What property of a wave represents the distance between two successive identical points on a wave?
- A. Wavelength
- B. Amplitude
- C. Frequency
- D. Period
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.
You may also like to solve these questions
Where does bile, a substance that aids in digesting fats, originate from?
- A. Stomach
- B. Pancreas
- C. Liver
- D. Gallbladder
Correct Answer: C
Rationale: Bile is produced by the liver to aid in the digestion and absorption of fats. The liver produces bile, which is then stored and concentrated in the gallbladder before being released into the small intestine to facilitate fat digestion. The stomach (option A) is responsible for the initial digestion of food through gastric juices but does not produce bile. The pancreas (option B) secretes digestive enzymes like lipase to further break down fats in the small intestine but does not produce bile. The gallbladder (option D) stores and concentrates bile but does not produce it.
Two identical balls, one made of clay and the other made of steel, are dropped from the same height. Which ball reaches the ground first, neglecting air resistance?
- A. The clay ball due to its lower density
- B. The steel ball due to its higher density
- C. Both balls reach the ground simultaneously
- D. It depends on the initial velocities of the balls
Correct Answer: C
Rationale: In the absence of air resistance, both balls will experience the same acceleration due to gravity (9.8 m/s^2) regardless of their densities or materials. This means that both balls will reach the ground at the same time, assuming they are dropped from the same height simultaneously. The differences in density or material composition do not affect the rate at which objects fall in a vacuum. Therefore, both the clay and steel balls, being identical in shape and starting position, will have the same free-fall acceleration and will hit the ground simultaneously. Choices A and B are incorrect because the density of the materials does not impact the time it takes for objects to fall under gravity alone. Choice D is incorrect as the initial velocities do not play a role in the time taken to fall in a vacuum, where only the acceleration due to gravity affects the motion.
What is the relationship between the wavelength (λ) and frequency (f) of a wave with a constant speed (v)?
- A. λ = v / f
- B. λ = f / v
- C. λ = vf
- D. λ is independent of f and v
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.
When is a solution formed?
- A. One substance dissolves in another
- B. Two or more substances react chemically
- C. A solid changes to a liquid
- D. None of the above
Correct Answer: A
Rationale: A solution is formed when one substance dissolves in another. This process creates a homogeneous mixture where the solute is dispersed in the solvent, resulting in a uniform composition throughout the mixture. Choice B is incorrect because chemical reactions involve the transformation of substances into new compounds, not the formation of solutions. Choice C is incorrect as it describes a physical change from a solid to a liquid, not the formation of a solution. Choice D is incorrect as one substance dissolving in another is the defining characteristic of a solution.
Which property of matter remains constant regardless of changes in gravity?
- A. Mass
- B. Weight
- C. Volume
- D. Density
Correct Answer: A
Rationale: Mass is a measure of the amount of matter in an object and remains constant regardless of changes in gravity. Weight, on the other hand, is the force of gravity acting on an object and can vary depending on the strength of gravity. Volume is the amount of space an object occupies, and density is the mass per unit volume of a substance, both of which can change with changes in gravity. Therefore, mass is the property that remains the same regardless of variations in gravitational force. Choice B, Weight, changes with gravity as it is a force dependent on gravity. Choices C and D, Volume and Density, can be affected by changes in gravity as they are related to the space an object occupies and the mass per unit volume, respectively.
Nokea