Final answer:
The only correct wave-speed equation from the options is D) v= f/λ. This equation reflects the established relationship between wave speed, frequency, and wavelength in Physics, which applies to various types of waves.
Step-by-step explanation:
The correct statement of the wave-speed equation among the options given is D) v= f/λ. In Physics, particularly in the study of waves, the speed of a wave (v) is the product of its frequency (f) and its wavelength (λ). Hence, the correct formulation would be v = f * λ, which is mathematically equivalent to v = f/λ when you consider that frequency is wave speed divided by wavelength.
The incorrect statements such as f=v² or v=f×2 don't represent the established relationship between wave speed, frequency, and wavelength. Understanding this relationship is crucial in the field of Physics, as it applies to all types of waves, including sound and electromagnetic radiation. For instance, the speed of light (c) in a vacuum is always the product of its wavelength and frequency: c = λf.
The correct representation of the wave-speed equation is v = f × λ.
Option A (f = v²) is incorrect because it does not represent the correct relationship between frequency and wave speed.
Option B (v = f × 2) is incorrect because it mistakenly introduces a multiplication factor of 2.
Option C (f = vf) is incorrect because it mistakenly equates frequency and wave speed, instead of relating them through multiplication.
Option D (v = f/λ) is the correct representation of the wave-speed equation.