Nokea
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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What is the molar mass of Ca(NO3)2?
- A. 74.1 g/mol
- B. 132.1 g/mol
- C. 164.1 g/mol
- D. 78.1 g/mol
Correct Answer: B
Rationale: To calculate the molar mass of Ca(NO3)2, we add up the individual atomic masses of its elements: Ca (40.08) + 2N (2 * 14.01) + 6O (6 * 16.00) = 40.08 + 28.02 + 96.00 = 164.1 g/mol. Therefore, the correct answer is 164.1 g/mol (Choice C). Choice A (74.1 g/mol) is incorrect as it does not account for the correct sum of atomic masses. Choice B (132.1 g/mol) is the correct molar mass calculation for Ca(NO3)2. Choice D (78.1 g/mol) is incorrect and does not reflect the accurate molar mass of the compound.
Which of the following is NOT a part of a plant cell?
- A. Cell wall
- B. Plasma membrane
- C. Vacuole
- D. Mitochondria
Correct Answer: D
Rationale: A) Cell wall: This is a structure found in plant cells that provides support and protection.
B) Plasma membrane: Also known as the cell membrane, it surrounds the cell and regulates the passage of substances in and out of the cell.
C) Vacuole: This is a storage organelle found in plant cells that stores water, nutrients, and waste products.
D) Mitochondria: Mitochondria are membrane-bound organelles found in both plant and animal cells. They are responsible for producing energy in the form of ATP through cellular respiration.
Therefore, the correct answer is D) Mitochondria, as it is a part of a plant cell.
Which division of the nervous system is responsible for involuntary functions such as heart rate, digestion, and respiratory rate?
- A. Somatic nervous system
- B. Autonomic nervous system
- C. Peripheral nervous system
- D. Central nervous system
Correct Answer: B
Rationale: The autonomic nervous system is the correct answer. It is responsible for controlling involuntary functions such as heart rate, digestion, respiratory rate, and other automatic processes in the body. The somatic nervous system controls voluntary movements, making choice A incorrect. The peripheral nervous system consists of nerves outside the brain and spinal cord, which is not directly responsible for these involuntary functions, making choice C incorrect. The central nervous system includes the brain and spinal cord, but it is not primarily responsible for regulating involuntary functions, making choice D incorrect.
What determines the final velocity of a block sliding down a frictionless inclined plane?
- A. The length of the incline
- B. The angle of the incline
- C. The mass of the block
- D. All of the above
Correct Answer: B
Rationale: The final velocity of a block sliding down a frictionless inclined plane is determined by the angle of the incline. The angle directly impacts the acceleration of the block, affecting the final velocity it attains at the bottom. The length of the incline and the mass of the block do not play a direct role in determining the final velocity. Therefore, the correct answer is the angle of the incline (Choice B). Choices A and C are incorrect because the length of the incline and the mass of the block do not have a direct influence on the final velocity of the block in this scenario.
What phenomenon is responsible for the creation of rainbows?
- A. Reflection only
- B. Diffraction
- C. Refraction and reflection
- D. Polarization
Correct Answer: C
Rationale: Rainbows are created by both refraction and reflection of sunlight within water droplets in the atmosphere. When sunlight enters a water droplet, it is refracted, then internally reflected, and finally refracted again as it exits the droplet. This process causes the separation of light into its component colors and the formation of a rainbow. Choice A is incorrect because rainbows are not solely formed by reflection. Choice B, diffraction, is not the primary phenomenon responsible for rainbows. Choice D, polarization, is not directly involved in the creation of rainbows. Therefore, the correct answer is C.