Beta waves, associated with alertness and focused attention, typically fall within the range of:

Correct Answer: D

Rationale: Beta waves, associated with alertness and focused attention, typically fall within the range of 13-30 Hz. These waves are present when individuals are engaged in cognitive tasks, problem-solving, or focused mental activities. Options A, B, and C are incorrect because these frequency ranges are not characteristic of beta waves. Beta waves are higher in frequency and are associated with more active mental states compared to the ranges mentioned in options A, B, and C. Therefore, the correct answer is 13-30 Hz (Choice D).

Correct Answer: B

Rationale: Keratin is the correct answer as it is the hard, protective protein that comprises hair and nails. Collagen is a different type of protein found in connective tissues, providing structure and support. Elastin imparts elasticity to tissues, allowing them to stretch and recoil. Fibrin is a protein involved in the blood clotting process and is not related to the structure of hair and nails. Therefore, choices A, C, and D are incorrect in the context of the question.

Correct Answer: A

Rationale: The correct answer is A: Ligament. Ligaments are tough bands of tissue that connect bones to other bones at joints, providing stability and support. In the case of the wrist or ankle, ligaments play a crucial role in maintaining the structural integrity and allowing for proper movement of these joints. Tendons (option B) connect muscles to bones, not bones to bones. Fascia (option C) is a connective tissue that surrounds muscles and other structures, not connecting bones at joints. A synovial joint (option D) is a type of joint that allows for movement between bones, but it is not the flexible connection between bones at the wrist or ankle.

Correct Answer: A

Rationale: The relationship between wavelength (λ), frequency (f), and speed (v) of a wave is given by the formula λ = v / f. This formula is derived from the wave equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. By rearranging the equation, we get λ = v / f, indicating that the wavelength is inversely proportional to the frequency when the speed of the wave is constant. Therefore, choice A, λ = v / f, correctly represents the relationship between wavelength and frequency when the speed of the wave is held constant. Choice B, λ = f / v, is incorrect because it represents an inverse relationship between wavelength and speed, which is not the case. Choice C, λ = vf, is incorrect as it implies a direct relationship between wavelength, frequency, and speed, which is not accurate. Choice D, λ is independent of f and v, is incorrect as both frequency and speed affect the wavelength of a wave, as shown by the correct formula λ = v / f.

Correct Answer: A

Rationale: The density of a substance is calculated by dividing the mass of the substance by its volume. The formula for density is Density = Mass / Volume. This calculation allows us to determine how much mass is present in a given volume of a substance, making option A the correct choice. Choice B (Volume / Mass) is incorrect because density is defined as mass per unit volume, so mass should be the numerator. Choice C (Mass x Volume) is incorrect as this would result in a different unit of measurement and not represent density. Choice D (None of the above) is incorrect as there is a specific formula for calculating density, which is mass divided by volume.