Which type of isomerism arises due to differences in the arrangement of atoms around a double bond?

Correct Answer: C

Rationale: Cis-trans isomerism, also known as geometric isomerism, arises due to differences in the arrangement of atoms around a double bond. In cis isomers, similar groups are on the same side of the double bond, while in trans isomers, similar groups are on opposite sides of the double bond. This type of isomerism is a subset of stereoisomerism, which includes all isomers that have the same connectivity but differ in spatial arrangement. Chain isomerism involves differences in the carbon chain arrangement, functional group isomerism involves different functional groups, and stereoisomerism is a broader category that encompasses isomers with the same connectivity but different spatial arrangement.

Correct Answer: A

Rationale: Light travels at its highest speed in a vacuum. However, among the options provided, air is the closest medium to a vacuum, making it the correct answer. In general, light travels slower in denser mediums due to interactions with atoms and molecules in the medium. Water, glass, and diamond are denser mediums compared to air, causing light to propagate at slower speeds in these materials, hence making them incorrect choices.

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.

Correct Answer: B

Rationale: The correct answer is B: 'The binding energy released during the fusion of light nuclei.' Nuclear fusion involves the combination of light nuclei to form a heavier nucleus, releasing energy in the process. This energy arises from the binding energy that keeps the nucleus intact. As lighter nuclei fuse, they create a more stable nucleus, and the excess energy is emitted as radiation. This fundamental process is the primary source of energy in stars and holds promise as a potential future energy source on Earth. Choices A, C, and D are incorrect. Choice A, 'The fission of heavy nuclei,' is related to nuclear fission, not fusion. Choice C, 'Electronic transitions within atoms,' refers to energy release in atomic transitions, not nuclear fusion. Choice D, 'Matter-antimatter annihilation,' is a process where matter and antimatter collide, converting their mass into energy, but it is not the energy source for nuclear fusion.

Correct Answer: C

Rationale: During nuclear transmutation, a target nucleus is bombarded with a particle to create an entirely new element. This process involves changing the number of protons in the nucleus, resulting in the creation of a different element. Options A and B are incorrect because nuclear transmutation leads to the formation of a new element, not a heavier or lighter isotope of the same element. Option D, a chain reaction of nuclear fission, is incorrect as nuclear transmutation involves the direct conversion of one element into another through bombardment with particles, not the initiation of a fission chain reaction.