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 property of a substance remains constant regardless of changes in its shape or size?

Correct answer: A

Rationale: Mass is a measure of the amount of matter in an object and remains constant regardless of changes in its shape or size. Weight, density, and volume can all change depending on the conditions, but mass remains the same. For example, if you have a piece of clay and you shape it into a ball or flatten it into a pancake, the amount of clay (mass) will remain the same, even though the shape and size have changed. Weight is the force acting on an object due to gravity, which can vary depending on the gravitational pull. Density is the mass per unit volume, so it changes with variations in volume. Volume is the amount of space occupied by an object, which can change if the shape or size of the object is altered.

3. The adrenal glands are part of which system?

Correct answer: B

Rationale: The correct answer is B: Endocrine system. The adrenal glands are part of the endocrine system, not the immune, lymphatic, or respiratory system. The endocrine system is responsible for producing and regulating hormones that control various bodily functions. The adrenal glands specifically produce hormones like cortisol and adrenaline, which are critical for the body's response to stress and metabolic processes. The immune system is responsible for defending the body against infections and diseases, the lymphatic system is involved in immunity and fluid balance, and the respiratory system is responsible for gas exchange in the body. Therefore, choices A, C, and D are incorrect in the context of the adrenal glands.

4. Which of the following salt solutions is most likely to conduct electricity well?

Correct answer: B

Rationale: A concentrated solution of a strong electrolyte is most likely to conduct electricity well. Strong electrolytes completely dissociate into ions in solution, allowing for the flow of electric current. This high concentration of ions in the solution enhances its conductivity, making it a better conductor compared to other options. A saturated solution, although containing dissolved ions, may not have a high enough concentration to conduct electricity effectively. A dilute solution of a weak acid is a poor conductor as weak acids only partially dissociate into ions. A mixture of a neutral compound and water does not contain free ions necessary for conducting electricity.

5. Which term describes the resistance of a substance to being hammered into different shapes?

Correct answer: C

Rationale: Malleability is the property that allows a substance to be hammered or rolled into thin sheets without breaking. It is the opposite of brittleness. Ductility refers to the ability of a material to be drawn into thin wires, not hammered into shapes. Viscosity is the measure of a fluid's resistance to flow, indicating how thick or sticky it is, not related to shaping by hammering. Conductivity refers to the ability of a material to conduct electricity or heat, not resistance to being hammered into different shapes.

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