What functional group is present in esters?

Correct Answer: C

Rationale: The functional group present in esters is -COO-, which represents a carbonyl group bonded to an oxygen atom. This group is responsible for the characteristic fruity aroma of esters. Choice A, 'Hydroxyl,' refers to -OH, which is a characteristic group of alcohols, not esters. Choice B, 'Carbonyl,' is a broad term that includes various compounds with a C=O group, but specifically in esters, it is a carbonyl group bonded to an oxygen atom. Choice D, 'Amine,' refers to compounds containing a nitrogen atom bonded to hydrogen atoms or alkyl groups, which is not present in esters. Therefore, the correct answer is 'C: Ester.'

Correct Answer: A

Rationale: The correct answer is Amplitude. Amplitude is the property of a wave that determines its loudness in sound waves. The greater the amplitude of a sound wave, the louder the sound will be perceived. Wavelength and frequency are related to the pitch of the sound, with wavelength affecting the tone quality and frequency determining the pitch. Speed, on the other hand, is a characteristic of how fast the wave travels through a medium and does not directly influence the loudness of the sound.

Correct Answer: A

Rationale: The correct answer is that the frequency and wavelength of a wave are inversely proportional. This relationship is defined by the wave equation: speed = frequency x wavelength. When the frequency of a wave increases, its wavelength decreases, and vice versa. This means that as one quantity increases, the other decreases in a consistent manner, illustrating an inverse relationship between frequency and wavelength. Choice B, 'Directly proportional,' is incorrect because an increase in frequency does not lead to an increase in wavelength; they move in opposite directions. Choice C, 'No relationship,' is incorrect as frequency and wavelength are interconnected as described above. Choice D, 'Dependent on the medium,' is incorrect because the relationship between frequency and wavelength is a fundamental property of waves and is not solely determined by the medium through which the wave propagates.

Correct Answer: B

Rationale: The energy of a wave is determined by its amplitude, which is the measure of its maximum displacement from the equilibrium position. Waves with higher amplitudes carry more energy as energy is directly proportional to amplitude. Therefore, the correct answer is B) Amplitude. Choice A (Wavelength) does not determine the energy of a wave; it is related to the spatial length between wave crests. Choice C (Frequency) is not the property that determines a wave's energy; it refers to the number of complete oscillations a wave undergoes in a given time. Choice D (Velocity) is the speed at which a wave propagates through a medium and is not directly related to its energy.

Correct Answer: A

Rationale: The wavelength of a wave represents the distance between two successive identical points on a wave, such as two crests or two troughs. It is typically measured in meters and is a fundamental characteristic of a wave, influencing its properties and behavior. Wavelength is crucial in wave physics, affecting phenomena like interference, diffraction, and the wave's speed in a medium. Amplitude refers to the maximum displacement of a wave from its rest position, frequency is the number of complete oscillations a wave makes in a given time, and period is the time it takes for a wave to complete one full cycle. These properties are different from wavelength and serve distinct purposes in describing waves.