from protein metabolism and excreted in urine. Carbon dioxide is eliminated through the lungs as a waste product of cellular respiration and not by the kidneys. Ammonia, a toxic waste product, is converted to urea in the liver before being excreted by the kidneys. Glucose is a sugar that is reabsorbed by the kidneys and not excreted as waste.

5. 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.

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