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A guitar string vibrates at a fundamental frequency of 440 Hz. What is the frequency of the second harmonic (first overtone)?
- A. 220 Hz
- B. 440 Hz
- C. 880 Hz
- D. 1760 Hz
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.
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Which of the following substances can donate a hydroxide ion (OH-) in solution?
- A. Salt
- B. Base
- C. Neutral compound
- D. Dehydrating agent
Correct Answer: B
Rationale: The correct answer is B: Base. A base is a substance that can donate hydroxide ions (OH-) in solution. Bases increase the concentration of hydroxide ions by either accepting protons (H+) or donating hydroxide ions. Salts are ionic compounds made of cations and anions, which do not directly donate hydroxide ions. Neutral compounds do not significantly affect the concentration of hydroxide ions. Dehydrating agents are substances that remove water molecules from other compounds, unrelated to donating hydroxide ions.
Which property of a substance describes its ability to conduct heat or electricity?
- A. Reactivity
- B. Conductivity
- C. Density
- D. Viscosity
Correct Answer: B
Rationale: Conductivity is the correct property that describes a substance's ability to conduct heat or electricity. Reactivity is related to how readily a substance undergoes chemical reactions, not its ability to conduct heat or electricity. Density refers to the mass per unit volume of a substance, which is different from its ability to conduct heat or electricity. Viscosity measures a substance's resistance to flow, not its ability to conduct heat or electricity.
In the reaction 4Al + 3O2 → 2Al2O3, what is the mole ratio of aluminum to oxygen?
- A. 4:3
- B. 2:3
- C. 3:2
- D. 3:4
Correct Answer: A
Rationale: The balanced chemical equation shows that 4 moles of aluminum react with 3 moles of oxygen to produce 2 moles of aluminum oxide. Therefore, the mole ratio of aluminum to oxygen is 4:3. Choice B (2:3) is incorrect because it does not reflect the correct ratio based on the balanced equation. Choice C (3:2) and Choice D (3:4) are also incorrect as they do not represent the correct mole ratio of aluminum to oxygen according to the balanced chemical equation.
Why is the stratified squamous epithelium found in the skin adapted for?
- A. Absorption
- B. Secretion
- C. Protection
- D. Gas exchange
Correct Answer: C
Rationale: The stratified squamous epithelium found in the skin is adapted for protection. This type of epithelium forms a tough, protective barrier against physical, chemical, and biological damage. Its multiple layers of cells help prevent the entry of pathogens and reduce water loss from the body, making it essential for shielding the underlying tissues. Choices A, B, and D are incorrect because stratified squamous epithelium is not specialized for absorption, secretion, or gas exchange. Instead, its primary function is to protect the underlying tissues and organs from external damage and dehydration.
Dendrites are finger-like extensions found on
- A. Muscle cells
- B. Connective tissue cells
- C. Neurons
- D. Epithelial cells
Correct Answer: C
Rationale: Dendrites are the branched extensions of neurons that receive signals from other neurons and transmit those signals to the cell body. They play a crucial role in the communication process within the nervous system, allowing neurons to communicate with each other and integrate incoming signals to generate responses. The other choices are incorrect because dendrites specifically belong to neurons, not muscle cells, connective tissue cells, or epithelial cells.