A spring with a spring constant of 100 N/m is stretched 0.2 m from its equilibrium position. What is the potential energy stored in the spring?

Correct Answer: C

Rationale: Failed to generate a rationale of 500+ characters after 5 retries.

Correct Answer: C

Rationale: Rainbows are formed due to the refraction and dispersion of sunlight by 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 dispersion of light into its component colors creates the beautiful rainbow we see in the sky. Choice A, diffraction, involves bending of light around obstacles or through narrow openings, not the splitting of light into colors as seen in rainbows. Choice B, interference, refers to the phenomenon where two or more light waves overlap and interact, producing a pattern of light and dark bands, which is not the case with rainbows. Choice D, reflection from clouds, does not accurately describe the process involved in the formation of rainbows through refraction and dispersion of light by water droplets.

Correct Answer: A

Rationale: The half-life of a radioactive isotope is the time it takes for half of the initial sample to decay. After one half-life, half of the radioactive atoms have decayed. The decay rate, however, refers to the rate at which radioactive atoms decay, which is not directly related to the half-life. Choice B is incorrect because it does not correctly define the half-life. Choice C is incorrect as it refers to the creation of new isotopes, not the decay process. Choice D is incorrect as it describes the energy released during decay, which is not the same as the concept of half-life.

Correct Answer: B

Rationale: Homozygous refers to an organism with two identical alleles for a gene, either both dominant or both recessive. Heterozygous, the correct answer, refers to an organism with two different alleles for a gene, one dominant and one recessive. Dominant and recessive describe the relationship between alleles, where dominant alleles are expressed over recessive alleles in heterozygous individuals. Therefore, the term for an organism with two different alleles for a gene is 'heterozygous.'

Correct Answer: D

Rationale: A) Karyotyping is a genetic test that examines an individual's chromosomes to detect abnormalities such as extra or missing chromosomes. It is not typically used to reveal an individual's susceptibility to certain diseases. B) Pharmacogenomics is the study of how genes affect a person's response to drugs. It focuses on how genetic variations can influence drug response, rather than susceptibility to diseases. C) Paternity testing is a genetic test used to determine the biological relationship between a child and an alleged father. It is not used to reveal an individual's susceptibility to diseases. D) Microarray analysis is a type of genetic testing that can reveal an individual's susceptibility to certain diseases by analyzing variations in their DNA. It can identify genetic markers associated with increased risk for specific conditions, allowing for personalized risk assessment and preventive measures.