How is power related to energy?

Correct Answer: B

Rationale: Energy is the capacity to do work, while power is the rate at which work is done or energy is transferred. Power is the amount of energy transferred or converted per unit time. Therefore, energy is related to power as the rate at which work is done. Choice A is incorrect because power and energy are not the same; they are related concepts but represent different aspects. Choice C is incorrect because power does not refer to stored energy but rather the rate of energy transfer. Choice D is incorrect because energy is not the rate at which power is transferred, but the capacity to do work or cause change.

Correct Answer: C

Rationale: Carboxylic acids contain the carboxyl functional group, which consists of a carbonyl group (C=O) and a hydroxyl group (-OH) attached to the same carbon atom. The carboxyl group is represented as -COOH in the molecular structure of carboxylic acids. Therefore, the correct functional group present in carboxylic acids is the carboxyl group, making option C the correct choice. Option A, 'Carbonyl,' is incorrect as it only refers to the C=O group without the -OH component present in carboxylic acids. Option B, 'Hydroxyl,' is incorrect as it only represents the -OH group without the carbonyl group. Option D, 'Aldehyde,' is incorrect as it refers to a different functional group with a carbonyl group attached to a hydrogen atom, not the carboxyl group found in carboxylic acids.

Correct Answer: D

Rationale: The correct answer is D. When a guitar string vibrates to produce sound, the energy transformation that occurs is from potential energy (stored energy in the string when it is stretched) to kinetic energy (energy of motion as the string vibrates back and forth). As the string vibrates, its kinetic energy is transferred to the surrounding air molecules, producing sound energy. Choices A, B, and C are incorrect. Choice A, mechanical energy to thermal energy, does not align with the energy transformation involved in producing sound from a vibrating guitar string. Choice B, kinetic energy to potential energy, is the opposite of what happens when a guitar string vibrates. Choice C, electrical energy to sound energy, is not relevant to the energy conversion process in this scenario.

Correct Answer: D

Rationale: The correct general formula for an alcohol is CnH2n+1OH, which can be simplified to CnH2nO. In this formula, 'n' represents the number of carbon atoms, '2n' represents the number of hydrogen atoms, and 'O' represents the oxygen atom present in the hydroxyl group of the alcohol. Therefore, the correct general formula for an alcohol is CnH2nO. Choice A, CₙH₂ₙ, does not account for the oxygen atom, which is essential in alcohols. Choice B, CₙH₂ₙ₊₂, does not include the oxygen atom or the necessary hydrogen atoms for the hydroxyl group. Choice C, CₙH₂ₙ₋₁, lacks the oxygen atom and also does not fulfill the requirements of the hydroxyl group. Thus, the most accurate representation of the general formula for an alcohol is CnH2nO.

Correct Answer: C

Rationale: The term that describes the maximum displacement of particles from their rest position in a wave is called the amplitude. Amplitude is a measure of the strength or intensity of a wave and is represented by the height of the wave from the rest position to the crest (or trough) of the wave. Frequency (A) refers to the number of complete wavelengths that pass a point in a given time. Wavelength (B) is the distance between two consecutive crests (or troughs) of a wave. Velocity (D) is the speed of the wave, not the maximum displacement of particles from their rest position.